{"as_of":"2026-08-19T21:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:90fa851e7fa1a4e4ebf735dfd6959c4ea64f7691ddedae7989fd6c4aabcc3dfe","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":"2026-08-19T06:32:44.657259+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":"2026-08-03T14:41:59.022767Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"0903.4287","last_updated":"2009-03-25T10:09:44Z","snapshot_observed_at":"2026-08-15T05:52:12.518677Z","submitted_at":"2009-03-25T10:09:44Z","title":"Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0903.4287","snapshot_observed_at":"2026-08-03T14:41:59.022767Z","title":"Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.19840","last_updated":"2026-06-25T19:53:31Z","snapshot_observed_at":"2026-08-18T19:39:36.860129Z","submitted_at":"2025-12-22T19:49:22Z","title":"Quantum Mechanics on Lie Groups: I. Noncommutative Fourier Transforms","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T14:41:59.022767Z"},"links":{"cited_paper":"/paper/0903.4287","citing_paper":"/paper/2512.19840"},"observation_digest":"sha256:31991df5cb3fa9ee1e07e6318646d4bb3a9f9bcb3f9dee9f093f99e81bb5a922","observation_id":"ea0df583-5476-4993-a758-e894055f2c38","resolution":{"observed_at":"2026-08-03T14:41:59.022767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0903.4287","last_updated":"2009-03-25T10:09:44Z","snapshot_observed_at":"2026-08-15T05:52:12.518677Z","submitted_at":"2009-03-25T10:09:44Z","title":"Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0903.4287","snapshot_observed_at":"2026-08-01T21:40:02.040856Z","title":"Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.16029","last_updated":"2026-07-17T15:01:45Z","snapshot_observed_at":"2026-08-18T16:52:20.526757Z","submitted_at":"2026-07-17T15:01:45Z","title":"Quantum Mechanics on Lie Groups: II. Path Integrals","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T21:40:02.040856Z"},"links":{"cited_paper":"/paper/0903.4287","citing_paper":"/paper/2607.16029"},"observation_digest":"sha256:49bf10d3d088cc7c40e5c4038ee5a6542b6763192eefb5874bb59d973383139f","observation_id":"a0303b9d-2242-4249-812d-1cbbcf3f62dc","resolution":{"observed_at":"2026-08-01T21:40:02.040856Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/0903.4287/citation-record","integrity":"/paper/0903.4287/integrity","json":"/paper/0903.4287/citation-record.json","paper":"/paper/0903.4287"},"outbound":[],"paper":{"arxiv_id":"0903.4287","last_updated":"2009-03-25T10:09:44Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-15T05:52:12.518677Z","submitted_at":"2009-03-25T10:09:44Z","title":"Reduced Lagrangian and Hamiltonian formulations of Euler-Yang-Mills fluids"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:0903.4287."}