{"as_of":"2026-08-12T22:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2fe4c208c910a962579a09bd1f4e7ec464ccc39ecdfcc354ab5b73fb2725e444","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":"2026-08-12T06:34:41.77262+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":"2026-08-11T15:34:28.968767Z","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":"2026-08-10T18:55:40.540536Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.05104","last_updated":"2024-09-27T10:17:45Z","snapshot_observed_at":"2026-07-06T19:12:11.032644Z","submitted_at":"2024-09-08T14:17:31Z","title":"On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.05104","snapshot_observed_at":"2026-08-11T15:34:28.968767Z","title":"Huang, Y","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.11005","last_updated":"2024-12-15T00:58:00Z","snapshot_observed_at":"2026-08-12T08:59:37.681056Z","submitted_at":"2024-12-15T00:58:00Z","title":"Stability of the Couette flow for 3D Navier-Stokes equations with rotation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T15:34:28.968767Z"},"links":{"cited_paper":"/paper/2409.05104","citing_paper":"/paper/2412.11005"},"observation_digest":"sha256:20f2f00687285246cdad024255dc082621367728a9b9b04f276fe6118999bcee","observation_id":"007a71ed-a176-48f6-bc20-3abd115f88e1","resolution":{"observed_at":"2026-08-11T15:34:28.968767Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.05104","last_updated":"2024-09-27T10:17:45Z","snapshot_observed_at":"2026-07-06T19:12:11.032644Z","submitted_at":"2024-09-08T14:17:31Z","title":"On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow","version":2},"cited_work":{"arxiv_id":"2409.05104","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.05104","snapshot_observed_at":"2026-08-10T18:55:40.540536Z","title":"On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow","venue":"math.AP","work_id":"2e7bd444-7930-4704-8e38-4950b3416c00","year":2024},"citing_paper":{"arxiv_id":"2608.06899","last_updated":"2026-08-07T07:33:57Z","snapshot_observed_at":"2026-08-12T22:11:16.988926Z","submitted_at":"2026-08-07T07:33:57Z","title":"Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\\beta$-Plane","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T18:55:40.165689Z"},"links":{"cited_paper":"/paper/2409.05104","citing_paper":"/paper/2608.06899"},"observation_digest":"sha256:6d3f493b4d47ebe91f51a0bc5bab3b86095b92b177ef55af48aa23650144579f","observation_id":"275babef-a911-4af3-8f81-3a7ca4b7b8f7","resolution":{"observed_at":"2026-08-10T18:55:40.547503Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2409.05104/citation-record","integrity":"/paper/2409.05104/integrity","json":"/paper/2409.05104/citation-record.json","paper":"/paper/2409.05104"},"outbound":[],"paper":{"arxiv_id":"2409.05104","last_updated":"2024-09-27T10:17:45Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T19:12:11.032644Z","submitted_at":"2024-09-08T14:17:31Z","title":"On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2409.05104."}