{"as_of":"2026-08-09T10:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6246fb97becc58ce714fedef79355f108900e6fb791274b601c1afa5c6defe65","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T03:31:23.833689Z","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":"2026-07-04T02:19:23.962026Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1902.04037","last_updated":"2021-10-25T13:11:32Z","snapshot_observed_at":"2026-08-08T22:26:51.018800Z","submitted_at":"2019-02-11T18:30:51Z","title":"Variational methods for the kinetic Fokker-Planck equation","version":2},"cited_work":{"arxiv_id":"1902.04037","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1902.04037","snapshot_observed_at":"2026-07-04T02:19:23.962026Z","title":"Armstrong and J","venue":null,"work_id":"f931250f-33ea-448e-a614-7b92bf361b7b","year":1902},"citing_paper":{"arxiv_id":"2606.19198","last_updated":"2026-06-17T15:36:33Z","snapshot_observed_at":"2026-08-03T16:01:59.913693Z","submitted_at":"2026-06-17T15:36:33Z","title":"Well-posedness and trace theory for the Kolmogorov equation on bounded domains","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T19:47:09.194956Z"},"links":{"cited_paper":"/paper/1902.04037","citing_paper":"/paper/2606.19198"},"observation_digest":"sha256:f0e858646c9553bc3b85b782817610020efd3c0ba6638aa42584af3023b429bd","observation_id":"a1993643-aee8-44c8-a5bf-3bcf04af6ae4","resolution":{"observed_at":"2026-07-04T02:19:23.963662Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.04037","last_updated":"2021-10-25T13:11:32Z","snapshot_observed_at":"2026-08-08T22:26:51.018800Z","submitted_at":"2019-02-11T18:30:51Z","title":"Variational methods for the kinetic Fokker-Planck equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.04037","snapshot_observed_at":"2026-08-02T03:31:23.833689Z","title":"6, 1953–2010","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.13953","last_updated":"2026-07-15T15:40:08Z","snapshot_observed_at":"2026-08-08T03:13:24.626446Z","submitted_at":"2026-07-15T15:40:08Z","title":"Log-Sobolev inequalities for boundary-driven anharmonic chains","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T03:31:23.833689Z"},"links":{"cited_paper":"/paper/1902.04037","citing_paper":"/paper/2607.13953"},"observation_digest":"sha256:42f96175be5842f7b3962ada0766a58535ab9d354353f36fca14b43d5dc9227d","observation_id":"d2015cfc-bc55-4a71-90ce-32c6ddec0fb9","resolution":{"observed_at":"2026-08-02T03:31:23.833689Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.04037","last_updated":"2021-10-25T13:11:32Z","snapshot_observed_at":"2026-08-08T22:26:51.018800Z","submitted_at":"2019-02-11T18:30:51Z","title":"Variational methods for the kinetic Fokker-Planck equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.04037","snapshot_observed_at":"2026-07-31T07:25:58.020978Z","title":"Armstrong and J.-C","venue":null,"work_id":null,"year":1902},"citing_paper":{"arxiv_id":"2607.24708","last_updated":"2026-07-27T17:47:42Z","snapshot_observed_at":"2026-08-08T06:32:26.984758Z","submitted_at":"2026-07-27T17:47:42Z","title":"Sharp kinetic trace theory","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-31T07:25:58.020978Z"},"links":{"cited_paper":"/paper/1902.04037","citing_paper":"/paper/2607.24708"},"observation_digest":"sha256:cdee9ad8402ce9673e26487d98552cafec51e198ff638a9ba65cbb814fac82d7","observation_id":"cf8d71ee-adf4-468f-b375-042c502f734b","resolution":{"observed_at":"2026-07-31T07:25:58.020978Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1902.04037/citation-record","integrity":"/paper/1902.04037/integrity","json":"/paper/1902.04037/citation-record.json","paper":"/paper/1902.04037"},"outbound":[],"paper":{"arxiv_id":"1902.04037","last_updated":"2021-10-25T13:11:32Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-08T22:26:51.018800Z","submitted_at":"2019-02-11T18:30:51Z","title":"Variational methods for the kinetic Fokker-Planck equation"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1902.04037."}