{"as_of":"2026-08-09T06:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:36725431cc4cbbb160aa40d14dd17bec24c5d14e00f0b9d8d008bbc2f772f479","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T21:04:57.878238Z","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":"2026-05-11T21:31:13.567162Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2405.13780","last_updated":"2025-03-31T16:05:23Z","snapshot_observed_at":"2026-08-09T06:11:08.661537Z","submitted_at":"2024-05-22T16:08:00Z","title":"Weak uniqueness for singular stochastic equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.13780","snapshot_observed_at":"2026-08-07T01:20:51.836192Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.11900","last_updated":"2025-06-13T15:51:53Z","snapshot_observed_at":"2026-08-09T04:38:39.891942Z","submitted_at":"2025-06-13T15:51:53Z","title":"On the density of singular SDEs with fractional noise and applications to McKean-Vlasov equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T01:20:51.836192Z"},"links":{"cited_paper":"/paper/2405.13780","citing_paper":"/paper/2506.11900"},"observation_digest":"sha256:ced0992b511e426fc82772f66b3e2337cbc3a2142a6982c53ab51df0c2a00083","observation_id":"9a8b85a3-c9b5-4cad-8376-b713d566cf65","resolution":{"observed_at":"2026-08-07T01:20:51.836192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.13780","last_updated":"2025-03-31T16:05:23Z","snapshot_observed_at":"2026-08-09T06:11:08.661537Z","submitted_at":"2024-05-22T16:08:00Z","title":"Weak uniqueness for singular stochastic equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.13780","snapshot_observed_at":"2026-08-05T05:41:47.949927Z","title":"Butkovsky and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.05286","last_updated":"2025-09-05T17:54:39Z","snapshot_observed_at":"2026-08-08T08:22:31.399914Z","submitted_at":"2025-09-05T17:54:39Z","title":"Construction of the 1d Self-repelling Brownian Polymer","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T05:41:47.949927Z"},"links":{"cited_paper":"/paper/2405.13780","citing_paper":"/paper/2509.05286"},"observation_digest":"sha256:c5dd86611cdc3e1cf256999484c39684f031cf9929076695f748682bfcbd66a9","observation_id":"5e2e25f1-a073-4fa3-a043-2b840caa456d","resolution":{"observed_at":"2026-08-05T05:41:47.949927Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.13780","last_updated":"2025-03-31T16:05:23Z","snapshot_observed_at":"2026-08-09T06:11:08.661537Z","submitted_at":"2024-05-22T16:08:00Z","title":"Weak uniqueness for singular stochastic equations","version":2},"cited_work":{"arxiv_id":"2405.13780","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2405.13780","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Weak uniqueness for singular stochastic equations, March 2025","venue":null,"work_id":"17fe1e35-22b6-4643-bf34-0014cbb03121","year":2025},"citing_paper":{"arxiv_id":"2604.23883","last_updated":"2026-04-26T20:54:35Z","snapshot_observed_at":"2026-07-06T23:10:02.659384Z","submitted_at":"2026-04-26T20:54:35Z","title":"Sharp pathwise nonuniqueness for additive SDEs","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-08T05:24:06.221522Z"},"links":{"cited_paper":"/paper/2405.13780","citing_paper":"/paper/2604.23883"},"observation_digest":"sha256:71ad0d362c11499f20b80198625006cb82e91e6895b51e7d5bb54a2b004befec","observation_id":"602ffd0d-ce39-43b1-8484-0bc7a89ce2f7","resolution":{"observed_at":"2026-05-11T21:31:13.572689Z","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":"2405.13780","last_updated":"2025-03-31T16:05:23Z","snapshot_observed_at":"2026-08-09T06:11:08.661537Z","submitted_at":"2024-05-22T16:08:00Z","title":"Weak uniqueness for singular stochastic equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.13780","snapshot_observed_at":"2026-08-07T21:04:57.878238Z","title":"Weak uniqueness for singular stochastic equations, March 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.05931","last_updated":"2026-08-06T12:01:11Z","snapshot_observed_at":"2026-08-09T06:13:15.258907Z","submitted_at":"2026-08-06T12:01:11Z","title":"Effective Lagrangian regularity and the uniqueness threshold for random H\\\"older velocity fields","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T21:04:57.878238Z"},"links":{"cited_paper":"/paper/2405.13780","citing_paper":"/paper/2608.05931"},"observation_digest":"sha256:84e995b2b19078b340ffa022d97b66e274c928b5f28f7877133bd77c7cd86353","observation_id":"e7758868-0327-4b35-a5d8-58176592c893","resolution":{"observed_at":"2026-08-07T21:04:57.878238Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2405.13780/citation-record","integrity":"/paper/2405.13780/integrity","json":"/paper/2405.13780/citation-record.json","paper":"/paper/2405.13780"},"outbound":[],"paper":{"arxiv_id":"2405.13780","last_updated":"2025-03-31T16:05:23Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-09T06:11:08.661537Z","submitted_at":"2024-05-22T16:08:00Z","title":"Weak uniqueness for singular stochastic equations"},"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 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2405.13780."}