{"as_of":"2026-08-08T15:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ab42b5931732eab455f8e77d661b99a6def3f292c5af34c018c8405436a6bbeb","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T10:46:52.494062Z","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":"2026-07-09T07:56:04.764359Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.05973","last_updated":"2024-12-13T10:21:42Z","snapshot_observed_at":"2026-07-06T20:03:29.510169Z","submitted_at":"2024-12-08T15:44:07Z","title":"Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.05973","snapshot_observed_at":"2026-08-07T10:46:52.494062Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.05034","last_updated":"2025-06-05T13:40:36Z","snapshot_observed_at":"2026-08-07T10:24:45.950341Z","submitted_at":"2025-06-05T13:40:36Z","title":"Remarks on radial symmetry of stationary and uniformly-rotating solutions for the 2D Euler equation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T10:46:52.494062Z"},"links":{"cited_paper":"/paper/2412.05973","citing_paper":"/paper/2506.05034"},"observation_digest":"sha256:d48c3443353541623d9a948051200d765043751aa34d21f85fed768ea39bee35","observation_id":"3224ef73-c6db-4684-ba69-6ee0f206a909","resolution":{"observed_at":"2026-08-07T10:46:52.494062Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.05973","last_updated":"2024-12-13T10:21:42Z","snapshot_observed_at":"2026-07-06T20:03:29.510169Z","submitted_at":"2024-12-08T15:44:07Z","title":"Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc","version":2},"cited_work":{"arxiv_id":"2412.05973","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.05973","snapshot_observed_at":"2026-07-09T07:56:04.764359Z","title":"Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc","venue":"math.AP","work_id":"900ffada-892b-4bcb-9567-6441775c845c","year":2024},"citing_paper":{"arxiv_id":"2607.07541","last_updated":"2026-07-08T15:39:51Z","snapshot_observed_at":"2026-08-06T10:05:19.363527Z","submitted_at":"2026-07-08T15:39:51Z","title":"On stationary Quasi-Geostrophic Shallow-Water flows","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-09T07:48:35.443838Z"},"links":{"cited_paper":"/paper/2412.05973","citing_paper":"/paper/2607.07541"},"observation_digest":"sha256:6d906caf4666f786ee7495c75a55cbe8a9592954131e2e09fe9d191a110a8f29","observation_id":"8e1c588c-508e-4df7-a0cd-d813378975a3","resolution":{"observed_at":"2026-07-09T07:56:04.765507Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.05973/citation-record","integrity":"/paper/2412.05973/integrity","json":"/paper/2412.05973/citation-record.json","paper":"/paper/2412.05973"},"outbound":[],"paper":{"arxiv_id":"2412.05973","last_updated":"2024-12-13T10:21:42Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T20:03:29.510169Z","submitted_at":"2024-12-08T15:44:07Z","title":"Radial symmetry of stationary and uniformly-rotating solutions to the 2D Euler equation in a disc"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.05973."}