{"as_of":"2026-08-16T02:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:800a7198b61d64dd05a2aacea3ad6d2d1ebb25d476b3d5d88f59f5a7ea582e3d","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":"2026-08-10T04:36:29.214185Z","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":"2026-08-10T04:36:29.826832Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1912.11315","last_updated":"2019-12-24T12:20:58Z","snapshot_observed_at":"2026-07-06T08:46:45.829022Z","submitted_at":"2019-12-24T12:20:58Z","title":"Constant index expectation curvature for graphs or Riemannian manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.11315","snapshot_observed_at":"2026-07-31T18:23:20.229851Z","title":null,"venue":null,"work_id":null,"year":1912},"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":18,"source":"pdf_text","source_observed_at":"2026-07-31T18:23:20.229851Z"},"links":{"cited_paper":"/paper/1912.11315","citing_paper":"/paper/2607.24322"},"observation_digest":"sha256:bbfbb49ab168eaa2f5a120251dcca07b66c6c707627fe4c29237e636dceef510","observation_id":"590ea9e7-d541-4a07-be31-e8833d421021","resolution":{"observed_at":"2026-07-31T18:23:20.229851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.11315","last_updated":"2019-12-24T12:20:58Z","snapshot_observed_at":"2026-07-06T08:46:45.829022Z","submitted_at":"2019-12-24T12:20:58Z","title":"Constant index expectation curvature for graphs or Riemannian manifolds","version":1},"cited_work":{"arxiv_id":"1912.11315","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.11315","snapshot_observed_at":"2026-08-10T04:36:29.826832Z","title":"Constant index expectation curvature for graphs or Riemannian manifolds","venue":"math.CO","work_id":"510842eb-10a2-4c18-9b25-e22b5465d0c6","year":2019},"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":111,"source":"pdf_text","source_observed_at":"2026-08-10T04:36:29.214185Z"},"links":{"cited_paper":"/paper/1912.11315","citing_paper":"/paper/2608.06405"},"observation_digest":"sha256:957f1514899165f3b0969ce87c4a4658dbb27291109280a8622dceefcf969e39","observation_id":"55758437-4b8b-4f83-aed0-ff887d4f59f2","resolution":{"observed_at":"2026-08-10T04:36:29.831004Z","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/1912.11315/citation-record","integrity":"/paper/1912.11315/integrity","json":"/paper/1912.11315/citation-record.json","paper":"/paper/1912.11315"},"outbound":[],"paper":{"arxiv_id":"1912.11315","last_updated":"2019-12-24T12:20:58Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T08:46:45.829022Z","submitted_at":"2019-12-24T12:20:58Z","title":"Constant index expectation curvature for graphs or Riemannian 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 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1912.11315."}