{"as_of":"2026-08-17T16:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8212f7eb3b21100f8b21e8fc1bb6f1e338e0be13b00b178fb0bd39f96c282009","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":"2026-06-26T03:41:39.786135Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-04T14:29:54.161163Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2308.00516","last_updated":"2025-03-01T08:59:10Z","snapshot_observed_at":"2026-08-16T15:11:38.100943Z","submitted_at":"2023-08-01T12:56:33Z","title":"Contractive coupling rates and curvature lower bounds for Markov chains","version":2},"cited_work":{"arxiv_id":"2308.00516","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2308.00516","snapshot_observed_at":"2026-07-04T14:29:54.161163Z","title":"Pedrotti,Contractive coupling rates and curvature lower bounds for Markov chains, arXiv:2308.00516, 2023","venue":null,"work_id":"3d55d82f-c5ce-4bc3-b02b-4f873da2d65b","year":2023},"citing_paper":{"arxiv_id":"2606.27073","last_updated":"2026-06-25T14:15:59Z","snapshot_observed_at":"2026-08-16T14:15:49.595487Z","submitted_at":"2026-06-25T14:15:59Z","title":"Retention Profiles and KL Contraction Bounds in Finite Markov Chains","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-26T03:41:39.786135Z"},"links":{"cited_paper":"/paper/2308.00516","citing_paper":"/paper/2606.27073"},"observation_digest":"sha256:882917f2a87fecdbfc6bdd0718dc2c26b5281b3bd7c58da2c42feac5cc0f54d6","observation_id":"a644afdd-c16d-4d0d-aebe-c8dfb3c8d720","resolution":{"observed_at":"2026-07-04T14:29:54.162668Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"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"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2308.00516/citation-record","integrity":"/paper/2308.00516/integrity","json":"/paper/2308.00516/citation-record.json","paper":"/paper/2308.00516"},"outbound":[],"paper":{"arxiv_id":"2308.00516","last_updated":"2025-03-01T08:59:10Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T15:11:38.100943Z","submitted_at":"2023-08-01T12:56:33Z","title":"Contractive coupling rates and curvature lower bounds for Markov chains"},"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 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2308.00516."}