{"as_of":"2026-08-10T08:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fe2512e46b10de9b40471f53a5b4b31a6e13db40ef2e6af7ad63cd469573cc88","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":"2026-08-10T06:31:04.303077+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":"2026-08-06T15:11:46.618725Z","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":"2026-05-19T17:37:41.377061Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.02244","last_updated":"2022-09-06T06:37:54Z","snapshot_observed_at":"2026-07-06T13:49:11.933466Z","submitted_at":"2022-09-06T06:37:54Z","title":"The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.02244","snapshot_observed_at":"2026-08-06T15:11:46.618725Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.16915","last_updated":"2025-07-22T18:01:05Z","snapshot_observed_at":"2026-08-08T19:56:29.401222Z","submitted_at":"2025-07-22T18:01:05Z","title":"Avoiding spectral pollution for transfer operators using residuals","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:11:46.618725Z"},"links":{"cited_paper":"/paper/2209.02244","citing_paper":"/paper/2507.16915"},"observation_digest":"sha256:1a92a9121cba703f828fccb45202062d4a59c5a8c0d2bdb05cc04dbaefebc264","observation_id":"858b705d-04df-47b2-b964-cb5d967505dc","resolution":{"observed_at":"2026-08-06T15:11:46.618725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.02244","last_updated":"2022-09-06T06:37:54Z","snapshot_observed_at":"2026-07-06T13:49:11.933466Z","submitted_at":"2022-09-06T06:37:54Z","title":"The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems","version":1},"cited_work":{"arxiv_id":"2209.02244","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.02244","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems","venue":null,"work_id":"e89831ce-a7a7-4dc6-8c62-5b72ffe99338","year":2022},"citing_paper":{"arxiv_id":"2605.15234","last_updated":"2026-05-13T18:25:15Z","snapshot_observed_at":"2026-07-06T23:26:32.979566Z","submitted_at":"2026-05-13T18:25:15Z","title":"Sampling pseudospectrum for data-driven matrices","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-19T17:37:09.764378Z"},"links":{"cited_paper":"/paper/2209.02244","citing_paper":"/paper/2605.15234"},"observation_digest":"sha256:5a12414e0dc802742fc4f2af5798f496d6bb32c6ae115dd036c1cfb5a06e54e4","observation_id":"c51727a1-450c-4d4f-87e3-d8d42d7cee7c","resolution":{"observed_at":"2026-05-19T17:37:41.378816Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2209.02244/citation-record","integrity":"/paper/2209.02244/integrity","json":"/paper/2209.02244/citation-record.json","paper":"/paper/2209.02244"},"outbound":[],"paper":{"arxiv_id":"2209.02244","last_updated":"2022-09-06T06:37:54Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-07-06T13:49:11.933466Z","submitted_at":"2022-09-06T06:37:54Z","title":"The mpEDMD Algorithm for Data-Driven Computations of Measure-Preserving Dynamical Systems"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2209.02244."}