{"as_of":"2026-08-18T19:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ae8a3295524810e27a8e3f86c43b4ae985ae6008345c15137202418e3bd4a4e6","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":"2026-08-16T11:10:36.578614Z","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":"2026-07-01T11:35:43.519026Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2001.03660","last_updated":"2020-01-30T17:20:59Z","snapshot_observed_at":"2026-08-18T18:25:34.425954Z","submitted_at":"2020-01-10T20:43:49Z","title":"On stochastic It\\^o processes with drift in $L_{d}$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.03660","snapshot_observed_at":"2026-08-16T11:10:36.578614Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2504.16687","last_updated":"2025-04-30T11:01:32Z","snapshot_observed_at":"2026-08-18T00:47:32.093046Z","submitted_at":"2025-04-23T13:16:04Z","title":"Non-uniqueness of (Stochastic) Lagrangian Trajectories for Euler Equations","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T11:10:36.578614Z"},"links":{"cited_paper":"/paper/2001.03660","citing_paper":"/paper/2504.16687"},"observation_digest":"sha256:304f2742c5671b7d60b87c494c2b65e94abb30f338c0d59ff279031b1216a4f2","observation_id":"7319a466-e28f-4a9b-9d6b-7b1f8e792d32","resolution":{"observed_at":"2026-08-16T11:10:36.578614Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.03660","last_updated":"2020-01-30T17:20:59Z","snapshot_observed_at":"2026-08-18T18:25:34.425954Z","submitted_at":"2020-01-10T20:43:49Z","title":"On stochastic It\\^o processes with drift in $L_{d}$","version":2},"cited_work":{"arxiv_id":"2001.03660","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2001.03660","snapshot_observed_at":"2026-07-01T11:35:43.519026Z","title":null,"venue":null,"work_id":"c8da6bbb-46a1-46e3-9d4c-a1135cccfaa9","year":2001},"citing_paper":{"arxiv_id":"2606.31500","last_updated":"2026-06-30T11:20:46Z","snapshot_observed_at":"2026-08-16T23:50:51.866280Z","submitted_at":"2026-06-30T11:20:46Z","title":"Non-Uniqueness for Nonlinear Fokker--Planck Equations and Their Associated Distribution-Dependent SDEs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-01T04:15:55.096633Z"},"links":{"cited_paper":"/paper/2001.03660","citing_paper":"/paper/2606.31500"},"observation_digest":"sha256:106b6d76a22be8b6f26af80f0e8e5855c3b63ffef8e8464d749df001eccddbe2","observation_id":"1050ad85-ae55-4575-af29-b8afa0217e1b","resolution":{"observed_at":"2026-07-01T11:35:43.521072Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2001.03660/citation-record","integrity":"/paper/2001.03660/integrity","json":"/paper/2001.03660/citation-record.json","paper":"/paper/2001.03660"},"outbound":[],"paper":{"arxiv_id":"2001.03660","last_updated":"2020-01-30T17:20:59Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-18T18:25:34.425954Z","submitted_at":"2020-01-10T20:43:49Z","title":"On stochastic It\\^o processes with drift in $L_{d}$"},"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:2001.03660."}