{"as_of":"2026-08-08T22:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d15e554e17e9855be34909409fc30c3282283787a85e84f41ccdeb2a450fae8","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:51:01.215588Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T14:51:02.174646Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1910.03110","last_updated":"2020-09-23T04:45:26Z","snapshot_observed_at":"2026-07-30T23:46:22.143895Z","submitted_at":"2019-10-07T22:04:26Z","title":"Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit","version":2},"cited_work":{"arxiv_id":"1910.03110","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.03110","snapshot_observed_at":"2026-08-07T14:51:02.174646Z","title":"Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit","venue":"cond-mat.stat-mech","work_id":"9e7fb6e1-3108-4ac9-91c7-2acfce3d46c2","year":2019},"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":26,"source":"pdf_text","source_observed_at":"2026-08-07T14:51:01.215588Z"},"links":{"cited_paper":"/paper/1910.03110","citing_paper":"/paper/2505.18321"},"observation_digest":"sha256:b3e3d3dbb64b3bf82ef650f29bdf08908e8c2ed2b00a46ddd01557b13a6c3642","observation_id":"b9f2d4bc-8e9d-4a42-963b-679192fc40b1","resolution":{"observed_at":"2026-08-07T14:51:02.228023Z","resolver_source":"local_arxiv","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":"1910.03110","last_updated":"2020-09-23T04:45:26Z","snapshot_observed_at":"2026-07-30T23:46:22.143895Z","submitted_at":"2019-10-07T22:04:26Z","title":"Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.03110","snapshot_observed_at":"2026-08-04T19:38:57.907452Z","title":"A., and Gamba, I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.09276","last_updated":"2025-09-11T09:07:52Z","snapshot_observed_at":"2026-08-06T08:58:04.874339Z","submitted_at":"2025-09-11T09:07:52Z","title":"Numerical analysis of the homogeneous Landau equation: approximation, error estimates and simulation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T19:38:57.907452Z"},"links":{"cited_paper":"/paper/1910.03110","citing_paper":"/paper/2509.09276"},"observation_digest":"sha256:92e20693980fb586a2fa479628313304cb34997f5e7461797ceef156b1b02976","observation_id":"b87a104e-26a1-4da4-a439-ef2b3562a5f8","resolution":{"observed_at":"2026-08-04T19:38:57.907452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1910.03110/citation-record","integrity":"/paper/1910.03110/integrity","json":"/paper/1910.03110/citation-record.json","paper":"/paper/1910.03110"},"outbound":[],"paper":{"arxiv_id":"1910.03110","last_updated":"2020-09-23T04:45:26Z","latest_version":2,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-07-30T23:46:22.143895Z","submitted_at":"2019-10-07T22:04:26Z","title":"Entropy Decay Rates for Conservative Spectral Schemes Modeling Fokker-Planck-Landau Type Flows in the Mean Field Limit"},"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 2 inbound Pith citation observations for arXiv:1910.03110."}