{"as_of":"2026-08-08T08:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9aa801109e641af4a1023d7cb9a7874ef853e69502b193d6c50f4c57b971cfbe","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:40:58.029199Z","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":"2026-05-21T16:40:22.353080Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.18946","last_updated":"2024-10-24T17:37:29Z","snapshot_observed_at":"2026-07-06T19:39:15.025945Z","submitted_at":"2024-10-24T17:37:29Z","title":"A geometric characterization of steady laminar flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.18946","snapshot_observed_at":"2026-08-07T11:40:58.029199Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02423","last_updated":"2025-06-03T04:13:56Z","snapshot_observed_at":"2026-08-07T11:22:10.939171Z","submitted_at":"2025-06-03T04:13:56Z","title":"Symmetry in Serrin-type overdetermined problems","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T11:40:58.029199Z"},"links":{"cited_paper":"/paper/2410.18946","citing_paper":"/paper/2506.02423"},"observation_digest":"sha256:9499125f00ad873cdcd244ca72ad5deb0b92778ebe8317d9375f0f17d1744a51","observation_id":"2bba8593-1894-4b48-b3a7-20074e2407b7","resolution":{"observed_at":"2026-08-07T11:40:58.029199Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.18946","last_updated":"2024-10-24T17:37:29Z","snapshot_observed_at":"2026-07-06T19:39:15.025945Z","submitted_at":"2024-10-24T17:37:29Z","title":"A geometric characterization of steady laminar flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.18946","snapshot_observed_at":"2026-08-06T17:20:17.424057Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.11837","last_updated":"2025-07-16T01:59:48Z","snapshot_observed_at":"2026-08-06T16:57:53.229191Z","submitted_at":"2025-07-16T01:59:48Z","title":"Least total curvature solutions to steady Euler system and monotone solutions to semilinear equations in a strip","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T17:20:17.424057Z"},"links":{"cited_paper":"/paper/2410.18946","citing_paper":"/paper/2507.11837"},"observation_digest":"sha256:6599299dbc484da9712f886c2d29e0ee0b29d840dea7139da382164296775b02","observation_id":"ac203bd0-2a56-481c-a685-c4d34331252f","resolution":{"observed_at":"2026-08-06T17:20:17.424057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.18946","last_updated":"2024-10-24T17:37:29Z","snapshot_observed_at":"2026-07-06T19:39:15.025945Z","submitted_at":"2024-10-24T17:37:29Z","title":"A geometric characterization of steady laminar flow","version":1},"cited_work":{"arxiv_id":"2410.18946","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.18946","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A geometric characterization of steady laminar flow","venue":null,"work_id":"1e3d4d5d-1a80-4bb3-b127-fbae17961d39","year":2024},"citing_paper":{"arxiv_id":"2601.08647","last_updated":"2026-05-20T07:54:31Z","snapshot_observed_at":"2026-07-06T22:41:33.987055Z","submitted_at":"2026-01-13T15:24:25Z","title":"A selection principle for 2D steady Euler flows via the vanishing viscosity limit","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-21T16:37:30.548655Z"},"links":{"cited_paper":"/paper/2410.18946","citing_paper":"/paper/2601.08647"},"observation_digest":"sha256:88e42461098afca8c4175ab4dab7d1d9024f62b56f696df541346334af2e3fb1","observation_id":"32f724a8-8e8b-44fc-b1c5-8333bbb6cebf","resolution":{"observed_at":"2026-05-21T16:40:22.355023Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2410.18946","last_updated":"2024-10-24T17:37:29Z","snapshot_observed_at":"2026-07-06T19:39:15.025945Z","submitted_at":"2024-10-24T17:37:29Z","title":"A geometric characterization of steady laminar flow","version":1},"cited_work":{"arxiv_id":"2410.18946","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.18946","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A geometric characterization of steady laminar flow","venue":null,"work_id":"1e3d4d5d-1a80-4bb3-b127-fbae17961d39","year":2024},"citing_paper":{"arxiv_id":"2604.12962","last_updated":"2026-05-10T23:36:28Z","snapshot_observed_at":"2026-07-06T23:01:05.634599Z","submitted_at":"2026-04-14T16:56:42Z","title":"On the flexibility of 2D Euler steady states","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T14:29:47.441407Z"},"links":{"cited_paper":"/paper/2410.18946","citing_paper":"/paper/2604.12962"},"observation_digest":"sha256:3589f04274bfbaeefa403cdb0d882318e2b778f75f12928879d74ac84d4d7021","observation_id":"543c80fa-9bb4-49d4-aa96-706780512fc7","resolution":{"observed_at":"2026-05-10T14:30:30.445703Z","resolver_source":"arxiv_id","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"}},{"citation":{"cited_paper":{"arxiv_id":"2410.18946","last_updated":"2024-10-24T17:37:29Z","snapshot_observed_at":"2026-07-06T19:39:15.025945Z","submitted_at":"2024-10-24T17:37:29Z","title":"A geometric characterization of steady laminar flow","version":1},"cited_work":{"arxiv_id":"2410.18946","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.18946","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"A geometric characterization of steady laminar flow","venue":null,"work_id":"1e3d4d5d-1a80-4bb3-b127-fbae17961d39","year":2024},"citing_paper":{"arxiv_id":"2604.12962","last_updated":"2026-05-10T23:36:28Z","snapshot_observed_at":"2026-07-06T23:01:05.634599Z","submitted_at":"2026-04-14T16:56:42Z","title":"On the flexibility of 2D Euler steady states","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-12T02:04:05.133888Z"},"links":{"cited_paper":"/paper/2410.18946","citing_paper":"/paper/2604.12962"},"observation_digest":"sha256:c88d2d2a77da513ab554e80ec1c0791bbcc4036378b9d308a8f0475cca1602d8","observation_id":"a3a0cca5-16fd-4876-8a1a-80e7272a4220","resolution":{"observed_at":"2026-05-12T02:06:15.076169Z","resolver_source":"arxiv_id","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/2410.18946/citation-record","integrity":"/paper/2410.18946/integrity","json":"/paper/2410.18946/citation-record.json","paper":"/paper/2410.18946"},"outbound":[],"paper":{"arxiv_id":"2410.18946","last_updated":"2024-10-24T17:37:29Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-07-06T19:39:15.025945Z","submitted_at":"2024-10-24T17:37:29Z","title":"A geometric characterization of steady laminar 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":"2026-08-08T06:32:00.761636+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 5 inbound Pith citation observations for arXiv:2410.18946."}