{"as_of":"2026-08-08T16:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ce173401629e01f84e465160719a5d57f05795960120b7aa7e0a76bdec9686de","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:51:23.653660Z","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":"2026-05-11T11:46:34.365343Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.10765","last_updated":"2024-10-14T17:42:22Z","snapshot_observed_at":"2026-07-06T19:33:16.949210Z","submitted_at":"2024-10-14T17:42:22Z","title":"Production of the Fisher information for the Landau-Coulomb equation with L1 initial data","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.10765","snapshot_observed_at":"2026-08-07T13:51:23.653660Z","title":"Pro- duction of the Fisher Information for the Landau-Coulomb Equation with L1 Initial Data","venue":null,"work_id":null,"year":2024},"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":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:51:23.653660Z"},"links":{"cited_paper":"/paper/2410.10765","citing_paper":"/paper/2505.21120"},"observation_digest":"sha256:27cc7f75da23a1cd36ac5be99bc98238a232775f0cb510c8d55b34d274bb3619","observation_id":"f9a53d4a-67b2-41ce-9307-acedcbb02388","resolution":{"observed_at":"2026-08-07T13:51:23.653660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.10765","last_updated":"2024-10-14T17:42:22Z","snapshot_observed_at":"2026-07-06T19:33:16.949210Z","submitted_at":"2024-10-14T17:42:22Z","title":"Production of the Fisher information for the Landau-Coulomb equation with L1 initial data","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.10765","snapshot_observed_at":"2026-08-07T00:26:30.918375Z","title":"Desvillettes, W","venue":null,"work_id":null,"year":2024},"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":25,"source":"pdf_text","source_observed_at":"2026-08-07T00:26:30.918375Z"},"links":{"cited_paper":"/paper/2410.10765","citing_paper":"/paper/2506.14309"},"observation_digest":"sha256:de5f08e4f0d8226c1205b60e4d0b794e1639e1a5beb12467e08d9daed630dad6","observation_id":"514a75ba-172a-48fc-8eec-673bd14def6b","resolution":{"observed_at":"2026-08-07T00:26:30.918375Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.10765","last_updated":"2024-10-14T17:42:22Z","snapshot_observed_at":"2026-07-06T19:33:16.949210Z","submitted_at":"2024-10-14T17:42:22Z","title":"Production of the Fisher information for the Landau-Coulomb equation with L1 initial data","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.10765","snapshot_observed_at":"2026-08-06T18:23:06.753139Z","title":"Desvillettes, W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.08689","last_updated":"2025-08-18T18:15:41Z","snapshot_observed_at":"2026-08-06T18:10:16.961464Z","submitted_at":"2025-07-11T15:38:56Z","title":"The fuzzy Landau equation: global well-posedness and Fisher information","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T18:23:06.753139Z"},"links":{"cited_paper":"/paper/2410.10765","citing_paper":"/paper/2507.08689"},"observation_digest":"sha256:ef2329229ba3baec7d6ed5f9649c1a8b59cfe523a5aee45f6d4ff011a266bed1","observation_id":"0056a459-cf12-4bed-ae74-e6bfd37d27d1","resolution":{"observed_at":"2026-08-06T18:23:06.753139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.10765","last_updated":"2024-10-14T17:42:22Z","snapshot_observed_at":"2026-07-06T19:33:16.949210Z","submitted_at":"2024-10-14T17:42:22Z","title":"Production of the Fisher information for the Landau-Coulomb equation with L1 initial data","version":1},"cited_work":{"arxiv_id":"2410.10765","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.10765","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ea5ccebe-374b-4f71-98e9-0d75dd5c96fe","year":2024},"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":12,"source":"pdf_text","source_observed_at":"2026-05-10T12:35:04.930397Z"},"links":{"cited_paper":"/paper/2410.10765","citing_paper":"/paper/2604.13855"},"observation_digest":"sha256:631e90945b9480d1e47f2e1a2b88e4302d8d7de33ab0b7873b07729a0c84927c","observation_id":"8af5c917-e94b-4bd9-9f14-9e941eebe63e","resolution":{"observed_at":"2026-05-11T11:46:34.372991Z","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/2410.10765/citation-record","integrity":"/paper/2410.10765/integrity","json":"/paper/2410.10765/citation-record.json","paper":"/paper/2410.10765"},"outbound":[],"paper":{"arxiv_id":"2410.10765","last_updated":"2024-10-14T17:42:22Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T19:33:16.949210Z","submitted_at":"2024-10-14T17:42:22Z","title":"Production of the Fisher information for the Landau-Coulomb equation with L1 initial data"},"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 4 inbound Pith citation observations for arXiv:2410.10765."}