{"as_of":"2026-08-19T21:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3704cd646f4f02f3c71ae7b98d0dd157262eff17d624571c490de1dc33749449","coverage":[{"denominator":299,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-11T04:02:28.150222Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.05672/citation-record","integrity":"/paper/2607.05672/integrity","json":"/paper/2607.05672/citation-record.json","paper":"/paper/2607.05672"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/5.0314611","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"203e4f03-b3b3-458c-9eb8-9fe15c5bd298","year":2026},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:37fba225badc4f9d52c80fe4e61b6fd45e38a60fd5a357e244291a3ead600db6","observation_id":"580a57ac-c52b-49f8-85d6-38f94f971169","resolution":{"observed_at":"2026-07-11T04:07:46.095924Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:29.647699+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:29.647699+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Chemical dynamics in condensed phases: relaxation, transfer and reactions in condensed molecular systems , isbn =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:94e56de74837c67a70d65a0374de2db69c98c8722d301373b610c8c182323618","observation_id":"c165fdd6-75ba-4105-937a-2eddc7d1d320","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/acs.jpcb.8b06112","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Makarov, D","venue":"The Journal of Physical Chemistry B","work_id":"eb4a3d78-2ce0-4d08-9491-356b1f324876","year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:30d43ec9f0448dbc3fba65aafb3c74e6f6f2152ed3d5210b8be5bc7f1a109478","observation_id":"1e971108-13a2-4a64-a82c-fd96e08f8b42","resolution":{"observed_at":"2026-07-11T04:07:46.100228Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:29.950788+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:29.950788+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/science.187.4177.605","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Science , author =","venue":"Science","work_id":"e3c68f38-fc04-4ff4-a597-e8ed13c5e481","year":1975},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:c3535087d990adb032598596576d79fa18254c05b977ddbbb5aa6189f859cb22","observation_id":"db3dae31-676e-4195-8267-2ef27abaace7","resolution":{"observed_at":"2026-07-11T04:07:46.079655Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:30.203964+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:30.203964+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1117368109","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"12edab0f-0775-48e0-bb67-ca16d4de3514","year":2012},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:8c12bfbf83078f0331d4b7656b3838215ce573359884607632a7d457d53f24e7","observation_id":"6caaac73-ed9d-4932-a7f9-1439fd7d3e1c","resolution":{"observed_at":"2026-07-11T04:07:45.851825Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:30.436052+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:30.436052+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"I︠U︡ and Khokhlov, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ba3d5c41d034ca02b5c702b47306ed023a23a08c82f4111017cc3a7c768f5b90","observation_id":"6b57703b-8b20-41cf-92ae-ff04de042aaa","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2509.09892","doi":"10.48550/arxiv.2509.09892","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"What do the fundamental constants of physics tell us about life? , copyright =","venue":"arXiv (Cornell University)","work_id":"70b0fc75-8f5a-457d-8b78-f9f70332fafd","year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:cf8cda2ffe75db34dbe06c68c83ccfaf876d1578b989cbe15d9fcebc2736daf9","observation_id":"6f8100c0-e8f5-4231-b274-66aa42518735","resolution":{"observed_at":"2026-07-11T04:07:45.843792Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:30.659657+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:30.659657+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/sciadv.aba3747","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Science Advances , author =","venue":"Science Advances","work_id":"d8dc6fdb-66dc-41b8-92cc-a74212f6c9a2","year":2020},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:7a28b874f870a38f08338f0189eec9541e78eac969181b387bfef3f037d3ac4f","observation_id":"1c0f1a59-0074-4f65-9705-fd8012eb06df","resolution":{"observed_at":"2026-07-11T04:07:46.054135Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:30.909118+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:30.909118+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.2318333121","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"1e4b2e73-9119-408c-838c-03855074f029","year":2024},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:f90185347ab90d00c17e697b3be96de9a0c2aead7889e0656f40664cc2d6cb4c","observation_id":"be9a71d9-0ccc-4d7f-871e-6191587399be","resolution":{"observed_at":"2026-07-11T04:07:45.860150Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:31.227648+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:31.227648+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/pro.2738","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Protein Science , author =","venue":"Protein Science","work_id":"5304466a-5cf9-4eda-a20a-33e597f3094e","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:63dc024ef82be52ad84f8c498d8f1d57d70c43c4750d920db18e1eed2eeabe3b","observation_id":"cb3fa0af-75a8-47bf-bf58-8b4fcfac50d1","resolution":{"observed_at":"2026-07-11T04:07:45.914217Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:31.475584+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:31.475584+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1751-8121/ad6d1e","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Physics A: Mathematical and Theoretical , author =","venue":"Journal of Physics A Mathematical and Theoretical","work_id":"48b71758-7ea4-49f3-9fb3-9e4c13f541a6","year":2024},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:1f63297ad3330479a661725c91067f2e618f2b0b274fdcc78c46e46d57fbc556","observation_id":"231021cc-3088-4d89-b20b-77687e763923","resolution":{"observed_at":"2026-07-11T04:07:45.994471Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:31.795834+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:31.795834+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:2332d1d06e4d97dcba0cf1e6351ce90b81e869ad30bdb1358fb3c65a29ccf61a","observation_id":"dc56f4ba-0758-4df6-949c-153f97060ce4","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.451844","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"242ebbb4-bc5d-41d3-8ac4-c97e2538e5a7","year":1986},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:cff990ee65b8b08d7c10980fdc54bbe928ce03d71a74b2f07394d541d17083e5","observation_id":"9344eb8c-a2a4-4890-9aeb-4536501a0790","resolution":{"observed_at":"2026-07-11T04:07:45.994117Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:32.030855+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:32.030855+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.467212","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"405e8f2b-c67f-4bf1-8240-78ce95c220c5","year":1994},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:c03392236d24894a57973ff30bb229e44799789ce216fa15c9bac7ed8c6be42c","observation_id":"d69e7ec5-bac8-49cc-b02c-3aac57c3d789","resolution":{"observed_at":"2026-07-11T04:07:45.858676Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:32.26183+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:32.26183+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.sbi.2004.01.013","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Current Opinion in Structural Biology , author =","venue":"Current Opinion in Structural Biology","work_id":"ee2a14e4-a7c8-4948-879a-2348fb7c564c","year":2004},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d5d58c53b798b41f3772b2a6021c03c7fb52e31e95bbf626b4a6ba5d71d341c8","observation_id":"b0254ae4-5173-49d5-8cf7-72ef421da00a","resolution":{"observed_at":"2026-07-11T04:07:46.066837Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:32.611856+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:32.611856+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"and Orme, Nigel , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:6fc30e1934408fb4c611128f9c17b644a64ef8e776c4e427c931c1fd55d14a58","observation_id":"e93c6206-a38a-4ac0-b565-a9af0c1280d9","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Physical biology of the cell , isbn =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:a415ca33e5b9a0bbaf5659f3a4244f3279b81bd44f7343d7f9d00b1b73171a15","observation_id":"e0680c52-7960-4aef-be09-0a54d7e65c0b","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/acs.jctc.5c01797","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Chemical Theory and Computation , author =","venue":"Journal of Chemical Theory and Computation","work_id":"ad930056-bf17-49c5-9272-35ca9d966db9","year":2026},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:96bf18607ac204b30dcffa19c1069bbc98e1da82f799137aea8ca87e1641b876","observation_id":"9ba88f18-b501-4e31-91ab-eee93d3850d0","resolution":{"observed_at":"2026-07-11T04:07:46.066613Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:32.870091+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:32.870091+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2026.103242","doi":"10.1016/j.sbi.2026.103242","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Current Opinion in Structural Biology , author =","venue":"Current Opinion in Structural Biology","work_id":"e55f75e9-d826-4f4f-a85b-fa18896ec122","year":2026},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:fbdf2f349bd2be60c0e8455ed7cbab7dfd732db81190d0c806dc854477fdd51a","observation_id":"13ab38af-6640-451f-a444-cbebb033f097","resolution":{"observed_at":"2026-07-11T04:07:45.560075Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:33.186615+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:33.186615+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrev.54.554","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Physical Review , author =","venue":"Physical Review","work_id":"36bc3625-89b3-4c4d-9098-3008fb0e8ab7","year":1938},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ee071ee0f09f28a58fa5c62a2540b4d1498bddf547c665d3ebe79d8868f39093","observation_id":"85d03c01-26ba-466c-b831-542003088473","resolution":{"observed_at":"2026-07-11T04:07:46.128063Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:33.441041+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:33.441041+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/wcms.1276","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"WIREs Computational Molecular Science , author =","venue":"Wiley Interdisciplinary Reviews Computational Molecular Science","work_id":"bdfcd79d-4877-4d97-98d4-56a20ae80718","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:3e308e4fb016d414c9b1fc113336ebdeea9775aca5efa3bf791ed49ea4bc8074","observation_id":"7953591a-91c2-40ee-8929-9008993b8c9d","resolution":{"observed_at":"2026-07-11T04:07:45.763897Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:33.666537+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:33.666537+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/ct401065r","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of Chemical Theory and Computation , author =","venue":"Journal of Chemical Theory and Computation","work_id":"ec2d456f-ee4c-4828-a8c5-2915dbc8e751","year":2014},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:2b56d5790bd348d5e48b559a1e52db720cb5c42228f9d90345c55c251ce8432d","observation_id":"2c95c28b-8125-4a8f-8cc0-2e10f21b1711","resolution":{"observed_at":"2026-07-11T04:07:45.461136Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:33.9853+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:33.9853+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1146/annurev-biophys-070816-033834","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Annual Review of Biophysics , author =","venue":"Annual Review of Biophysics","work_id":"e116cf54-2b12-44e7-a34b-92e26a341048","year":2017},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ba2c396a6439cb44efef96d6ca46cded633ff191e5c6ba558f8f3a036c241844","observation_id":"dffd7214-f0a4-4193-9a0f-1e116ace0e13","resolution":{"observed_at":"2026-07-11T04:07:45.837055Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:34.236288+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:34.236288+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.2784118","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"f54ca685-41a0-4b98-96f4-9cb6b61df632","year":2007},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ce56b44257d6d7d8d9b5811093cf88fac41ea25a553d8fdc8ce4f871b23a30f1","observation_id":"e617558e-06a1-4933-b56b-2aaf6e9605df","resolution":{"observed_at":"2026-07-11T04:07:45.941976Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:34.477413+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:34.477413+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/5.0084209","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"3f920f86-3180-4f7b-b845-70aec3cbb5fb","year":2022},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:7568af69fd2ba1ee4b2356664950417ac1c685805802c4c943549ddf5a34e4f3","observation_id":"3b0d5d87-0fad-4399-a683-c54fdf7307ca","resolution":{"observed_at":"2026-07-11T04:07:45.745206Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-01T09:38:23.222405+00:00","source":"crossref_status_cache"},{"observed_at":"2026-08-01T09:38:23.222405+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.3180821","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"04aaf50d-60be-433e-b343-0062a74529e2","year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:89a0fe8cf66480ae82c135b4b1d8fb737e3ff2c049cd39e5fc1242a399b2d7ff","observation_id":"6cc47702-9ed0-4beb-a865-214b67b52dc6","resolution":{"observed_at":"2026-07-11T04:07:45.946609Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:35.067822+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:35.067822+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Nonequilibrium","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:3a0001efa321ffc78839fd0837a84df1ce5c136280d8e3436c97aa9aaed77dba","observation_id":"b371717d-af1f-4510-bc48-d10348f4860e","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.469835","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"c91be1f7-04fd-4ea6-88eb-e0701c9bc316","year":1995},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d8f68a9eb7b746bf162ec0dd68a55b32a76bb39298c9a26c1d9e4afea64061bc","observation_id":"9dcf7364-ce33-4022-bd11-164be37ad8b7","resolution":{"observed_at":"2026-07-11T04:07:45.741283Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:35.320905+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:35.320905+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:0b7279866f5d5805cca81ed843a08664ee9c98b4a965eed6f768e4795a2df4b1","observation_id":"45e97eb2-8775-4c64-a611-7610c3ad3f6e","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Proceedings of the National Academy of Sciences , author =","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:28ab2fd7424502a6b4b991739a661deb100a27764860232ea0d90e482aca376d","observation_id":"d5202ef1-5349-4e2c-8061-439bf012da96","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Phys Rev A , author =","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:da244d8d96021a653d0b8976f5e947a628f4bec1e14574e5f51557b4faf6c08d","observation_id":"566b1e7a-6a77-4749-a1cd-7ad76124158c","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"J Chem Phys , author =","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:f12eb1b7fa15c9a2542d48b9464e3644fc914b40a23b937a71022ea5fa316b19","observation_id":"1af8c169-e4cb-469a-83ae-bfa9a47ec196","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:53567ef780b3135e8381bae8a08f1888d1b953a829cbc31b633c5ba4160c3b65","observation_id":"83df625d-585d-4ae1-b8b8-651169bcc4bf","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1119/10.0005603","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"American Journal of Physics , author =","venue":"American Journal of Physics","work_id":"8551fb0a-6ab0-489c-bf69-8e77a758e188","year":2021},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:2e6c04bbd075e174ac51190dd2fb40862519c724979d7bfe2aea64174fc73996","observation_id":"a96e366d-8c9f-4eff-abf8-9b8062df54a0","resolution":{"observed_at":"2026-07-11T04:07:46.042904Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:36.015593+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:36.015593+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41467-018-05725-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Nat Commun , author =","venue":"Nature Communications","work_id":"9c025b5a-d1fc-41e6-8e7a-b3fa2f54949e","year":2018},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:fa89d3847ca7583a646a4d602382d68cc7ef93862e5a8abbdb5566bcb265830d","observation_id":"90b0ac05-3245-42dd-85eb-d5e9d8a2e4b1","resolution":{"observed_at":"2026-07-11T04:07:45.574044Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:36.347659+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:36.347659+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.4992800","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Chem Phys , author =","venue":"The Journal of Chemical Physics","work_id":"81aa556c-1f60-4cbd-ba37-e8ad5fdf9b23","year":2017},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:009886f51c4b904086685a85519a5ab5abc7e959650f371573e31d1e05bd15da","observation_id":"58fe3489-3671-4a33-9732-62c5fb1c8042","resolution":{"observed_at":"2026-07-11T04:07:45.706443Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:36.661703+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:36.661703+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:78dcd7d32ac4f3547ae01787f189fc61b54b29783e0c7a5b0e9cdca45fd46422","observation_id":"85fb52c9-a4a7-4b2a-bc12-de12ed84944d","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ca1db3c7e330f923bfeaf527cdc59cf39be6f3797efe3892c4727af7eddcb05a","observation_id":"b8369290-b48c-4b46-b3b1-a50ccc0e35f6","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"IEEE transactions on information theory , author =","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:0be6ea1ab38ccf83f68c9bc98537f8a743c5dd249aa3e3c695d5fbacff5141ef","observation_id":"6e137982-bd35-49ab-83eb-0ddf3261998a","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1039/b813961j","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Phys Chem Chem Phys , author =","venue":"Physical Chemistry Chemical Physics","work_id":"fd38b1eb-d014-48ed-bb80-f0ec0e8864c9","year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:865b616a0eee950f86d223b587589aeeacaa40dc2250c21942d306f2a53ebe32","observation_id":"639efc9c-362d-4470-815a-4217a12b1bf2","resolution":{"observed_at":"2026-07-11T04:07:45.709835Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:36.986135+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:36.986135+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.0508234102","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"93467644-d265-40c8-8815-7671e56d2581","year":2005},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:89e8a669eab146cf50510992d1b56fc29d4aa7e468b48466aec45f53ec8bfbf6","observation_id":"f8f97580-d2aa-4c70-a285-d3275dce5d6c","resolution":{"observed_at":"2026-07-11T04:07:45.889500Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:37.270655+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:37.270655+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Protein Science , author =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:6298ccdfd2218f03c5ae42ff423a6b6a755547f930690423cd434ebca9d68fbf","observation_id":"8d6dfb99-f83e-45ae-a670-0b5b4739734f","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:12af59937d5450dd4ac15f02d93086cd02fefb4196b54387784d183a06024d62","observation_id":"242381c3-8c09-486e-8a6b-62989901c84b","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:b6bb9822d68703e92d0d3388de9c4111a05ef5c0e6b01b05ae193099a23c7ae4","observation_id":"e27b6e8a-69ff-49d7-9ebd-eb14079521d3","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:aa64f514ffe666051a3b46e41bb1e18168238a5accd61cb9d01191b3a8b9fc6f","observation_id":"ae4110fb-7c2b-4ea2-80ba-42221dbc47b1","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"1965 , pages =","venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:7c4683d6258cda1ae9a4be4034e8acba37909240732de8b174c75a6f7144ce1a","observation_id":"24eac6a2-9e2c-4c4d-9833-af8e9b197f0e","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1515730113","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"ba53fcc6-18ce-4494-80b7-f8d6186b4d3e","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:3ecb1f094b7b8f29b4e10c1a7a53c8dce336283e15efc4edc1db3cf0f6c97488","observation_id":"0896b8f0-efda-4fc9-a959-08c9779bb64a","resolution":{"observed_at":"2026-07-11T04:07:45.884225Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:37.491915+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:37.491915+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1603395113","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"03b1bf0b-72b3-4ecd-9fd6-9724550d3e9c","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:8fd7998b575dcef0186a09af1e9c001bcce8297c5aaeb642f5fc687b1f6dcfcc","observation_id":"22ff3db4-ec04-4387-969f-1cb94f886cbd","resolution":{"observed_at":"2026-07-11T04:07:45.617658Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:37.717514+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:37.717514+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Current Opinion in Structural Biology , author =","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:2a830efa61c74512177fec3e054569aa76073d72ccc50448b8f9619931b4d740","observation_id":"dd884f8b-161a-4c09-95b0-2be7864935eb","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Biochemistry , author =","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ea745829e7baca9d8b83c774e7863e7cc927190c295ad7f6a631da606b57a8de","observation_id":"3bab6b5f-4ebe-48d1-8130-dcfaeddd81e7","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.5006954","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Chem Phys , author =","venue":"The Journal of Chemical Physics","work_id":"7a44c334-3076-41b8-8581-e99fefbd6b74","year":2018},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:8af2c4d5937cc35dd03acfa4516536dfb3d74ed06bc5377c6e0235639fa3ca36","observation_id":"2944172f-145a-48a6-bdfb-8b10a9dfba75","resolution":{"observed_at":"2026-07-11T04:07:45.701616Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:38.014581+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:38.014581+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/acs.jpcb.8b07425","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Phys Chem B , author =","venue":"The Journal of Physical Chemistry B","work_id":"8d62680d-f2ca-42ac-9fa2-0a99999606e2","year":2018},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:836587a2aa55f279aa347519d1351ecfa37ab105e6c5be130110e9bb11bd5b93","observation_id":"edee9fe6-1397-40d9-9189-3a2f9f298767","resolution":{"observed_at":"2026-07-11T04:07:45.583476Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:38.248045+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:38.248045+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/jp1089596","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Phys Chem B , author =","venue":"The Journal of Physical Chemistry B","work_id":"26400dce-1aeb-4603-941d-7bdd46795484","year":2011},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:0acb3614b6d4ed716ec52087e3e3010e5d7a656c76e2e45ada540186da18f735","observation_id":"d21f2912-7bb3-4dc8-9940-043e3e2aef8a","resolution":{"observed_at":"2026-07-11T04:07:45.568375Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:38.527391+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:38.527391+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/ja511609u","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Am Chem Soc , author =","venue":"Journal of the American Chemical Society","work_id":"903b7307-814f-47ed-9048-72074223427f","year":2015},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:e29982f30582b4e64096265b9aee439a9b2067d345b10711da00481ffe5e152e","observation_id":"82a68341-0ce6-466a-add5-c532c05cfba3","resolution":{"observed_at":"2026-07-11T04:07:45.836236Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:38.835947+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:38.835947+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/acs.jpcb.5b09741","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Phys Chem B , author =","venue":"The Journal of Physical Chemistry B","work_id":"518d1963-3361-451d-957a-c105add757c8","year":2015},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:561ca78cc5f18c1288107cf34277ff9e8be87bf1c5dcbc761ae846f999ba0b9e","observation_id":"af1c4c08-4fa4-4b06-aa27-72270da6c112","resolution":{"observed_at":"2026-07-11T04:07:45.578524Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:39.081957+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:39.081957+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/jp900445t","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Phys Chem B , author =","venue":"The Journal of Physical Chemistry B","work_id":"f6bb3911-9bfe-443b-ac85-80d3362755b4","year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d3bed7f3f0163193009458be968ba9ef222c5acb8ef9fb36ee5ce42005e799ab","observation_id":"661856b2-916b-4019-99ca-6a37c4f58135","resolution":{"observed_at":"2026-07-11T04:07:45.486829Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:39.315899+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:39.315899+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/ct0502763","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Truhlar, Donald G","venue":"Journal of Chemical Theory and Computation","work_id":"73ade6b6-85b1-4459-9097-1ef6c922be66","year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:807a116d7fb6a37d2d04ec35dd3d0997c0989cdaabce778b9c51e06e49fb8c8a","observation_id":"909bbc25-62ea-4ca6-80e4-d3649aa302d1","resolution":{"observed_at":"2026-07-11T04:07:45.802242Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:39.614894+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:39.614894+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/nar/gkm1017","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Nucleic Acids Res , author =","venue":"Nucleic Acids Research","work_id":"e404ca57-e54e-49e3-9d80-7c7f7dbcd687","year":2008},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:fb7728e41797620bae972defc31e1d21854b50f15e390ae03935112ca3f11561","observation_id":"5641fcb6-d47f-413d-8908-4ae278b1f429","resolution":{"observed_at":"2026-07-11T04:07:45.669300Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:39.870173+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:39.870173+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10704-010-9535-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The resistance curve for subcritical cracks near the threshold , volume =","venue":"International Journal of Fracture","work_id":"a415beb9-3410-481b-99e4-3ecb200e005d","year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:31b72f654add72c017c832f53a81f725995c0f9afc860d21e8f3580ea2ee85eb","observation_id":"eb6944e2-9507-46a5-9325-18d4b7631b3b","resolution":{"observed_at":"2026-07-11T04:07:45.728011Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:40.115651+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:40.115651+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.str.2012.02.013","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Structure , author =","venue":"Structure","work_id":"07e63902-a00c-480f-8d2c-feb5b7fae05f","year":2012},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:c80b9f52acdbd0ded4c1bbb75873193a46494e310be101546b3b56b144b0140c","observation_id":"a7027781-3bb2-428e-a23f-23d8d8b7a30b","resolution":{"observed_at":"2026-07-11T04:07:45.751311Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:40.413536+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:40.413536+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d0f7869751d05eb5b0c91ef1984e30adbab5a721e85d9c94fdfea4307b7b57de","observation_id":"a2089f6f-193a-43ee-ae2d-db6b81aa9fef","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1146/annurev-biophys-062215-010925","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Annu Rev Biophys , author =","venue":"Annual Review of Biophysics","work_id":"4811b0f6-cb59-4565-9996-12280939a2cf","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:2fce54eec48c206dcda841ddf6ae51d26f8c2d7ee437f916299e7e7dbb9ba30a","observation_id":"582ef2d5-a5bc-4360-b527-b1b8683bca8f","resolution":{"observed_at":"2026-07-11T04:07:45.473782Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:40.660803+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:40.660803+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Journal of Statistical Physics , author =","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:595c7a8c66728802ad5dd63f47e13db0431b21bb93f671f9413df7a7d09fcb66","observation_id":"a228d665-c564-4fd4-accd-7afb7376ea81","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1039/d3sc06189b","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Chem Sci , author =","venue":"Chemical Science","work_id":"fac7a773-3ca0-4308-9693-b8cdbc4db68b","year":2024},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d76fa34a51729dad82737bce4b1bd47a72162e210f3756b83f6608c49e2fc9a2","observation_id":"2ae1f3be-d06f-419c-aab3-9e2561babc63","resolution":{"observed_at":"2026-07-11T04:07:45.866198Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:40.95325+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:40.95325+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:8e7ff29ee564c111151f7bbcb85006ff3d25807a76b9e68ebfe05ba7ed4f4225","observation_id":"e283d134-5f21-492e-940d-25c1a7a83cd1","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:42e7d6dfcf842b74160ac76265bf416ef8fb213f84a5483826da02c941fa4911","observation_id":"11030a2f-a3e2-4d4b-aaab-ec7fe133b5b8","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/ja9942742","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Flowers, Robert A","venue":"Journal of the American Chemical Society","work_id":"e0c97eaa-7f1f-4f6d-8b67-572afaacb1aa","year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:142ebb2a4d1a929307729631d7c74972c7f45e16ff2d05f18780a46ac40c7c10","observation_id":"8c61e633-743b-4230-8c44-cfc7149dfa7a","resolution":{"observed_at":"2026-07-11T04:07:45.677893Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:41.187416+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:41.187416+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Journal of Molecular Biology , author =","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:b411c0d2f74e4bfd50d2a67bc08225cfa9fd0139712a8178508bc0cdd26d2c70","observation_id":"d9503646-4396-446a-af7c-7659ec0f1baf","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/acs.biochem.5b01283","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Biochemistry , author =","venue":"Biochemistry","work_id":"5e22de45-40d0-4646-8d20-f89a51f02708","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:be3f74ea4e652b1357ac04fae932842d56ead2ed0a9ea4cdc1194fd3d448308e","observation_id":"aa509912-013f-4d27-8bde-f975dba8909e","resolution":{"observed_at":"2026-07-11T04:07:45.533145Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:41.433482+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:41.433482+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/bi992715o","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":", month = aug, year =","venue":"Biochemistry","work_id":"b3549f95-eeeb-4ba1-a875-c6af2cd74ce8","year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:241059a3fb24cef2391bd4614b850fcfd98620f3be4df792ce161ed721fe2716","observation_id":"b9f51e85-c2c1-4d4a-ab0e-909be7434186","resolution":{"observed_at":"2026-07-11T04:07:45.497836Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:41.68962+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:41.68962+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.126.080601","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Phys Rev Lett , author =","venue":"Physical Review Letters","work_id":"3d03b3d4-dab8-4dfd-81ef-09a3399f4fe8","year":2021},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:cc46a189b3e77263d09575c2ccb53eea73996d701a8d6aafb8362946ad1c4f87","observation_id":"26e9b8dd-cbd8-4133-9545-56417136f8e7","resolution":{"observed_at":"2026-07-11T04:07:45.697544Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:41.943026+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:41.943026+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Elife , author =","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ab9b2a7137a77e09147eca22cda8f412f66ae150c2e1b86723bb7da38f0af8c4","observation_id":"89234a3e-9c49-4165-ae8f-647f436f92b3","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/science.aah7124","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Science , author =","venue":"Science","work_id":"2a19a792-5249-4b0b-b740-d9af30fc1ec5","year":2017},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:9bc75eab7ef6aa593173a146b17f0ccdabdb75127219aff75e7ec54a9eba97d2","observation_id":"234e95f7-bf96-4994-984c-a0674791280d","resolution":{"observed_at":"2026-07-11T04:07:45.503602Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:42.480623+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:42.480623+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1107736109","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"d83aff9a-6081-49b8-ad46-ba8928b67d24","year":2012},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:31c75dae6e36a32aa53a693b57867cc7585335101f1d275c302b326e044c2003","observation_id":"035d98d4-a841-4bb7-bafd-63c2a95ca9a0","resolution":{"observed_at":"2026-07-11T04:07:45.892409Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:42.730925+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:42.730925+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1206190109","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"8c00592b-4bd5-4bbf-995d-473bdeaeb037","year":2012},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:c9b7d9b0d710df1bea751c71f7284a4a22c73aeb0634d597a446f924fb444a85","observation_id":"974db763-c9ad-46e7-9d1c-c54d52f33d18","resolution":{"observed_at":"2026-07-11T04:07:45.894018Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:42.966195+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:42.966195+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.1419197112","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"054d9717-ce64-480e-bd8d-afd313d5b7cf","year":2015},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ddf9d851a39976c552723a5095be3b6209627389222a6ceb1217c551c29a970c","observation_id":"68e4d65f-0c39-43b7-b88b-e104b22f4bf4","resolution":{"observed_at":"2026-07-11T04:07:45.687017Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:43.214548+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:43.214548+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/jcc.21107","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Journal of computational chemistry , author =","venue":"Journal of Computational Chemistry","work_id":"7efdac33-d12d-4788-aa5f-4156cafc74a5","year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:1b8bbb9e22648e91a833cdb6c38f8d5e04d63b6ab26c6b148530183cfbea8412","observation_id":"6265a2bf-23ff-4870-a650-d535ef4a0b93","resolution":{"observed_at":"2026-07-11T04:07:45.540548Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:43.438324+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:43.438324+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/s41467-020-17149-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Nat Commun , author =","venue":"Nature Communications","work_id":"65365c86-4388-4484-8140-0c0dcd1bc473","year":2020},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:ceec02c9ca890e396fe46f144bb2a9546a50e673c5a5922a53bf2d3695468d43","observation_id":"e8407720-7e74-4033-a56e-78ba600baa1e","resolution":{"observed_at":"2026-07-11T04:07:45.822926Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:43.747035+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:43.747035+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Phys Rev E Stat Nonlin Soft Matter Phys , author =","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:39fdc3441ab3fea98a56c4138d0341e900bf9e9d8f1958acee4cf9ec2f7e2546","observation_id":"466ba62e-e267-425c-93b9-cb26b1a9b475","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":80,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:e01869ada90ab414f5758d447cc9360d96414c28ff8a6d96e7eb16529cbc94b1","observation_id":"6f4f057c-12fc-4551-95c6-53d97b79c8db","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.0402699101","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"ae4b6e5b-7031-45c8-a854-a49974980ced","year":2004},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":81,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d84dccba7fad04a9cf5f1e384860bb78244dd1025315c11af87479370989e865","observation_id":"2183fd66-5776-4a4a-9d35-fa36efa3207b","resolution":{"observed_at":"2026-07-11T04:07:45.517493Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:43.992173+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:43.992173+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/acs.nanolett.8b03342","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Nano Lett , author =","venue":"Nano Letters","work_id":"62972b44-5fd5-4454-bc11-1af600646331","year":2018},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:f783ff1136fcf11a4afee34d1ba02e892196c7edd54febe2fac9807ee3a97407","observation_id":"f06ba508-5ddc-4aba-8718-e1a9c2f59c04","resolution":{"observed_at":"2026-07-11T04:07:45.549385Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:44.224838+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:44.224838+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":83,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:065cd6de84d421b2c4895a28649d738eaf8c13b4811bf5720c0bb74495074c1a","observation_id":"8821f255-fdde-4a8b-950f-7db4f7ace68c","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.1521154","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The Journal of Chemical Physics , author =","venue":"The Journal of Chemical Physics","work_id":"d512b069-0b87-4797-9836-e6c39a662de8","year":2002},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":84,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:53641d4150975beb7809d18d8d189ec2767aa904b0bfc4f787a550d12dae3d6c","observation_id":"6e14d622-7805-4307-8f02-65c4b742f351","resolution":{"observed_at":"2026-07-11T04:07:45.652682Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:44.547005+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:44.547005+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/science.1086911","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Science , author =","venue":"Science","work_id":"d35b5020-9289-465c-92ae-160f3d906b26","year":2003},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":85,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:088e34923e05549b395db6cdc25d8fc122907d0692a2fc6f44abc75701c92867","observation_id":"6650e3bd-af4e-4821-8188-7505990b20f6","resolution":{"observed_at":"2026-07-11T04:07:45.800631Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:44.827024+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:44.827024+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":86,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:d5be227078b1377b7cb7a4b9d7cb603ca13adbbf20fb5fbeb95634d30e2d3aa5","observation_id":"f166514a-dba6-4935-bc80-3d8d9b949d3b","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1073/pnas.2015618118","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proc Natl Acad Sci U S A , author =","venue":"Proceedings of the National Academy of Sciences","work_id":"a58782a8-018e-41e5-845e-a868e8fb3068","year":2021},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:4fd5c3ad638ba41413a86b17af16d004361a61390b4404f2bc77458a220fd7b0","observation_id":"af5c3f2e-4223-4631-904b-3696cd264ef9","resolution":{"observed_at":"2026-07-11T04:07:45.637644Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:45.150329+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:45.150329+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":88,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:3204728e04286f317c304d0c77530edfb7e6dd4e0decf79d60138ca12323e261","observation_id":"2b874bea-f0f8-458b-ab52-48e745296ca8","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:70a7f04dffc886035b276ff3c1e510931401b42c35d0dcfb9b012ca05ce599ce","observation_id":"6137bfe8-637c-42e4-910a-6bf3f90fede9","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.4958675","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Chem Phys , author =","venue":"The Journal of Chemical Physics","work_id":"2168c97f-4a3f-4f68-9a78-dfe2e19073e8","year":2016},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":90,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:36b90cc12cfcc5e0af5ca8a365a29722973aeb5337b66a41c21cd594203cb18a","observation_id":"dd1d11c9-6795-423f-be42-8f808a1d7cb8","resolution":{"observed_at":"2026-07-11T04:07:45.778407Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:45.47202+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:45.47202+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1101/2023.04.03.535440","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"doi:10.1101/2023.04.03.535440 , abstract =","venue":"bioRxiv (Cold Spring Harbor Laboratory)","work_id":"978e909e-5a3a-48e6-8da2-611978bc53b8","year":2023},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":91,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:5a4199c603da6ae794045502a9a28cbede4a25f8765e10943bd99516545a93ed","observation_id":"c25cad29-5990-4f1b-9ebb-e4faa1e660b7","resolution":{"observed_at":"2026-07-11T04:07:45.650252Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:45.791858+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:45.791858+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.3281688","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Chem Phys , author =","venue":"The Journal of Chemical Physics","work_id":"14b27d3b-90ba-498c-b766-a209696dc80f","year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":92,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:76580452aec8ceca10efb10076fe4926d10a249c3303f292a5c78961422f7396","observation_id":"16ff5832-5b35-4899-9d27-86d452e125fc","resolution":{"observed_at":"2026-07-11T04:07:45.535621Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:46.111184+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:46.111184+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1063/1.2976010","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Chem Phys , author =","venue":"The Journal of Chemical Physics","work_id":"55a1a20b-6133-4bea-b3be-aa4f49434dd9","year":2008},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":93,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:b1f80ae4e2ad31583c26eb001ad21c0d503cefd9931c8bea27d7f76a3d6c6414","observation_id":"0c3b1832-6414-4cb1-8da1-4a9da6969f50","resolution":{"observed_at":"2026-07-11T04:07:45.773412Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:46.368612+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:46.368612+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Surface Science , author =","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:14ef4c504c1a42d7e8903d5dedc5650fab88734768a82c728a01a1a1f2f70772","observation_id":"bf4981a1-22ab-4e95-9ea6-5e3d6ee8b957","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/jacs.4c16062","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"J Am Chem Soc , author =","venue":"Journal of the American Chemical Society","work_id":"220d3807-918e-41f3-801b-1aaf60675942","year":2025},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":95,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:92328748110d4e5f2d228cc489f8211e7600eb935f11c71788b9551973cbc7ce","observation_id":"38e78468-3519-4db3-a015-f7feaad24943","resolution":{"observed_at":"2026-07-11T04:07:45.910295Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:46.691649+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:46.691649+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":96,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:5918a97cd7182131c0f3a718f0dbb89ed78a359027f508514e33ca1c88e9b4d5","observation_id":"ed67681c-9cec-4db5-9bb2-0dc4a3494e64","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"Theoretical Chemistry Accounts , author =","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":97,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:29ca3396cb3f595e90dbdd49fc8989da863ccda16157a9241af6c62a3f1dec5c","observation_id":"1aba9447-8d93-49a3-8557-895c4ac4e382","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.bpj.2009.02.052","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Biophys J , author =","venue":"Biophysical Journal","work_id":"fd9a6f1c-9e98-4afd-8e17-a90c641a371f","year":2009},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":98,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:86aebdab74dce5c170eeac5dbb9001a87c36bbc6d0cafeaa1c3384a35c5f6ba7","observation_id":"752a10aa-a4c5-4849-a632-7798a308c258","resolution":{"observed_at":"2026-07-11T04:07:45.632454Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:46.924157+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:46.924157+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1021/jp400797y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"2013 , keywords =","venue":"The Journal of Physical Chemistry B","work_id":"33559ae0-3202-4398-afe8-368f019bbad1","year":2013},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":99,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:c390a204c773bc268bab6cf1a706522f316e04b78141e8374175e059964b0c50","observation_id":"2dac3667-e02d-49a1-9472-70e6a4c4333b","resolution":{"observed_at":"2026-07-11T04:07:45.789199Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-11T12:49:47.266074+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T12:49:47.266074+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T04:02:28.150222Z","title":"IEE , author =","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities","version":1},"reference_index":100,"source":"arxiv_source","source_observed_at":"2026-07-11T04:02:28.150222Z"},"links":{"citing_paper":"/paper/2607.05672"},"observation_digest":"sha256:536cdf010ce9f9d2bb9ba7cad923f86a69b1d8c75939465de8a671bf51cd74ef","observation_id":"32e4919a-2453-480d-b72f-7b74c90f4d1c","resolution":{"observed_at":"2026-07-11T04:02:28.150222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.05672","last_updated":"2026-07-06T22:31:13Z","latest_version":1,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-19T04:53:45.781636Z","submitted_at":"2026-07-06T22:31:13Z","title":"Modern view of activated rate processes: unidirectional fluxes at equilibrium, correlation functions, and splitting probabilities"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":37,"verified_exact":63,"verified_fuzzy":0},"total_outbound_references":299},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 100 of 299 outbound references and 0 inbound Pith citation observations for arXiv:2607.05672."}