{"as_of":"2026-08-20T01:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b98f29430a6f844af96d367ae3c8189a9612625259d21a06f455fff70244e8a4","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T23:18:29.951165Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1307.4649","last_updated":"2014-11-01T18:02:44Z","snapshot_observed_at":"2026-08-15T00:10:02.376692Z","submitted_at":"2013-07-17T14:30:28Z","title":"Dobrushin's ergodicity coefficient for Markov operators on cones","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1307.4649","snapshot_observed_at":"2026-08-01T23:18:29.951165Z","title":"Gaubert and Z","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15522","last_updated":"2026-07-17T00:13:49Z","snapshot_observed_at":"2026-08-14T11:31:20.697434Z","submitted_at":"2026-07-17T00:13:49Z","title":"Nonnegative Bakry--\\'Emery Curvature on Bounded-Degree Graphs Implies Volume Doubling and Poincar\\'e Inequalities","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T23:18:29.951165Z"},"links":{"cited_paper":"/paper/1307.4649","citing_paper":"/paper/2607.15522"},"observation_digest":"sha256:e479471efd59bf09bce9b41a54c97fd23490b4ec6f0a3df90c814580aa32c94d","observation_id":"19d9e5de-ff8a-4158-8f4e-7a0ba3a74c89","resolution":{"observed_at":"2026-08-01T23:18:29.951165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1307.4649/citation-record","integrity":"/paper/1307.4649/integrity","json":"/paper/1307.4649/citation-record.json","paper":"/paper/1307.4649"},"outbound":[],"paper":{"arxiv_id":"1307.4649","last_updated":"2014-11-01T18:02:44Z","latest_version":3,"primary_category":"math.FA","snapshot_observed_at":"2026-08-15T00:10:02.376692Z","submitted_at":"2013-07-17T14:30:28Z","title":"Dobrushin's ergodicity coefficient for Markov operators on cones"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1307.4649."}