{"as_of":"2026-08-10T14:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:59b35e8bce80d3d5286a5d295baca454906922707babee3316ed71de2924ad41","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T21:33:29.764463Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T13:28:19.421944Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2509.01585","last_updated":"2026-04-17T15:28:37Z","snapshot_observed_at":"2026-08-07T18:37:09.975058Z","submitted_at":"2025-09-01T16:15:01Z","title":"Dynamics of Loschmidt echoes from operator growth in noisy quantum many-body systems","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-18T19:40:41.410269Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2509.01585"},"observation_digest":"sha256:df95b66c399bc0caba9db2a0a15aa10c0724311ab1f36471e432d873860df7fc","observation_id":"6b4c8125-8f56-43bf-a21f-564f9c589a37","resolution":{"observed_at":"2026-05-18T19:41:48.249480Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-08-04T21:33:29.764463Z","title":"Zhang, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.08060","last_updated":"2025-09-09T18:01:45Z","snapshot_observed_at":"2026-08-07T22:03:47.341365Z","submitted_at":"2025-09-09T18:01:45Z","title":"Free Cumulants and Full Eigenstate Thermalization from Boundary Scrambling","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-04T21:33:29.764463Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2509.08060"},"observation_digest":"sha256:66265674859c51d63ff798ecc6f13a98289c1ec6ddafe7c3e9478898aa601d35","observation_id":"4a9ea587-f955-4c8c-9eeb-98d31c8811bc","resolution":{"observed_at":"2026-08-04T21:33:29.764463Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-08-04T11:01:09.387870Z","title":"Zhang, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.07396","last_updated":"2026-05-28T21:14:00Z","snapshot_observed_at":"2026-08-08T11:49:39.116792Z","submitted_at":"2025-10-08T18:00:13Z","title":"Spectral properties and coding transitions of Haar-random quantum codes","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T11:01:09.387870Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2510.07396"},"observation_digest":"sha256:5ad33ddd5cc4419bedcdc5513fdf50ce1af59bb36fc30b3fcdbeb56d18c2e7f4","observation_id":"2d6c7ce2-be4b-485b-a1ac-8bef732ac247","resolution":{"observed_at":"2026-08-04T11:01:09.387870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-08-04T09:32:31.973222Z","title":"Zhang, L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.15193","last_updated":"2026-06-22T13:23:39Z","snapshot_observed_at":"2026-08-04T09:31:42.010779Z","submitted_at":"2025-10-16T23:21:28Z","title":"Open-system dynamics in local Lindbladians with chaotic spectra","version":3},"reference_index":118,"source":"pdf_text","source_observed_at":"2026-08-04T09:32:31.973222Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2510.15193"},"observation_digest":"sha256:5fff1771fdb9788d625339d8a209dd1fb24af9d4f08d806b524ad577ca38db45","observation_id":"686d14a0-5a49-4e72-a1e9-bd8b57032706","resolution":{"observed_at":"2026-08-04T09:32:31.973222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2604.12707","last_updated":"2026-04-15T15:19:17Z","snapshot_observed_at":"2026-08-06T12:03:09.343789Z","submitted_at":"2026-04-14T13:22:15Z","title":"Quantum analogues of exponential sensitivity: from Loschmidt echo to Krylov complexity","version":2},"reference_index":118,"source":"pdf_text","source_observed_at":"2026-05-10T15:10:11.847514Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2604.12707"},"observation_digest":"sha256:30df21547bb5e7b90509ae1f64282f7c07a89b0929b82125e0bfad7730ab6a3c","observation_id":"0708519a-e877-4924-abc3-7ff528b73cbb","resolution":{"observed_at":"2026-05-11T11:06:02.098855Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2604.13172","last_updated":"2026-04-14T18:00:08Z","snapshot_observed_at":"2026-07-06T23:01:14.824672Z","submitted_at":"2026-04-14T18:00:08Z","title":"Simple slow operators and quantum thermalization","version":1},"reference_index":133,"source":"pdf_text","source_observed_at":"2026-05-10T14:49:02.507578Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2604.13172"},"observation_digest":"sha256:160b11c7b3e476148295cd05d42253d971c4c72fa9da9d255b1e1ae01bd32b36","observation_id":"51c5aaf8-e09f-4531-be89-49dfa79d498a","resolution":{"observed_at":"2026-05-11T11:31:02.514689Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2604.16720","last_updated":"2026-04-17T21:47:40Z","snapshot_observed_at":"2026-08-02T20:40:16.964581Z","submitted_at":"2026-04-17T21:47:40Z","title":"Quantum many-body operator cascade as a route to chaos","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-10T06:48:27.307434Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2604.16720"},"observation_digest":"sha256:ab0877ac2508ca7b3b1b64350af088fc6609e431eee432775d9b77c036eecdcc","observation_id":"6fded969-63c7-4ff0-ab02-8c06e0c023d7","resolution":{"observed_at":"2026-05-10T06:51:46.170457Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2604.27074","last_updated":"2026-04-29T18:06:34Z","snapshot_observed_at":"2026-08-04T00:21:22.045695Z","submitted_at":"2026-04-29T18:06:34Z","title":"Long-lived local quantum coherences from hydrodynamic large deviations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-07T09:22:34.041537Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2604.27074"},"observation_digest":"sha256:edfedb14e352b6cb16fb330a7149dfe729905a853ad1118f224fd4aea7f596d5","observation_id":"dc27c41e-ac1f-439f-9b60-35f2f5c56b7b","resolution":{"observed_at":"2026-05-12T09:46:26.871291Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2604.27749","last_updated":"2026-04-30T11:40:31Z","snapshot_observed_at":"2026-07-06T23:13:11.623453Z","submitted_at":"2026-04-30T11:40:31Z","title":"Timescales for Deep and Full Thermalization","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-07T07:30:45.474278Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2604.27749"},"observation_digest":"sha256:c90974f250de8269519f1bb843caced24be54dc2d07c759415028ce8089ce09d","observation_id":"b04bcb2a-bb7b-4599-bf45-373be3ddd7ed","resolution":{"observed_at":"2026-05-12T10:11:27.674608Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics","version":2},"cited_work":{"arxiv_id":"2409.17251","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.17251","snapshot_observed_at":"2026-07-03T13:28:19.421944Z","title":"Zhang, L","venue":null,"work_id":"66bec912-35ea-46c7-be09-f93fe8004398","year":2025},"citing_paper":{"arxiv_id":"2606.12538","last_updated":"2026-06-10T18:00:08Z","snapshot_observed_at":"2026-07-06T23:51:27.152983Z","submitted_at":"2026-06-10T18:00:08Z","title":"Influence-solvability: a systematic theory of $(1+1)D$ solvability and its application to brickwork circuits","version":1},"reference_index":128,"source":"pdf_text","source_observed_at":"2026-06-27T07:54:50.013826Z"},"links":{"cited_paper":"/paper/2409.17251","citing_paper":"/paper/2606.12538"},"observation_digest":"sha256:23a2df4679856b2f5e5bb1ceff8929cbc37af70d04c7dabc4d8608fd77122713","observation_id":"8392bfcc-46e7-42e8-9019-a64714d5cff5","resolution":{"observed_at":"2026-07-03T13:28:19.423765Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.17251/citation-record","integrity":"/paper/2409.17251/integrity","json":"/paper/2409.17251/citation-record.json","paper":"/paper/2409.17251"},"outbound":[],"paper":{"arxiv_id":"2409.17251","last_updated":"2025-03-14T15:56:05Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-06T19:22:18.873914Z","submitted_at":"2024-09-25T18:07:46Z","title":"Thermalization rates and quantum Ruelle-Pollicott resonances: insights from operator hydrodynamics"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2409.17251."}