{"as_of":"2026-08-11T12:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7452bdf7681f228f2b7695f56e7f7640dbdc327fb59a868b0845dfac5ee42446","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":"2026-08-11T06:34:44.6726+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":"2026-08-07T11:27:01.904661Z","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":"2026-08-07T06:01:42.533382Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.03578","last_updated":"2025-04-04T16:30:24Z","snapshot_observed_at":"2026-08-10T11:07:59.137346Z","submitted_at":"2025-04-04T16:30:24Z","title":"A convex integration scheme for the continuity equation past the Sobolev embedding threshold","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.03578","snapshot_observed_at":"2026-08-07T11:27:01.904661Z","title":"Colombo, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02747","last_updated":"2025-06-03T11:11:01Z","snapshot_observed_at":"2026-08-10T11:07:40.318874Z","submitted_at":"2025-06-03T11:11:01Z","title":"A priori error estimates for the $\\theta$-method for the flow of nonsmooth velocity fields","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T11:27:01.904661Z"},"links":{"cited_paper":"/paper/2504.03578","citing_paper":"/paper/2506.02747"},"observation_digest":"sha256:7d2b9456d15b5261bdd03be09be4c49ac7f14c1668e483a9677bacbb54818560","observation_id":"24c4c416-3825-44f9-bdbf-70cbfe34cd50","resolution":{"observed_at":"2026-08-07T11:27:01.904661Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.03578","last_updated":"2025-04-04T16:30:24Z","snapshot_observed_at":"2026-08-10T11:07:59.137346Z","submitted_at":"2025-04-04T16:30:24Z","title":"A convex integration scheme for the continuity equation past the Sobolev embedding threshold","version":1},"cited_work":{"arxiv_id":"2504.03578","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.03578","snapshot_observed_at":"2026-08-07T06:01:42.533382Z","title":"A convex integration scheme for the continuity equation past the Sobolev embedding threshold","venue":"math.AP","work_id":"9c0478ce-69be-4a40-9b6f-3909b7d5a54f","year":2025},"citing_paper":{"arxiv_id":"2506.06947","last_updated":"2025-06-23T07:50:22Z","snapshot_observed_at":"2026-08-10T00:22:56.770830Z","submitted_at":"2025-06-07T23:00:33Z","title":"Zero-noise selection and Large Deviations in $L^\\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions","version":2},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-07T06:01:42.169043Z"},"links":{"cited_paper":"/paper/2504.03578","citing_paper":"/paper/2506.06947"},"observation_digest":"sha256:e30e09f4e6758d0403f3b80fabdb993590336ea842df10b14e0d5ef35c93dd61","observation_id":"256b6874-c9b3-4062-8b8e-f2584a4f73a5","resolution":{"observed_at":"2026-08-07T06:01:42.539036Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2504.03578/citation-record","integrity":"/paper/2504.03578/integrity","json":"/paper/2504.03578/citation-record.json","paper":"/paper/2504.03578"},"outbound":[],"paper":{"arxiv_id":"2504.03578","last_updated":"2025-04-04T16:30:24Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-10T11:07:59.137346Z","submitted_at":"2025-04-04T16:30:24Z","title":"A convex integration scheme for the continuity equation past the Sobolev embedding threshold"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2504.03578."}