{"as_of":"2026-08-15T01:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b33a4dbfae1818ae5691dc7017f742928e141bc0b7891e3f0c5eb3fa2b1bd204","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":"2026-08-14T06:32:32.682623+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":"2026-08-11T13:14:05.291344Z","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":"2026-07-03T11:38:04.720450Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.00369","last_updated":"2024-10-01T03:42:35Z","snapshot_observed_at":"2026-08-12T22:33:45.088249Z","submitted_at":"2024-10-01T03:42:35Z","title":"Inverse problems for time-dependent nonlinear transport equations","version":1},"cited_work":{"arxiv_id":"2410.00369","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.00369","snapshot_observed_at":"2026-07-03T11:38:04.720450Z","title":"Lai and L","venue":null,"work_id":"4e4a2361-6fb9-464c-aee8-affb6a7320e7","year":2024},"citing_paper":{"arxiv_id":"2509.06183","last_updated":"2026-04-18T17:23:52Z","snapshot_observed_at":"2026-08-07T11:13:25.258740Z","submitted_at":"2025-09-07T19:16:40Z","title":"Forward and inverse problems of a semilinear transport equation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-18T17:58:37.529864Z"},"links":{"cited_paper":"/paper/2410.00369","citing_paper":"/paper/2509.06183"},"observation_digest":"sha256:c7a25b470484c8ba1c739e8da0e4fa978d00baf0fd89e3679b4cfb2fcf8f23e2","observation_id":"f6633fd7-88b2-4755-8817-92b00cd2349d","resolution":{"observed_at":"2026-05-18T18:01:43.797189Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.00369","last_updated":"2024-10-01T03:42:35Z","snapshot_observed_at":"2026-08-12T22:33:45.088249Z","submitted_at":"2024-10-01T03:42:35Z","title":"Inverse problems for time-dependent nonlinear transport equations","version":1},"cited_work":{"arxiv_id":"2410.00369","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.00369","snapshot_observed_at":"2026-07-03T11:38:04.720450Z","title":"Lai and L","venue":null,"work_id":"4e4a2361-6fb9-464c-aee8-affb6a7320e7","year":2024},"citing_paper":{"arxiv_id":"2606.11554","last_updated":"2026-06-10T01:24:52Z","snapshot_observed_at":"2026-08-02T18:07:49.989565Z","submitted_at":"2026-06-10T01:24:52Z","title":"Recovering the initial condition and physical coefficients in a nonlinear PDE model of cell invasion","version":1},"reference_index":136,"source":"arxiv_source","source_observed_at":"2026-06-27T09:29:37.336541Z"},"links":{"cited_paper":"/paper/2410.00369","citing_paper":"/paper/2606.11554"},"observation_digest":"sha256:f9c4b4410fcda0e9cebab332477cdaa5a3b212b30718a60af8906dac635c78ba","observation_id":"4abbc65b-9d73-48a9-9bf4-24a97e8cbfd9","resolution":{"observed_at":"2026-07-03T11:38:04.722625Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.00369","last_updated":"2024-10-01T03:42:35Z","snapshot_observed_at":"2026-08-12T22:33:45.088249Z","submitted_at":"2024-10-01T03:42:35Z","title":"Inverse problems for time-dependent nonlinear transport equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.00369","snapshot_observed_at":"2026-07-12T06:45:39.915814Z","title":"Lai and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.02831","last_updated":"2026-07-02T23:51:28Z","snapshot_observed_at":"2026-08-15T01:37:00.336389Z","submitted_at":"2026-07-02T23:51:28Z","title":"The BGK model with in-flow boundary condition: forward and inverse problems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-12T06:45:39.915814Z"},"links":{"cited_paper":"/paper/2410.00369","citing_paper":"/paper/2607.02831"},"observation_digest":"sha256:47fa59087efcc364e22b78c69ff8d5891f653c1584992b6043271918fee7651e","observation_id":"92286e09-fe07-49b5-8400-e97c340c380a","resolution":{"observed_at":"2026-07-12T06:45:39.915814Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.00369","last_updated":"2024-10-01T03:42:35Z","snapshot_observed_at":"2026-08-12T22:33:45.088249Z","submitted_at":"2024-10-01T03:42:35Z","title":"Inverse problems for time-dependent nonlinear transport equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.00369","snapshot_observed_at":"2026-08-11T13:14:05.291344Z","title":"Lai and H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.09665","last_updated":"2026-08-10T14:42:06Z","snapshot_observed_at":"2026-08-13T23:46:04.287362Z","submitted_at":"2026-08-10T14:42:06Z","title":"Carleman--Picard and time-dimensional reduction for inverse initial-data problems in nonlinear transport with memory","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T13:14:05.291344Z"},"links":{"cited_paper":"/paper/2410.00369","citing_paper":"/paper/2608.09665"},"observation_digest":"sha256:99fed26db88318ce1eaadf3b39a6f2779377fcd01caa32fbfd04c106cf470aa8","observation_id":"d5a73471-43af-4bca-af75-ac06cb2bbc5d","resolution":{"observed_at":"2026-08-11T13:14:05.291344Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2410.00369/citation-record","integrity":"/paper/2410.00369/integrity","json":"/paper/2410.00369/citation-record.json","paper":"/paper/2410.00369"},"outbound":[],"paper":{"arxiv_id":"2410.00369","last_updated":"2024-10-01T03:42:35Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-12T22:33:45.088249Z","submitted_at":"2024-10-01T03:42:35Z","title":"Inverse problems for time-dependent nonlinear transport equations"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2410.00369."}