{"as_of":"2026-08-18T17:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:96a046e150406301a9015eb2c07f9b217f5d3abc0cbbee97c9559117c6b41876","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":"2026-08-18T06:34:40.430872+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":"2026-08-16T11:10:41.458377Z","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":"2026-08-10T22:50:00.842431Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.09219","last_updated":"2024-11-29T00:19:32Z","snapshot_observed_at":"2026-08-16T13:18:40.018769Z","submitted_at":"2024-09-13T22:13:48Z","title":"Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces","version":2},"cited_work":{"arxiv_id":"2409.09219","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.09219","snapshot_observed_at":"2026-08-10T22:50:00.842431Z","title":"Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces","venue":"math.AP","work_id":"16b1016c-2d27-4d7e-9673-3863019a00ff","year":2024},"citing_paper":{"arxiv_id":"2501.00690","last_updated":"2025-03-10T17:41:02Z","snapshot_observed_at":"2026-08-11T12:48:35.712184Z","submitted_at":"2025-01-01T00:57:34Z","title":"Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:50:00.486861Z"},"links":{"cited_paper":"/paper/2409.09219","citing_paper":"/paper/2501.00690"},"observation_digest":"sha256:938bff8448cf328dff9aab56b30f28b025d1ffb8c91240172fb3e1d9d9c742de","observation_id":"72d62d26-62fb-45b4-a5b4-53e9b0c78164","resolution":{"observed_at":"2026-08-10T22:50:00.848491Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.09219","last_updated":"2024-11-29T00:19:32Z","snapshot_observed_at":"2026-08-16T13:18:40.018769Z","submitted_at":"2024-09-13T22:13:48Z","title":"Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.09219","snapshot_observed_at":"2026-08-16T11:10:41.458377Z","title":"and He S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.16401","last_updated":"2025-04-23T04:09:55Z","snapshot_observed_at":"2026-08-16T11:02:07.828141Z","submitted_at":"2025-04-23T04:09:55Z","title":"Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T11:10:41.458377Z"},"links":{"cited_paper":"/paper/2409.09219","citing_paper":"/paper/2504.16401"},"observation_digest":"sha256:cfb9d55edb93b788619a057907b139bcd0a8a7b78941316742f645f8a756d5b1","observation_id":"07e06d1f-659b-441b-94ae-73b9d8806f4f","resolution":{"observed_at":"2026-08-16T11:10:41.458377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2409.09219/citation-record","integrity":"/paper/2409.09219/integrity","json":"/paper/2409.09219/citation-record.json","paper":"/paper/2409.09219"},"outbound":[],"paper":{"arxiv_id":"2409.09219","last_updated":"2024-11-29T00:19:32Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T13:18:40.018769Z","submitted_at":"2024-09-13T22:13:48Z","title":"Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2409.09219."}