{"as_of":"2026-08-08T16:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:06fb4b8d5588e1e57745608901de4b276ce5cf25a7bfee1cb5bf13003efd62d5","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:08:22.783947Z","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":"2026-07-03T03:07:35.500647Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2504.05817","last_updated":"2025-04-08T08:58:26Z","snapshot_observed_at":"2026-08-07T16:07:37.744129Z","submitted_at":"2025-04-08T08:58:26Z","title":"Combinatorial Ricci flows on infinite disk triangulations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.05817","snapshot_observed_at":"2026-08-07T14:08:22.783947Z","title":"Combinatorial ricci flows on infinite disk triangulations.arXiv preprint arXiv.2504.05817, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.20091","last_updated":"2025-05-26T15:02:56Z","snapshot_observed_at":"2026-08-07T13:57:05.792299Z","submitted_at":"2025-05-26T15:02:56Z","title":"A prescribed curvature flow on hyperbolic surfaces with infinite topological type","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T14:08:22.783947Z"},"links":{"cited_paper":"/paper/2504.05817","citing_paper":"/paper/2505.20091"},"observation_digest":"sha256:26a80fd3abc0f62a6b2d08322588d9727ef074c6f65315702242914d8dfa3177","observation_id":"d44618d1-180a-41c7-86ac-c070ce0c2dbe","resolution":{"observed_at":"2026-08-07T14:08:22.783947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.05817","last_updated":"2025-04-08T08:58:26Z","snapshot_observed_at":"2026-08-07T16:07:37.744129Z","submitted_at":"2025-04-08T08:58:26Z","title":"Combinatorial Ricci flows on infinite disk triangulations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.05817","snapshot_observed_at":"2026-08-07T10:34:25.574068Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.05036","last_updated":"2025-06-05T13:41:34Z","snapshot_observed_at":"2026-08-07T10:24:44.387575Z","submitted_at":"2025-06-05T13:41:34Z","title":"Characterization of Infinite Ideal Polyhedra in Hyperbolic 3-Space via Combinatorial Ricci Flow","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T10:34:25.574068Z"},"links":{"cited_paper":"/paper/2504.05817","citing_paper":"/paper/2506.05036"},"observation_digest":"sha256:17a18f82a519a67030578924c49e4c111948f595d69c0a339dae4add84ebd4c1","observation_id":"5213aeff-ffec-4d93-80d8-76c9c8647ece","resolution":{"observed_at":"2026-08-07T10:34:25.574068Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.05817","last_updated":"2025-04-08T08:58:26Z","snapshot_observed_at":"2026-08-07T16:07:37.744129Z","submitted_at":"2025-04-08T08:58:26Z","title":"Combinatorial Ricci flows on infinite disk triangulations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.05817","snapshot_observed_at":"2026-08-06T16:57:33.512418Z","title":"Combinatorial ricci flows on infinite disk triangulations, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.12355","last_updated":"2025-07-16T15:53:03Z","snapshot_observed_at":"2026-08-06T16:45:19.285072Z","submitted_at":"2025-07-16T15:53:03Z","title":"The existence and uniqueness of infinite combinatorial Yamabe flows","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T16:57:33.512418Z"},"links":{"cited_paper":"/paper/2504.05817","citing_paper":"/paper/2507.12355"},"observation_digest":"sha256:4464a965d95bcf06b93a7a100551452be9b5dfed4bd2c5009c19dee560bb4c88","observation_id":"f9326cc0-d6be-4f1d-801f-fdfbaa29765c","resolution":{"observed_at":"2026-08-06T16:57:33.512418Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.05817","last_updated":"2025-04-08T08:58:26Z","snapshot_observed_at":"2026-08-07T16:07:37.744129Z","submitted_at":"2025-04-08T08:58:26Z","title":"Combinatorial Ricci flows on infinite disk triangulations","version":1},"cited_work":{"arxiv_id":"2504.05817","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.05817","snapshot_observed_at":"2026-07-03T03:07:35.500647Z","title":"Combinatorial ricci flows on infinite disk triangulations","venue":null,"work_id":"5750e9a2-186d-4e1d-a513-0d8c9ce042ad","year":2025},"citing_paper":{"arxiv_id":"2606.09017","last_updated":"2026-06-08T04:28:11Z","snapshot_observed_at":"2026-08-07T03:24:19.060410Z","submitted_at":"2026-06-08T04:28:11Z","title":"The Ollivier Ricci flow with prescribed curvature on infinite graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T15:29:24.205378Z"},"links":{"cited_paper":"/paper/2504.05817","citing_paper":"/paper/2606.09017"},"observation_digest":"sha256:bb119b6e8626e455dc50e322f5edb02e96c508195c9fbd4632bb226249f7a4db","observation_id":"902a1e61-41b7-4b32-9265-bb1a11e78761","resolution":{"observed_at":"2026-07-03T03:07:35.502185Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.05817","last_updated":"2025-04-08T08:58:26Z","snapshot_observed_at":"2026-08-07T16:07:37.744129Z","submitted_at":"2025-04-08T08:58:26Z","title":"Combinatorial Ricci flows on infinite disk triangulations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.05817","snapshot_observed_at":"2026-07-30T18:20:46.787264Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.23584","last_updated":"2026-07-26T10:26:10Z","snapshot_observed_at":"2026-08-07T23:03:04.891131Z","submitted_at":"2026-07-26T10:26:10Z","title":"Infinite Combinatorial Yamabe Flows in Three Dimensions","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-30T18:20:46.787264Z"},"links":{"cited_paper":"/paper/2504.05817","citing_paper":"/paper/2607.23584"},"observation_digest":"sha256:ae8284b94603e4e9b3ba9523e0feef46f9a5565012143ceb8a351c34a1a835f5","observation_id":"ebb1031a-9a96-45bc-bc4f-d1e2dc155390","resolution":{"observed_at":"2026-07-30T18:20:46.787264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2504.05817/citation-record","integrity":"/paper/2504.05817/integrity","json":"/paper/2504.05817/citation-record.json","paper":"/paper/2504.05817"},"outbound":[],"paper":{"arxiv_id":"2504.05817","last_updated":"2025-04-08T08:58:26Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-07T16:07:37.744129Z","submitted_at":"2025-04-08T08:58:26Z","title":"Combinatorial Ricci flows on infinite disk triangulations"},"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":"2026-08-08T06:32:00.761636+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 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2504.05817."}