{"as_of":"2026-08-08T23:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:72ded7131aab335900632ab30dfc31980f170f6b694c822d5a4ea7f5a437e81b","coverage":[{"denominator":2,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T18:15:36.134748Z","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":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2603.15384/citation-record","integrity":"/paper/2603.15384/integrity","json":"/paper/2603.15384/citation-record.json","paper":"/paper/2603.15384"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2006.16824","last_updated":"2025-07-10T07:26:30Z","snapshot_observed_at":"2026-07-06T09:34:05.468702Z","submitted_at":"2020-06-30T14:01:05Z","title":"Wasserstein Stability for Persistence Diagrams","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.16824","snapshot_observed_at":"2026-08-02T18:15:36.134748Z","title":"Theodore Papamarkou, Tolga Birdal, Michael M Bronstein, Gunnar E Carlsson, Justin Curry, Yue Gao, Mustafa Hajij, Roland Kwitt, Pietro Lio, Paolo Di Lorenzo, et al","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.15384","last_updated":"2026-07-29T11:46:09Z","snapshot_observed_at":"2026-08-02T18:15:32.760306Z","submitted_at":"2026-03-16T14:58:32Z","title":"Persistence Spheres: a Bi-continuous Linear Representation of Measures for Partial Optimal Transport","version":2},"reference_index":209,"source":"pdf_text","source_observed_at":"2026-08-02T18:15:36.134748Z"},"links":{"cited_paper":"/paper/2006.16824","citing_paper":"/paper/2603.15384"},"observation_digest":"sha256:4fa99d007dad2f53f84f4515682c5923f509bd12e6ce7bc90fc9757844a9e801","observation_id":"d917dfd0-b158-4079-9e6e-da0cd381f8eb","resolution":{"observed_at":"2026-08-02T18:15:36.134748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T18:15:35.978250Z","title":"Sara Kaliˇ snik","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2603.15384","last_updated":"2026-07-29T11:46:09Z","snapshot_observed_at":"2026-08-02T18:15:32.760306Z","submitted_at":"2026-03-16T14:58:32Z","title":"Persistence Spheres: a Bi-continuous Linear Representation of Measures for Partial Optimal Transport","version":2},"reference_index":2008,"source":"pdf_text","source_observed_at":"2026-08-02T18:15:35.978250Z"},"links":{"citing_paper":"/paper/2603.15384"},"observation_digest":"sha256:f01e67bd1491184a65da2a68a5b281ab702001278ebc05a7f0c08f3fdeded673","observation_id":"cc7537c2-cf45-46cc-88c4-30bd7249b6ed","resolution":{"observed_at":"2026-08-02T18:15:35.978250Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.15384","last_updated":"2026-07-29T11:46:09Z","latest_version":2,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-02T18:15:32.760306Z","submitted_at":"2026-03-16T14:58:32Z","title":"Persistence Spheres: a Bi-continuous Linear Representation of Measures for Partial Optimal Transport"},"reference_resolution":{"displayed":2,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":2},"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 8 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 0 inbound Pith citation observations for arXiv:2603.15384."}