{"as_of":"2026-08-10T02:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7099daf5797d7345c4382f16492d1548235582c59ab612a8fc78aeab6651ed24","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":"2026-08-09T06:31:02.800959+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":"2026-08-07T12:09:17.969270Z","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":"2026-05-11T23:06:17.204589Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.06395","last_updated":"2024-11-10T08:53:17Z","snapshot_observed_at":"2026-08-04T19:19:30.701842Z","submitted_at":"2024-11-10T08:53:17Z","title":"Some rigidity results on shrinking gradient Ricci soliton","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.06395","snapshot_observed_at":"2026-08-07T12:09:17.969270Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00887","last_updated":"2025-06-01T08:02:14Z","snapshot_observed_at":"2026-08-08T12:12:45.466556Z","submitted_at":"2025-06-01T08:02:14Z","title":"Rigidity of Five-Dimensional shrinking gradient Ricci solitons","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:09:17.969270Z"},"links":{"cited_paper":"/paper/2411.06395","citing_paper":"/paper/2506.00887"},"observation_digest":"sha256:5e2918e75feb3d03ddbb360bcb1e89f5bbaf6e031a7df98ac284816727b2baf8","observation_id":"d9118112-8655-456f-a227-fbd3b8a99555","resolution":{"observed_at":"2026-08-07T12:09:17.969270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.06395","last_updated":"2024-11-10T08:53:17Z","snapshot_observed_at":"2026-08-04T19:19:30.701842Z","submitted_at":"2024-11-10T08:53:17Z","title":"Some rigidity results on shrinking gradient Ricci soliton","version":1},"cited_work":{"arxiv_id":"2411.06395","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.06395","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"86f8cb7d-c4b0-4dcf-9624-96d3b31b07c7","year":null},"citing_paper":{"arxiv_id":"2604.23939","last_updated":"2026-04-27T01:23:39Z","snapshot_observed_at":"2026-08-02T11:01:16.178299Z","submitted_at":"2026-04-27T01:23:39Z","title":"A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-08T01:47:28.515800Z"},"links":{"cited_paper":"/paper/2411.06395","citing_paper":"/paper/2604.23939"},"observation_digest":"sha256:32f42c249297b74c1c34b134ceded4200b6904b677917c3826b9874520639013","observation_id":"b4906b6c-6096-4b3a-984d-e2149a72ab2e","resolution":{"observed_at":"2026-05-11T23:06:17.210209Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2411.06395/citation-record","integrity":"/paper/2411.06395/integrity","json":"/paper/2411.06395/citation-record.json","paper":"/paper/2411.06395"},"outbound":[],"paper":{"arxiv_id":"2411.06395","last_updated":"2024-11-10T08:53:17Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-04T19:19:30.701842Z","submitted_at":"2024-11-10T08:53:17Z","title":"Some rigidity results on shrinking gradient Ricci soliton"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2411.06395."}