{"as_of":"2026-08-13T05:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1607fead80f230fe32d109868b5523d5f62f619b8ba6c1873ea426e26a579846","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":"2026-08-10T22:50:00.528519Z","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":"2026-08-07T14:14:55.541951Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.00496","last_updated":"2023-09-01T14:40:52Z","snapshot_observed_at":"2026-08-04T04:41:11.993188Z","submitted_at":"2023-09-01T14:40:52Z","title":"On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.00496","snapshot_observed_at":"2026-08-10T22:50:00.528519Z","title":"Knobel and C","venue":null,"work_id":null,"year":2023},"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":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:50:00.528519Z"},"links":{"cited_paper":"/paper/2309.00496","citing_paper":"/paper/2501.00690"},"observation_digest":"sha256:88389ad81bc6766c7659c91553adb4695e9b7771bdd68f134296bad241ed964b","observation_id":"00973f16-61ad-4d51-9cc8-12dfe3d948cd","resolution":{"observed_at":"2026-08-10T22:50:00.528519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.00496","last_updated":"2023-09-01T14:40:52Z","snapshot_observed_at":"2026-08-04T04:41:11.993188Z","submitted_at":"2023-09-01T14:40:52Z","title":"On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation","version":1},"cited_work":{"arxiv_id":"2309.00496","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.00496","snapshot_observed_at":"2026-08-07T14:14:55.541951Z","title":"On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation","venue":"math.AP","work_id":"8db56c1d-4c36-4b45-b8ee-634a637f3a3b","year":2023},"citing_paper":{"arxiv_id":"2505.19822","last_updated":"2025-09-10T15:34:13Z","snapshot_observed_at":"2026-08-07T14:03:22.192855Z","submitted_at":"2025-05-26T11:00:11Z","title":"The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T14:14:53.407540Z"},"links":{"cited_paper":"/paper/2309.00496","citing_paper":"/paper/2505.19822"},"observation_digest":"sha256:5b2d2b75f393e2e8750d34cfb76ea01c1b6b53b0879fa64380297fa34c39f95f","observation_id":"88fd4e1c-0722-459c-89d0-47aa3ba3c857","resolution":{"observed_at":"2026-08-07T14:14:55.574391Z","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/2309.00496/citation-record","integrity":"/paper/2309.00496/integrity","json":"/paper/2309.00496/citation-record.json","paper":"/paper/2309.00496"},"outbound":[],"paper":{"arxiv_id":"2309.00496","last_updated":"2023-09-01T14:40:52Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-04T04:41:11.993188Z","submitted_at":"2023-09-01T14:40:52Z","title":"On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation"},"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 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2309.00496."}