{"as_of":"2026-08-19T21:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:672c5bb0dbc5dc7adaeb27bba279e750dd6b57c26c5af56a18263ee436d2d89a","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":"2026-08-19T06:32:44.657259+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":"2026-08-12T22:03:04.472589Z","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":"2026-08-05T14:49:33.479268Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2105.08130","last_updated":"2021-05-17T19:45:50Z","snapshot_observed_at":"2026-08-16T18:24:07.719048Z","submitted_at":"2021-05-17T19:45:50Z","title":"Persistent homology with non-contractible preimages","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.08130","snapshot_observed_at":"2026-08-12T22:03:04.472589Z","title":"Persistent homology with non-contractible preimages","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.08201","last_updated":"2024-11-12T21:44:35Z","snapshot_observed_at":"2026-08-12T21:49:48.048161Z","submitted_at":"2024-11-12T21:44:35Z","title":"Fibers of point cloud persistence","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-12T22:03:04.472589Z"},"links":{"cited_paper":"/paper/2105.08130","citing_paper":"/paper/2411.08201"},"observation_digest":"sha256:615000bb6c0f7135fce4960b443e0f7871a7ab0e25e5d795bb821e121e6cef5a","observation_id":"d43cadee-2216-4d18-9763-84fd0d3b9d24","resolution":{"observed_at":"2026-08-12T22:03:04.472589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.08130","last_updated":"2021-05-17T19:45:50Z","snapshot_observed_at":"2026-08-16T18:24:07.719048Z","submitted_at":"2021-05-17T19:45:50Z","title":"Persistent homology with non-contractible preimages","version":1},"cited_work":{"arxiv_id":"2105.08130","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.08130","snapshot_observed_at":"2026-08-05T14:49:33.479268Z","title":"Persistent homology with non-contractible preimages","venue":"math.AT","work_id":"aef44642-84f4-432f-aab0-ebaae4e309c9","year":2021},"citing_paper":{"arxiv_id":"2508.20881","last_updated":"2025-08-28T15:11:49Z","snapshot_observed_at":"2026-08-09T19:14:23.746651Z","submitted_at":"2025-08-28T15:11:49Z","title":"Understanding and evaluating computer vision models through the lens of counterfactuals","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T14:49:30.262935Z"},"links":{"cited_paper":"/paper/2105.08130","citing_paper":"/paper/2508.20881"},"observation_digest":"sha256:c1960f9d542fbaa1a4512b7454ff491ce6f8a23fb9de1435063a715daaf4eacc","observation_id":"1daec23f-b675-41ee-be65-07325b286d3a","resolution":{"observed_at":"2026-08-05T14:49:33.489977Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2105.08130/citation-record","integrity":"/paper/2105.08130/integrity","json":"/paper/2105.08130/citation-record.json","paper":"/paper/2105.08130"},"outbound":[],"paper":{"arxiv_id":"2105.08130","last_updated":"2021-05-17T19:45:50Z","latest_version":1,"primary_category":"math.AT","snapshot_observed_at":"2026-08-16T18:24:07.719048Z","submitted_at":"2021-05-17T19:45:50Z","title":"Persistent homology with non-contractible preimages"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2105.08130."}