{"as_of":"2026-07-22T08:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:88bcafe447f1f488525992c57290646ca36b7737febeb96fc8c4dfdb6c4822af","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":"2026-07-22T06:31:00.163083+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":"2026-06-29T05:03:03.616289Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-06-29T18:43:51.265403Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.14993","last_updated":"2026-05-18T17:31:51Z","snapshot_observed_at":"2026-07-06T20:25:58.814961Z","submitted_at":"2025-01-25T00:00:50Z","title":"Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity","version":3},"cited_work":{"arxiv_id":"2501.14993","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.14993","snapshot_observed_at":"2026-06-29T18:43:51.265403Z","title":"Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity","venue":"math.OC","work_id":"d2bc74f4-a4e2-46e2-98ff-5b6fa55a08a7","year":2025},"citing_paper":{"arxiv_id":"2605.17963","last_updated":"2026-05-18T07:18:22Z","snapshot_observed_at":"2026-07-06T23:28:55.079333Z","submitted_at":"2026-05-18T07:18:22Z","title":"From Saddle Points Toward Global Minima: A Newton-Type Method on Wasserstein Space","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-20T09:51:19.291136Z"},"links":{"cited_paper":"/paper/2501.14993","citing_paper":"/paper/2605.17963"},"observation_digest":"sha256:b239ddd70635317f1cb2cb44f1f9f16c556aefb697b5a3e07faeab48cfb54c3e","observation_id":"5d120ae9-9764-4931-ba0d-4956d33459f8","resolution":{"observed_at":"2026-05-20T09:53:15.894491Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-22T06:31:00.163083+00:00","source":"crossref"},{"observed_at":"2026-07-22T06:30:55.410749+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.14993","last_updated":"2026-05-18T17:31:51Z","snapshot_observed_at":"2026-07-06T20:25:58.814961Z","submitted_at":"2025-01-25T00:00:50Z","title":"Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity","version":3},"cited_work":{"arxiv_id":"2501.14993","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.14993","snapshot_observed_at":"2026-06-29T18:43:51.265403Z","title":"Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity","venue":"math.OC","work_id":"d2bc74f4-a4e2-46e2-98ff-5b6fa55a08a7","year":2025},"citing_paper":{"arxiv_id":"2606.27767","last_updated":"2026-06-26T06:53:03Z","snapshot_observed_at":"2026-07-07T00:01:54.432346Z","submitted_at":"2026-06-26T06:53:03Z","title":"Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-06-29T05:03:03.616289Z"},"links":{"cited_paper":"/paper/2501.14993","citing_paper":"/paper/2606.27767"},"observation_digest":"sha256:c215e048e7eae88ea0e8a6828a5cb3c02c6a24fd1f0367e310c67074126c8f70","observation_id":"c71e5f5e-8745-4302-aeb6-5015170e7cc2","resolution":{"observed_at":"2026-06-29T18:43:51.266684Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-07-22T06:31:00.163083+00:00","source":"crossref"},{"observed_at":"2026-07-22T06:30:55.410749+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.14993/citation-record","integrity":"/paper/2501.14993/integrity","json":"/paper/2501.14993/citation-record.json","paper":"/paper/2501.14993"},"outbound":[],"paper":{"arxiv_id":"2501.14993","last_updated":"2026-05-18T17:31:51Z","latest_version":3,"primary_category":"math.OC","snapshot_observed_at":"2026-07-06T20:25:58.814961Z","submitted_at":"2025-01-25T00:00:50Z","title":"Convergence Analysis of the Wasserstein Proximal Algorithm beyond Geodesic Convexity"},"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":"2026-07-22T06:31:00.163083+00:00","source":"crossref"},{"observed_at":"2026-07-22T06:30:55.410749+00:00","source":"retraction_watch"}],"thesis":"As of 22 July 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2501.14993."}