{"as_of":"2026-08-23T18:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0d2b3c246c4112398efc2cbf845988523630ebc1ab007f559438d77619cecc79","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":"2026-08-23T06:30:58.430688+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":"2026-07-31T11:57:04.364577Z","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":"1004.4484","last_updated":"2010-04-26T11:13:47Z","snapshot_observed_at":"2026-08-15T05:20:38.467528Z","submitted_at":"2010-04-26T11:13:47Z","title":"Determining Edge Expansion and Other Connectivity Measures of Graphs of Bounded Genus","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1004.4484","snapshot_observed_at":"2026-07-31T11:57:04.364577Z","title":"CoRR , volume =","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.28298","last_updated":"2026-07-30T14:39:52Z","snapshot_observed_at":"2026-08-19T20:05:34.104376Z","submitted_at":"2026-07-30T14:39:52Z","title":"Finding Regions of Maximum Circularity in Plane Geometric Graphs","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-07-31T11:57:04.364577Z"},"links":{"cited_paper":"/paper/1004.4484","citing_paper":"/paper/2607.28298"},"observation_digest":"sha256:6f4ef7bba8bab54f7a761005a8810bf637b68d389ec9de9383e0f15f54012f6d","observation_id":"54712b99-61bb-43c7-afd7-314090e79103","resolution":{"observed_at":"2026-07-31T11:57:04.364577Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1004.4484/citation-record","integrity":"/paper/1004.4484/integrity","json":"/paper/1004.4484/citation-record.json","paper":"/paper/1004.4484"},"outbound":[],"paper":{"arxiv_id":"1004.4484","last_updated":"2010-04-26T11:13:47Z","latest_version":1,"primary_category":"cs.DM","snapshot_observed_at":"2026-08-15T05:20:38.467528Z","submitted_at":"2010-04-26T11:13:47Z","title":"Determining Edge Expansion and Other Connectivity Measures of Graphs of Bounded Genus"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1004.4484."}