{"as_of":"2026-08-21T11:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:70031414e7b493a55832633a4b2d3232b73e3b9207c3768c9fb1cb24f2be2ace","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":"2026-08-21T06:32:19.484+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":"2026-08-15T18:49:09.791089Z","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":"2026-05-11T19:46:11.565273Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2102.08644","last_updated":"2021-02-17T09:22:00Z","snapshot_observed_at":"2026-08-21T06:24:52.775127Z","submitted_at":"2021-02-17T09:22:00Z","title":"A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.08644","snapshot_observed_at":"2026-08-15T18:49:09.791089Z","title":"de Lara, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.19025","last_updated":"2025-06-23T18:28:48Z","snapshot_observed_at":"2026-08-17T16:14:06.098573Z","submitted_at":"2025-06-23T18:28:48Z","title":"Statistical Inference for Optimal Transport Maps: Recent Advances and Perspectives","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-15T18:49:09.791089Z"},"links":{"cited_paper":"/paper/2102.08644","citing_paper":"/paper/2506.19025"},"observation_digest":"sha256:1bfec654bbc7b8e4180b1c05b6d1d0f1aa2ef7997c363d200fc69e2f69e5c7c1","observation_id":"6d526905-6431-4414-9231-795f31d86b4e","resolution":{"observed_at":"2026-08-15T18:49:09.791089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2102.08644","last_updated":"2021-02-17T09:22:00Z","snapshot_observed_at":"2026-08-21T06:24:52.775127Z","submitted_at":"2021-02-17T09:22:00Z","title":"A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications","version":1},"cited_work":{"arxiv_id":"2102.08644","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2102.08644","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"171f8ac0-2cdd-4d0c-a67f-2f261d26e93b","year":2021},"citing_paper":{"arxiv_id":"2604.22366","last_updated":"2026-04-24T08:58:56Z","snapshot_observed_at":"2026-08-14T02:14:33.975066Z","submitted_at":"2026-04-24T08:58:56Z","title":"Statistical Estimation of Monge Transport Maps via Brenier Potentials","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-05-08T11:03:44.263884Z"},"links":{"cited_paper":"/paper/2102.08644","citing_paper":"/paper/2604.22366"},"observation_digest":"sha256:0259ff89bc6ab6e53c4907bf7da9e85e295d7b858ae00064f7ea5b79384fa74c","observation_id":"7569a57c-c2f4-4245-ab25-853c2049f1b1","resolution":{"observed_at":"2026-05-11T19:46:11.567659Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2102.08644/citation-record","integrity":"/paper/2102.08644/integrity","json":"/paper/2102.08644/citation-record.json","paper":"/paper/2102.08644"},"outbound":[],"paper":{"arxiv_id":"2102.08644","last_updated":"2021-02-17T09:22:00Z","latest_version":1,"primary_category":"math.ST","snapshot_observed_at":"2026-08-21T06:24:52.775127Z","submitted_at":"2021-02-17T09:22:00Z","title":"A Consistent Extension of Discrete Optimal Transport Maps for Machine Learning Applications"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2102.08644."}