{"as_of":"2026-08-09T18:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cef269f60ec1976e5b735f2421437187d09f07cb5031ac0d32b22f182f6b38ab","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":"2026-08-09T06:31:02.800959+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":"2026-08-07T10:50:56.480858Z","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":"2026-08-07T10:50:56.641252Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2304.13784","last_updated":"2023-04-26T19:04:47Z","snapshot_observed_at":"2026-07-06T15:20:29.154658Z","submitted_at":"2023-04-26T19:04:47Z","title":"Characterizations of amenability through stochastic domination and finitary codings","version":1},"cited_work":{"arxiv_id":"2304.13784","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.13784","snapshot_observed_at":"2026-08-07T10:50:56.641252Z","title":"Characterizations of amenability through stochastic domination and finitary codings","venue":"math.PR","work_id":"fb695537-c462-4ded-8331-f99f26ae563b","year":2023},"citing_paper":{"arxiv_id":"2506.04797","last_updated":"2025-06-05T09:24:15Z","snapshot_observed_at":"2026-08-07T10:30:23.104682Z","submitted_at":"2025-06-05T09:24:15Z","title":"Finitary codings and stochastic domination for Poisson representable processes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:50:56.480858Z"},"links":{"cited_paper":"/paper/2304.13784","citing_paper":"/paper/2506.04797"},"observation_digest":"sha256:b71fe63d306b3090797b80dc5d08b2e0d78ef754f7d9bd72cd013093c8c84a41","observation_id":"b061f74e-25a2-4e70-adc5-b33549cf9909","resolution":{"observed_at":"2026-08-07T10:50:56.650559Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2304.13784/citation-record","integrity":"/paper/2304.13784/integrity","json":"/paper/2304.13784/citation-record.json","paper":"/paper/2304.13784"},"outbound":[],"paper":{"arxiv_id":"2304.13784","last_updated":"2023-04-26T19:04:47Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-07-06T15:20:29.154658Z","submitted_at":"2023-04-26T19:04:47Z","title":"Characterizations of amenability through stochastic domination and finitary codings"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2304.13784."}