{"as_of":"2026-08-11T03:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d818daaded17a6ec4a4d4a6f7880997c35d433b011ec2809007ce944a094cb7e","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T13:48:49.293319Z","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":"2026-08-08T13:48:49.548249Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2112.04307","last_updated":"2021-12-08T14:37:22Z","snapshot_observed_at":"2026-07-06T12:16:33.912630Z","submitted_at":"2021-12-08T14:37:22Z","title":"Physics-informed dynamic mode decomposition (piDMD)","version":1},"cited_work":{"arxiv_id":"2112.04307","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.04307","snapshot_observed_at":"2026-08-08T13:48:49.548249Z","title":"Physics-informed dynamic mode decomposition (piDMD)","venue":"math.DS","work_id":"a5564b14-bc89-48f7-80bc-dd29e792d2c9","year":2021},"citing_paper":{"arxiv_id":"2502.07129","last_updated":"2025-02-10T23:48:10Z","snapshot_observed_at":"2026-08-10T16:02:13.095507Z","submitted_at":"2025-02-10T23:48:10Z","title":"Fourier-enhanced Neural Networks For Systems Biology Applications","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-08T13:48:49.293319Z"},"links":{"cited_paper":"/paper/2112.04307","citing_paper":"/paper/2502.07129"},"observation_digest":"sha256:37926c288515a20d55c82acf5f2cfd15731206e070998b36692c820cc7bf3776","observation_id":"66d127a0-b4f2-46c3-b413-5d2eb89a5ce2","resolution":{"observed_at":"2026-08-08T13:48:49.553327Z","resolver_source":"local_arxiv","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/2112.04307/citation-record","integrity":"/paper/2112.04307/integrity","json":"/paper/2112.04307/citation-record.json","paper":"/paper/2112.04307"},"outbound":[],"paper":{"arxiv_id":"2112.04307","last_updated":"2021-12-08T14:37:22Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-07-06T12:16:33.912630Z","submitted_at":"2021-12-08T14:37:22Z","title":"Physics-informed dynamic mode decomposition (piDMD)"},"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 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2112.04307."}