{"as_of":"2026-08-15T22:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5357153e6e93668c4e51abb7f14804c5a15d49935b8923c06afdd72c051e5855","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":"2026-08-15T06:32:42.880941+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":"2026-08-10T04:36:29.260463Z","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":"2026-08-10T04:36:29.707782Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2001.06925","last_updated":"2020-01-20T00:46:43Z","snapshot_observed_at":"2026-08-08T19:39:56.462894Z","submitted_at":"2020-01-20T00:46:43Z","title":"On index expectation curvature for manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.06925","snapshot_observed_at":"2026-07-31T18:23:20.267549Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.24322","last_updated":"2026-07-27T12:02:06Z","snapshot_observed_at":"2026-08-10T19:31:15.351306Z","submitted_at":"2026-07-27T12:02:06Z","title":"Euler Characteristics of Random Manifolds","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-31T18:23:20.267549Z"},"links":{"cited_paper":"/paper/2001.06925","citing_paper":"/paper/2607.24322"},"observation_digest":"sha256:7d764da35168b89d91e2f0d8a2f223a42d53191b5f66cf3657fe842642b6d8e6","observation_id":"fdea24e6-7ad8-4888-be80-37e1eb920a32","resolution":{"observed_at":"2026-07-31T18:23:20.267549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.06925","last_updated":"2020-01-20T00:46:43Z","snapshot_observed_at":"2026-08-08T19:39:56.462894Z","submitted_at":"2020-01-20T00:46:43Z","title":"On index expectation curvature for manifolds","version":1},"cited_work":{"arxiv_id":"2001.06925","doi":null,"metadata_source":"pith","pith_arxiv_id":"2001.06925","snapshot_observed_at":"2026-08-10T04:36:29.707782Z","title":"On index expectation curvature for manifolds","venue":"math.DG","work_id":"59cd1dc8-5151-4512-8441-c8e67684bf9c","year":2020},"citing_paper":{"arxiv_id":"2608.06405","last_updated":"2026-08-03T03:30:08Z","snapshot_observed_at":"2026-08-14T20:00:54.919011Z","submitted_at":"2026-08-03T03:30:08Z","title":"Elements of finite geometry I","version":1},"reference_index":125,"source":"pdf_text","source_observed_at":"2026-08-10T04:36:29.260463Z"},"links":{"cited_paper":"/paper/2001.06925","citing_paper":"/paper/2608.06405"},"observation_digest":"sha256:776e12e4f105c1a768ff7fd48cb20fbf52887cf21d9c71e0d970277e4a667447","observation_id":"adbf4d35-a552-438d-90ec-d5961bb3dc62","resolution":{"observed_at":"2026-08-10T04:36:29.711663Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2001.06925/citation-record","integrity":"/paper/2001.06925/integrity","json":"/paper/2001.06925/citation-record.json","paper":"/paper/2001.06925"},"outbound":[],"paper":{"arxiv_id":"2001.06925","last_updated":"2020-01-20T00:46:43Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-08T19:39:56.462894Z","submitted_at":"2020-01-20T00:46:43Z","title":"On index expectation curvature for manifolds"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2001.06925."}