{"as_of":"2026-08-20T20:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:37e9a9d60422ed91dc51a7306b4e9e82824729ee526a29a739cb567a07999b49","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:09:32.305611Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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/2412.14644/citation-record","integrity":"/paper/2412.14644/integrity","json":"/paper/2412.14644/citation-record.json","paper":"/paper/2412.14644"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.503881Z","title":null,"venue":null,"work_id":"ade3ff3a-6fe2-4c2d-b7da-2b2f3775f21c","year":2024},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.065957Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:91b6b94341e57e78318b9746c04ce13a22673781b3269e2b70c3c795fbaa896e","observation_id":"9037368f-1b7f-454e-84e0-69953b73dea8","resolution":{"observed_at":"2026-08-11T12:09:33.510707Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.481693Z","title":null,"venue":null,"work_id":"1311477a-cec3-4cc0-9391-2ee9f9d560fe","year":2016},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.072326Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:cae1029b03b2fc304ad5bdfd0e4d01222d6b7109d716840a6753d5d88d6265e9","observation_id":"3d2a551c-0b79-4525-adcd-541d4c3b4107","resolution":{"observed_at":"2026-08-11T12:09:33.488665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.16690","last_updated":"2024-02-13T16:38:08Z","snapshot_observed_at":"2026-08-20T15:37:12.986073Z","submitted_at":"2023-12-27T19:00:17Z","title":"Resonance based schemes for SPDEs","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.16690","snapshot_observed_at":"2026-08-11T12:09:32.079789Z","title":"arXiv preprint arXiv:2312.16690 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.079789Z"},"links":{"cited_paper":"/paper/2312.16690","citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:13b0df5243042c0f8689b44a7b03749e988a1ef47168169ac97642ec55e0ae0c","observation_id":"812c5c25-ece6-43fb-8518-ec91cb3191b3","resolution":{"observed_at":"2026-08-11T12:09:32.079789Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.460643Z","title":null,"venue":null,"work_id":"0f78e503-4e49-42d6-86fa-e3335a76030e","year":2021},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.087199Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:1e282dbdf0b4d17475519c0589f80fea0f59f3b5509c844e0815415263824715","observation_id":"6dc9a40b-acc1-4d8e-a15e-09b0e463a054","resolution":{"observed_at":"2026-08-11T12:09:33.466052Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T12:09:32.094559Z","title":"To appear in Forum of Mathematics, Pi , 10, E2","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.094559Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:da1d6e84e8db86fbc7a26e58995317b1dd1806db4087b180652bd3cb5ae2a05b","observation_id":"0ac2e4b3-5ec2-4018-90cb-003cd2a0fa7f","resolution":{"observed_at":"2026-08-11T12:09:32.094559Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.433795Z","title":null,"venue":null,"work_id":"2af91340-b7a3-462e-8a22-ecd63d30ecdc","year":null},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.101352Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:a16ce22bc0c13cd41bb0f4ac7e035db60a323c4459e0aba96f44ad37397e088c","observation_id":"1febe041-41d3-48cf-bf2e-b8ea6afa85cc","resolution":{"observed_at":"2026-08-11T12:09:33.446077Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.412692Z","title":null,"venue":null,"work_id":"1aa90935-96a5-435e-a87a-c3448027f58c","year":2020},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.107782Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:a4aea174a68a4693eff60bf107ff3446ddab913755234e917537f35250d70e68","observation_id":"53ce748b-312b-41df-8d06-cbc2d5483741","resolution":{"observed_at":"2026-08-11T12:09:33.419526Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.388486Z","title":null,"venue":null,"work_id":"dc58e2ff-5ebd-4891-9fa5-1c27de275ad8","year":2008},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.114870Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:a0781f7e200942cc6c789b19c1f376385e7a6b682dda9e95edb8b906612e4b60","observation_id":"12c7742b-23b6-4475-a452-9bf6e0af40e7","resolution":{"observed_at":"2026-08-11T12:09:33.396776Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.357264Z","title":null,"venue":null,"work_id":"5a2261d4-49fd-4ae0-8df4-1605bae67fb3","year":2013},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.120841Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:f25a5bded771181b5e034fe6f9c74425b07f78018c1e1edc30878583787b177b","observation_id":"299ca41a-3877-402e-8d6e-11eb45c7aa53","resolution":{"observed_at":"2026-08-11T12:09:33.366826Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.327012Z","title":null,"venue":null,"work_id":"e65e8dcc-b520-410f-bb27-f3ac89624c81","year":2016},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.127454Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:2981fd5ae5fffb455656a31b5957a5af3931196db489620692d80709d2643463","observation_id":"efd2d353-fd24-4b41-b446-d9f61d0dc2bb","resolution":{"observed_at":"2026-08-11T12:09:33.334112Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.295879Z","title":null,"venue":null,"work_id":"2acd15df-5d85-429c-bff5-8aff696b56b7","year":2024},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.137794Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:250bc79543cc1cdf0c3534468d6d6f5ab6363e7c9aaeba95545ab9cb476e0533","observation_id":"071287f5-9d91-4ea5-b39b-694553fd0439","resolution":{"observed_at":"2026-08-11T12:09:33.304203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.264730Z","title":"Dalang: The stochastic wave equation","venue":null,"work_id":"fd284fe1-be64-427c-8681-709aca707b2b","year":2009},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.143644Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:7c6b62ab4578c8e52f05b82c2eac4d8a7846a098b03b9d71ceaa304612b0e4ab","observation_id":"65cec3e5-b768-49ed-837a-4e5a7ad5a2ab","resolution":{"observed_at":"2026-08-11T12:09:33.274827Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.233330Z","title":null,"venue":null,"work_id":"f1bb9389-9dda-4f1d-9a3a-ce485aa18df4","year":2024},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.152479Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:20902a59d51d5b9260972816226896c1664a0de7863ad4f858f1f0193e03a4c7","observation_id":"472834ea-877d-405e-80b4-1b41b507140d","resolution":{"observed_at":"2026-08-11T12:09:33.243632Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.205622Z","title":"Guo: Spectral Methods and Their Applications","venue":null,"work_id":"5858e98a-c515-40be-a9ff-4d3a86c03526","year":1998},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.159843Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:1fbe59bddb1efb916c32c1533022c8d0975d740f36dcb5803914d59e3be72a5f","observation_id":"a12b71e0-61b5-46f6-8845-9c428d299485","resolution":{"observed_at":"2026-08-11T12:09:33.212332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.176634Z","title":null,"venue":null,"work_id":"726e3f47-c53f-4165-8db3-48ab7b25c9dd","year":2017},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.166818Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:66bef21602c2a832a86b2409a583121ff121c8809158650a258cf89d84ee85c1","observation_id":"af1fea54-369d-41d0-9ff9-41cb73d97244","resolution":{"observed_at":"2026-08-11T12:09:33.186977Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.113153Z","title":null,"venue":null,"work_id":"4236d651-884b-41e3-8cf7-05e1f523fb48","year":2022},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.176070Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:30d4e44ea14d3a3b98aff590dd8870197d6490dabd7140dcf0d6433989fd3cbd","observation_id":"19de967b-02bb-4e32-b694-fac109388e15","resolution":{"observed_at":"2026-08-11T12:09:33.128277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.063003Z","title":"Shreve: Brownian motion and stochastic calculus","venue":null,"work_id":"94dbd5c9-85ea-4f5b-85e6-f794b9b530f5","year":1998},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.188201Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:24471a9d65d70b726dce0d3031f8a77b2bf45089c83a14130f282f8697b1eecd","observation_id":"6b6fabd3-7638-4889-b040-6f82e016fd70","resolution":{"observed_at":"2026-08-11T12:09:33.077464Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:33.032912Z","title":"Fully discrete schemes","venue":null,"work_id":"bb30b76a-8c6a-470a-bc3b-c19d0e2baaf7","year":2013},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.200526Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:678b3797eb3cd42845d32d7a424de43b2b4f12c0d835903dc100591ebb541174","observation_id":"f2b29861-30dd-4dad-874b-7e3264d3e3bd","resolution":{"observed_at":"2026-08-11T12:09:33.039992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.987350Z","title":"To appear in ESAIM:M2AN","venue":null,"work_id":"301893d3-da20-4269-862a-9ab005f3946d","year":null},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.208841Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:d0c8a0022b25d758d0ef511e5d6c2604a2fa5f5c60ba63609e1231fb78e48476","observation_id":"a3de1a33-ad88-4b22-aca6-6cc9dffd5925","resolution":{"observed_at":"2026-08-11T12:09:32.998100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.956368Z","title":null,"venue":null,"work_id":"39b2db5d-334c-4ade-8424-28a054905a2b","year":2018},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.217102Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:d2a7f4e38154b38ef322dbb4c5718cf09e508cee58d41732081585a1bcace5c1","observation_id":"51eb3715-4849-4801-9dff-ba4437333b35","resolution":{"observed_at":"2026-08-11T12:09:32.965742Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.927383Z","title":"To appear in J","venue":null,"work_id":"3d57ab97-7c1b-4ea2-9b35-b6dd7e6ee93c","year":null},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.233792Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:9e9336b42b5b5777aefe0e30479ac15dac348a98773da1093c92115ae034ae7f","observation_id":"d178f7d2-ae20-4c6a-9f8b-95e4dc63f136","resolution":{"observed_at":"2026-08-11T12:09:32.934779Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.887552Z","title":"Cambridge University Press, Cambridge (1996)","venue":null,"work_id":"efcfbc97-9779-4495-b72b-1e956cb00892","year":1996},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.242816Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:9d1c5df47ee93689b2a61a77947e4122b3efe3872a1a3b515797a5f62556d88b","observation_id":"961a1984-c03c-45de-a31e-8acf2be61389","resolution":{"observed_at":"2026-08-11T12:09:32.904647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.865094Z","title":"Potential Anal","venue":null,"work_id":"62e553a5-2a17-4fa6-9f3b-acdd2c0624a0","year":2006},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.252146Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:1402e6c6dfbd3286b11ac9bbcbaead756e8920f01f772b3f58ca54a352b33fba","observation_id":"2ffce670-8bbd-499f-8139-8a2a2624fcb3","resolution":{"observed_at":"2026-08-11T12:09:32.871847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.840463Z","title":null,"venue":null,"work_id":"71be8e4a-3e7b-427a-8206-59d8138fad7e","year":2021},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.259071Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:ed6effef8e6bae5a275c85d89650b2e39a3bbe8cf8329d4c7a5003210517aef8","observation_id":"7c6aa518-b183-4727-a1f9-45b13f2067b8","resolution":{"observed_at":"2026-08-11T12:09:32.849363Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.815056Z","title":"Thomas: Persistent energy flow for a stochastic wave equation model in nonequilibrium statistical mechanics","venue":null,"work_id":"a4d38e7c-a9f7-4e7d-8bd3-0a3c9a9c9536","year":2012},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.264995Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:0cfd9e237ab10884be9313e8f500f5f6cf36d23778e840a0f8180148b5c81655","observation_id":"53c884e1-2640-4019-bb3e-ac4ed28653fe","resolution":{"observed_at":"2026-08-11T12:09:32.822186Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.789706Z","title":"Walsh: On numerical solutions of the stochastic wave equation","venue":null,"work_id":"d67ae152-0b75-482e-abdf-63e2390a88c9","year":2006},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.270829Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:1d84d5054ef9fe7ff82a4bc860754df23c408ae243f44b724eff99e1cb188847","observation_id":"245699f4-0422-4f2a-903b-5da912a6a13c","resolution":{"observed_at":"2026-08-11T12:09:32.798069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.761825Z","title":null,"venue":null,"work_id":"6af866b7-e912-4138-8192-432988e44beb","year":2014},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.278142Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:98de8b4ff5dfae6aee9b43c1718377bdbd0cd8d9d309f679c6846686a5851052","observation_id":"d5b6d3b7-6926-4930-8278-59a9377cb215","resolution":{"observed_at":"2026-08-11T12:09:32.770985Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.520489Z","title":null,"venue":null,"work_id":"24b9d2c1-7db5-4c74-bfa3-2b7a2a22e2e3","year":2015},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.285156Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:cadb3d8876cf9c704afe41327470f5d1295d429c35fb4f421bc8eb8874b85e9a","observation_id":"14c1efc7-2758-4211-9827-9c833739ec5b","resolution":{"observed_at":"2026-08-11T12:09:32.746064Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.481375Z","title":null,"venue":null,"work_id":"3f876df1-d1f9-432d-8820-91340cb66657","year":2021},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.291261Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:0fda645504a108c538e6063d1e9de7b9e4122061941bde03a269fb142d26d717","observation_id":"d20ef72a-95f2-4280-bb71-925d611f3cc4","resolution":{"observed_at":"2026-08-11T12:09:32.487332Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imanum/drab054","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.378544Z","title":null,"venue":null,"work_id":"9d12e899-e584-4531-93bd-8478b239cf8e","year":2021},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.299129Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:9d5a068beb57a4129e80875ef88829e7911993dc40a9994db8415af7ad1fa365","observation_id":"b8e08ab8-ee21-4164-bb90-15d70d130d59","resolution":{"observed_at":"2026-08-11T12:09:32.386352Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:09:32.450016Z","title":"BIT Numer","venue":null,"work_id":"b5267163-5ef8-4547-be04-c513ac996826","year":2022},"citing_paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T12:09:32.305611Z"},"links":{"citing_paper":"/paper/2412.14644"},"observation_digest":"sha256:302610d03f604df8eadf91e15056b7ef41a8aca30e16f8f39ac8b83ba0ac16f7","observation_id":"4a05bfdc-ed27-407a-9f78-e23bd3f36376","resolution":{"observed_at":"2026-08-11T12:09:32.458391Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.14644","last_updated":"2024-12-19T08:53:55Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-19T17:37:21.604795Z","submitted_at":"2024-12-19T08:53:55Z","title":"Computing rough solutions of the stochastic nonlinear wave equation"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":1,"verified_fuzzy":11},"total_outbound_references":31},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2412.14644."}