{"as_of":"2026-08-18T00:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bc630fe6fc879186521c0e530fcd8935609fff09fba7ebeade28311f8d46c12c","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":"2026-08-17T06:30:58.91139+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":"2026-08-02T21:34:26.686693Z","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":"2209.03227","last_updated":"2022-09-07T15:31:50Z","snapshot_observed_at":"2026-08-16T16:34:08.152034Z","submitted_at":"2022-09-07T15:31:50Z","title":"Mixing time of random walk on dynamical random cluster","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.03227","snapshot_observed_at":"2026-08-02T21:34:26.686693Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.21263","last_updated":"2026-06-10T19:18:57Z","snapshot_observed_at":"2026-08-16T17:49:12.576986Z","submitted_at":"2026-02-24T05:02:42Z","title":"Inflationary branch decoherence and the cosmological arrow of time","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T21:34:26.686693Z"},"links":{"cited_paper":"/paper/2209.03227","citing_paper":"/paper/2602.21263"},"observation_digest":"sha256:f3b9f4c59b96ef6c157cb1d0131c625b91056760f921e9c90123bce4fef5259e","observation_id":"e6d4518b-d105-4b3b-ba51-f9a7d4ad8ed0","resolution":{"observed_at":"2026-08-02T21:34:26.686693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2209.03227/citation-record","integrity":"/paper/2209.03227/integrity","json":"/paper/2209.03227/citation-record.json","paper":"/paper/2209.03227"},"outbound":[],"paper":{"arxiv_id":"2209.03227","last_updated":"2022-09-07T15:31:50Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T16:34:08.152034Z","submitted_at":"2022-09-07T15:31:50Z","title":"Mixing time of random walk on dynamical random cluster"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2209.03227."}