{"as_of":"2026-08-14T23:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:15b7b3204357c937e8683ed52f7d150e9c76b520867cbb9e5ee523f229f8d27a","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T04:43:48.538907Z","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":"2026-05-18T05:20:54.437169Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.02804","last_updated":"2025-04-03T17:50:14Z","snapshot_observed_at":"2026-08-13T15:10:28.602105Z","submitted_at":"2025-04-03T17:50:14Z","title":"Convergence of Ricci flow and long-time existence of Harmonic map heat flow","version":1},"cited_work":{"arxiv_id":"2504.02804","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.02804","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Choi and Y","venue":null,"work_id":"8c89763a-bccb-4e65-9319-213495b9dbcc","year":null},"citing_paper":{"arxiv_id":"2510.20320","last_updated":"2026-04-09T09:33:34Z","snapshot_observed_at":"2026-08-02T23:15:18.307690Z","submitted_at":"2025-10-23T08:14:20Z","title":"Strong uniqueness of tangent flows at cylindrical singularities in Ricci flow","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-18T05:16:42.201968Z"},"links":{"cited_paper":"/paper/2504.02804","citing_paper":"/paper/2510.20320"},"observation_digest":"sha256:f571405e6913e608c199a4c81fb937f6038e8994fc50837790575435fa3706e2","observation_id":"42179d6f-a75b-40d2-a470-5a7f2e2f7b6d","resolution":{"observed_at":"2026-05-18T05:20:54.438968Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.02804","last_updated":"2025-04-03T17:50:14Z","snapshot_observed_at":"2026-08-13T15:10:28.602105Z","submitted_at":"2025-04-03T17:50:14Z","title":"Convergence of Ricci flow and long-time existence of Harmonic map heat flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.02804","snapshot_observed_at":"2026-08-06T15:01:55.487055Z","title":"Chen and S","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.04855","last_updated":"2026-08-05T13:48:07Z","snapshot_observed_at":"2026-08-12T23:38:22.706755Z","submitted_at":"2026-08-05T13:48:07Z","title":"Non-uniqueness of geodesic limits and a question of Grayson and Gage","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T15:01:55.487055Z"},"links":{"cited_paper":"/paper/2504.02804","citing_paper":"/paper/2608.04855"},"observation_digest":"sha256:64f423c43fbb0ea5a84d888fe87a49e0f00fbe89e8eecc8e084989a7d821c883","observation_id":"4d5c242b-761c-4282-9f4a-2d8e0f11d5dd","resolution":{"observed_at":"2026-08-06T15:01:55.487055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.02804","last_updated":"2025-04-03T17:50:14Z","snapshot_observed_at":"2026-08-13T15:10:28.602105Z","submitted_at":"2025-04-03T17:50:14Z","title":"Convergence of Ricci flow and long-time existence of Harmonic map heat flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.02804","snapshot_observed_at":"2026-08-14T04:43:48.538907Z","title":"Choi and Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.08533","last_updated":"2026-08-09T07:10:33Z","snapshot_observed_at":"2026-08-14T23:18:53.951682Z","submitted_at":"2026-08-09T07:10:33Z","title":"Open full-metric formation and local marked first-order asymptotic moduli of FIK blowdown singularities","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T04:43:48.538907Z"},"links":{"cited_paper":"/paper/2504.02804","citing_paper":"/paper/2608.08533"},"observation_digest":"sha256:4f92acdda093bfb97d8236483d23c8b6d69c537c141d73bdc8b3fa8f05a911cd","observation_id":"2e81bd6d-1dc2-4f45-b43c-f382197abe66","resolution":{"observed_at":"2026-08-14T04:43:48.538907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.02804/citation-record","integrity":"/paper/2504.02804/integrity","json":"/paper/2504.02804/citation-record.json","paper":"/paper/2504.02804"},"outbound":[],"paper":{"arxiv_id":"2504.02804","last_updated":"2025-04-03T17:50:14Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-13T15:10:28.602105Z","submitted_at":"2025-04-03T17:50:14Z","title":"Convergence of Ricci flow and long-time existence of Harmonic map heat flow"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2504.02804."}