{"as_of":"2026-08-09T18:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:af19dcbad49c434802d46e071358cc57dff289401b6704255ff85ca01d4335a6","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":"2026-08-09T06:31:02.800959+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":"2026-08-01T19:47:53.608920Z","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":"2026-05-11T14:36:07.685270Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.16370","last_updated":"2025-08-13T18:55:10Z","snapshot_observed_at":"2026-08-08T14:22:11.133106Z","submitted_at":"2025-02-22T22:13:29Z","title":"Entropic Selection Principle for Monge's Optimal Transport","version":2},"cited_work":{"arxiv_id":"2502.16370","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.16370","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[3]Altschuler, J","venue":null,"work_id":"6b83988b-a468-4695-97e1-3c17126cc505","year":2022},"citing_paper":{"arxiv_id":"2604.15474","last_updated":"2026-04-16T18:48:31Z","snapshot_observed_at":"2026-07-06T23:03:02.938732Z","submitted_at":"2026-04-16T18:48:31Z","title":"Instability of the ray-monotone selector for $W_1$-optimal transport","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T10:11:38.902643Z"},"links":{"cited_paper":"/paper/2502.16370","citing_paper":"/paper/2604.15474"},"observation_digest":"sha256:c79c9dc92c9d9f183ad36df3e7ed1a56db6d00a53ce4cb92c16a69e016025ed4","observation_id":"397cdc78-7862-41ba-b373-af210987f608","resolution":{"observed_at":"2026-05-10T10:14:10.091942Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.16370","last_updated":"2025-08-13T18:55:10Z","snapshot_observed_at":"2026-08-08T14:22:11.133106Z","submitted_at":"2025-02-22T22:13:29Z","title":"Entropic Selection Principle for Monge's Optimal Transport","version":2},"cited_work":{"arxiv_id":"2502.16370","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.16370","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[3]Altschuler, J","venue":null,"work_id":"6b83988b-a468-4695-97e1-3c17126cc505","year":2022},"citing_paper":{"arxiv_id":"2604.20827","last_updated":"2026-04-22T17:53:23Z","snapshot_observed_at":"2026-07-06T23:07:31.559812Z","submitted_at":"2026-04-22T17:53:23Z","title":"Failure of ambient closed-set large-deviation upper bounds in entropic optimal transport","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-09T22:59:29.245460Z"},"links":{"cited_paper":"/paper/2502.16370","citing_paper":"/paper/2604.20827"},"observation_digest":"sha256:4df9f2154494a7fefb85ad84303cb53e48c603aee0d04cc7776b92651a6d173b","observation_id":"572a4dad-3fe2-44a4-93e0-c3afec147fa0","resolution":{"observed_at":"2026-05-09T23:04:18.181705Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.16370","last_updated":"2025-08-13T18:55:10Z","snapshot_observed_at":"2026-08-08T14:22:11.133106Z","submitted_at":"2025-02-22T22:13:29Z","title":"Entropic Selection Principle for Monge's Optimal Transport","version":2},"cited_work":{"arxiv_id":"2502.16370","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.16370","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"[3]Altschuler, J","venue":null,"work_id":"6b83988b-a468-4695-97e1-3c17126cc505","year":2022},"citing_paper":{"arxiv_id":"2604.21578","last_updated":"2026-04-26T13:49:30Z","snapshot_observed_at":"2026-08-06T10:30:54.044497Z","submitted_at":"2026-04-23T11:57:56Z","title":"Entropic regularization of Monge's problem","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-09T21:25:47.383022Z"},"links":{"cited_paper":"/paper/2502.16370","citing_paper":"/paper/2604.21578"},"observation_digest":"sha256:04d13fcf090fcf9597127fbd3ef8bfb744868d4222b1e985c1b9bb1b9794479f","observation_id":"47f73277-71fb-4248-a00e-486e58e555b8","resolution":{"observed_at":"2026-05-11T14:36:07.693981Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.16370","last_updated":"2025-08-13T18:55:10Z","snapshot_observed_at":"2026-08-08T14:22:11.133106Z","submitted_at":"2025-02-22T22:13:29Z","title":"Entropic Selection Principle for Monge's Optimal Transport","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.16370","snapshot_observed_at":"2026-08-01T19:47:53.608920Z","title":"Entropic selection principle for Monge’s optimal transport, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16881","last_updated":"2026-07-18T16:43:29Z","snapshot_observed_at":"2026-08-08T12:35:12.082461Z","submitted_at":"2026-07-18T16:43:29Z","title":"Entropic optimal transport need not select a zero-temperature limit","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T19:47:53.608920Z"},"links":{"cited_paper":"/paper/2502.16370","citing_paper":"/paper/2607.16881"},"observation_digest":"sha256:53581ea3971a4fabafa498d128c5eb5e496bc3f6923a2c8b2fe08aafe8143fb5","observation_id":"81bbd0cc-7071-40b7-9025-b2d17d5f473b","resolution":{"observed_at":"2026-08-01T19:47:53.608920Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2502.16370/citation-record","integrity":"/paper/2502.16370/integrity","json":"/paper/2502.16370/citation-record.json","paper":"/paper/2502.16370"},"outbound":[],"paper":{"arxiv_id":"2502.16370","last_updated":"2025-08-13T18:55:10Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-08T14:22:11.133106Z","submitted_at":"2025-02-22T22:13:29Z","title":"Entropic Selection Principle for Monge's Optimal Transport"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+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:2502.16370."}