{"as_of":"2026-08-22T17:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e11a54e9283212e756080e31b04e00394db041b69b27f28fd4fea16fde04d2c0","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T20:06:08.640170Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2503.16580","last_updated":"2025-03-20T12:34:22Z","snapshot_observed_at":"2026-08-16T12:48:17.599836Z","submitted_at":"2025-03-20T12:34:22Z","title":"Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.16580","snapshot_observed_at":"2026-08-01T20:06:08.640170Z","title":"Procrustes Wasserstein metric: A modified benamou-brenier ap- proach with applications to latent gaussian distributions","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.16782","last_updated":"2026-07-18T11:33:15Z","snapshot_observed_at":"2026-08-12T19:58:25.629698Z","submitted_at":"2026-07-18T11:33:15Z","title":"Dynamical Optimal Transport with $\\mathfrak{so}(d)$-Invariance: From Theory to Computation","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T20:06:08.640170Z"},"links":{"cited_paper":"/paper/2503.16580","citing_paper":"/paper/2607.16782"},"observation_digest":"sha256:36a3f1d1065b29ba9549a2f64948ae0113bd65bdd6f76f2c484da3384acc0740","observation_id":"c69c5163-0b32-4ecb-9217-73c84bad2339","resolution":{"observed_at":"2026-08-01T20:06:08.640170Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.16580/citation-record","integrity":"/paper/2503.16580/integrity","json":"/paper/2503.16580/citation-record.json","paper":"/paper/2503.16580"},"outbound":[],"paper":{"arxiv_id":"2503.16580","last_updated":"2025-03-20T12:34:22Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-16T12:48:17.599836Z","submitted_at":"2025-03-20T12:34:22Z","title":"Procrustes Wasserstein Metric: A Modified Benamou-Brenier Approach with Applications to Latent Gaussian Distributions"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2503.16580."}