{"as_of":"2026-08-08T18:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bee5c905b1a5afc2ab7f06f264af057ccc557898166c9b423e05345146ad4f13","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":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":8,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:51:00.549795Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":4,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-07T14:51:00.549795Z","title":"The landau equation does not blow up.arXiv preprint arXiv:2311.09420, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.18321","last_updated":"2025-05-23T19:27:31Z","snapshot_observed_at":"2026-08-07T14:30:52.349373Z","submitted_at":"2025-05-23T19:27:31Z","title":"A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:00.549795Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:eff4b92a8d4caaf2f72426aeefbeca739056e81a803fb244c1be1805c4055d85","observation_id":"d75c5bb7-22a2-4491-b533-50e5b251e541","resolution":{"observed_at":"2026-08-07T14:51:00.549795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-07T13:51:24.503197Z","title":"The Landau Equation Does Not Blow Up","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.21120","last_updated":"2025-05-27T12:39:51Z","snapshot_observed_at":"2026-08-08T04:57:52.138044Z","submitted_at":"2025-05-27T12:39:51Z","title":"Weak-strong uniqueness for the Landau equation by a relative entropy method","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:51:24.503197Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2505.21120"},"observation_digest":"sha256:67410864607a4c283c1c472536544b579599a092838df59b381db4c6e95b2a03","observation_id":"b13692e7-294b-4f1e-9d39-4543f114c103","resolution":{"observed_at":"2026-08-07T13:51:24.503197Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-07T00:26:30.982890Z","title":"Guillen and L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.14309","last_updated":"2025-08-18T15:23:45Z","snapshot_observed_at":"2026-08-07T00:15:43.104755Z","submitted_at":"2025-06-17T08:36:37Z","title":"Kac's Program for the Landau Equation","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T00:26:30.982890Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2506.14309"},"observation_digest":"sha256:4fa1941d8cb51b771c960c5497f71ada01409eb933728cfb6030960d88963549","observation_id":"4774b0a3-4c0f-48f0-a3de-021c3082ae12","resolution":{"observed_at":"2026-08-07T00:26:30.982890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-06T19:49:29.866484Z","title":"Series A, containing papers of a mathematical or physical character 222 (1922), no","venue":null,"work_id":null,"year":1922},"citing_paper":{"arxiv_id":"2507.05167","last_updated":"2025-07-07T16:23:12Z","snapshot_observed_at":"2026-08-06T19:28:01.837341Z","submitted_at":"2025-07-07T16:23:12Z","title":"The Landau equation and Fisher information","version":1},"reference_index":1975,"source":"pdf_text","source_observed_at":"2026-08-06T19:49:29.866484Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2507.05167"},"observation_digest":"sha256:3d1c82be572e6b5fa12786713c76a33361d38a14216020d827a4442f6ffb2a53","observation_id":"2bffbf2e-3313-4f6b-8a72-e51fd529195b","resolution":{"observed_at":"2026-08-06T19:49:29.866484Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-06T17:44:24.910459Z","title":"url: https://arxiv","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.10288","last_updated":"2025-07-14T13:54:26Z","snapshot_observed_at":"2026-08-06T17:32:30.332257Z","submitted_at":"2025-07-14T13:54:26Z","title":"On a fuzzy Landau Equation: Part II. Solvability results","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:44:24.910459Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2507.10288"},"observation_digest":"sha256:02508ea94166729d72d6a0012ccc50982fc6ed74ccfdda92cd44b5d5da4cea3e","observation_id":"b57b1c99-d7ab-40d5-a18b-94dad49cb5a2","resolution":{"observed_at":"2026-08-06T17:44:24.910459Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-05T11:13:29.367408Z","title":"The Landau equation d oes not blow up","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.03045","last_updated":"2025-09-03T06:15:39Z","snapshot_observed_at":"2026-08-08T03:23:23.734118Z","submitted_at":"2025-09-03T06:15:39Z","title":"Fisher information for solutions of the Boltzmann equation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T11:13:29.367408Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2509.03045"},"observation_digest":"sha256:d42144048381ca201356d581f81e627ca38710cd617947101855f9f8cf15d2ba","observation_id":"8b42a815-e491-440a-b795-6fa4e03b59cc","resolution":{"observed_at":"2026-08-05T11:13:29.367408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":"2311.09420","doi":"10.48550/arxiv.2311.09420","metadata_source":"arxiv_reference","pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"arXiv (Cornell University)","work_id":"8318fcd9-7827-4336-99a6-6b2ba701c77f","year":2023},"citing_paper":{"arxiv_id":"2601.03107","last_updated":"2026-05-14T12:02:01Z","snapshot_observed_at":"2026-07-06T22:40:51.136169Z","submitted_at":"2026-01-06T15:37:27Z","title":"On the monotonicity of the entropy production in the Landau-Maxwell equation","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-16T17:10:20.359593Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2601.03107"},"observation_digest":"sha256:bcb0193a06450f518173d485978bf954346e47112c3b112aa49516e8a4223000","observation_id":"1510d4f7-911d-4dbf-8275-79e9e4fe91bc","resolution":{"observed_at":"2026-05-16T17:11:07.810853Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up","version":2},"cited_work":{"arxiv_id":"2311.09420","doi":"10.48550/arxiv.2311.09420","metadata_source":"arxiv_reference","pith_arxiv_id":"2311.09420","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"arXiv (Cornell University)","work_id":"8318fcd9-7827-4336-99a6-6b2ba701c77f","year":2023},"citing_paper":{"arxiv_id":"2604.13855","last_updated":"2026-04-15T13:24:30Z","snapshot_observed_at":"2026-08-07T17:59:55.302394Z","submitted_at":"2026-04-15T13:24:30Z","title":"Propagation of chaos for the Boltzmann equation with very soft potentials","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T12:35:04.930397Z"},"links":{"cited_paper":"/paper/2311.09420","citing_paper":"/paper/2604.13855"},"observation_digest":"sha256:e5c8d77bfa2524c8516d1e115eb6446382ad085fd11fab9e194327daddfc3797","observation_id":"da61c8c9-7344-4145-9251-141fa85efe9c","resolution":{"observed_at":"2026-05-10T12:35:22.571699Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2311.09420/citation-record","integrity":"/paper/2311.09420/integrity","json":"/paper/2311.09420/citation-record.json","paper":"/paper/2311.09420"},"outbound":[],"paper":{"arxiv_id":"2311.09420","last_updated":"2025-01-27T21:34:09Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T16:48:16.671370Z","submitted_at":"2023-11-15T22:37:17Z","title":"The Landau equation does not blow up"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2311.09420."}