{"as_of":"2026-08-16T08:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1257a2fbbc6ba9b31fff64321aaf4559635c43853168dbfaa984fd7293e886e3","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":"2026-08-16T06:30:59.297886+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":"2026-08-14T11:31:00.746304Z","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":"2026-08-14T11:31:00.799231Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1904.10557","last_updated":"2019-04-23T22:27:49Z","snapshot_observed_at":"2026-08-14T16:42:26.015704Z","submitted_at":"2019-04-23T22:27:49Z","title":"A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$","version":1},"cited_work":{"arxiv_id":"1904.10557","doi":null,"metadata_source":"pith","pith_arxiv_id":"1904.10557","snapshot_observed_at":"2026-08-14T11:31:00.799231Z","title":"A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$","venue":"math.PR","work_id":"4900bfe2-7552-41df-9944-3230f09367c8","year":2019},"citing_paper":{"arxiv_id":"1908.09056","last_updated":"2022-01-31T18:46:23Z","snapshot_observed_at":"2026-08-15T19:38:49.155362Z","submitted_at":"2019-08-24T00:26:53Z","title":"Finitary codings for gradient models and a new graphical representation for the six-vertex model","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T11:31:00.746304Z"},"links":{"cited_paper":"/paper/1904.10557","citing_paper":"/paper/1908.09056"},"observation_digest":"sha256:f1e2ef9e30856838fd733147107fcff23cfb2d1724db1e0c48ffebe00314d49e","observation_id":"4720275e-d981-42db-86fc-7c1c3ffed63f","resolution":{"observed_at":"2026-08-14T11:31:00.803265Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1904.10557/citation-record","integrity":"/paper/1904.10557/integrity","json":"/paper/1904.10557/citation-record.json","paper":"/paper/1904.10557"},"outbound":[],"paper":{"arxiv_id":"1904.10557","last_updated":"2019-04-23T22:27:49Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-14T16:42:26.015704Z","submitted_at":"2019-04-23T22:27:49Z","title":"A short proof of the discontinuity of phase transition in the planar random-cluster model with $q>4$"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1904.10557."}