{"as_of":"2026-08-10T22:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:68d98c5be48ddda45f373e57dba84fc3bb5288642a9634674ccdaadd5596ab05","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":"2026-05-18T14:33:24.096355Z","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":"2026-05-18T14:36:28.917702Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.01389","last_updated":"2025-04-02T19:58:16Z","snapshot_observed_at":"2026-08-08T16:17:53.036180Z","submitted_at":"2024-11-03T00:51:26Z","title":"Duality of Navier-Stokes to a one-dimensional system","version":6},"cited_work":{"arxiv_id":"2411.01389","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.01389","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Migdal: Duality of Navier-Stokes to a one-dimensional System","venue":null,"work_id":"0d95d4c0-cc00-4705-8595-f4f192b87793","year":2024},"citing_paper":{"arxiv_id":"2509.18992","last_updated":"2026-04-05T11:52:46Z","snapshot_observed_at":"2026-08-08T20:39:22.860072Z","submitted_at":"2025-09-23T13:42:56Z","title":"Some rigorous remarks on Migdal's momentum loop equation","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-18T14:33:24.096355Z"},"links":{"cited_paper":"/paper/2411.01389","citing_paper":"/paper/2509.18992"},"observation_digest":"sha256:dbd7fe10677848600bf5539901a7c65ca457da676c3996b59f413c5778e6527f","observation_id":"d973e248-4537-4206-b5d8-2f2552790661","resolution":{"observed_at":"2026-05-18T14:36:28.921344Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2411.01389","last_updated":"2025-04-02T19:58:16Z","snapshot_observed_at":"2026-08-08T16:17:53.036180Z","submitted_at":"2024-11-03T00:51:26Z","title":"Duality of Navier-Stokes to a one-dimensional system","version":6},"cited_work":{"arxiv_id":"2411.01389","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.01389","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Migdal: Duality of Navier-Stokes to a one-dimensional System","venue":null,"work_id":"0d95d4c0-cc00-4705-8595-f4f192b87793","year":2024},"citing_paper":{"arxiv_id":"2604.19173","last_updated":"2026-04-21T07:38:15Z","snapshot_observed_at":"2026-07-06T23:05:53.378585Z","submitted_at":"2026-04-21T07:38:15Z","title":"Why Does Classical Turbulence Obey an Area Law?","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T02:26:10.070138Z"},"links":{"cited_paper":"/paper/2411.01389","citing_paper":"/paper/2604.19173"},"observation_digest":"sha256:43e3829bb752db67cb71a129bf8f55a3237493ef6826b8c5b1b513536212acaa","observation_id":"0f7b8b7f-0439-4156-91e6-a12bb2e8aa89","resolution":{"observed_at":"2026-05-11T13:01:25.913963Z","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/2411.01389/citation-record","integrity":"/paper/2411.01389/integrity","json":"/paper/2411.01389/citation-record.json","paper":"/paper/2411.01389"},"outbound":[],"paper":{"arxiv_id":"2411.01389","last_updated":"2025-04-02T19:58:16Z","latest_version":6,"primary_category":"math-ph","snapshot_observed_at":"2026-08-08T16:17:53.036180Z","submitted_at":"2024-11-03T00:51:26Z","title":"Duality of Navier-Stokes to a one-dimensional system"},"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:2411.01389."}