{"as_of":"2026-08-11T12:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:227280287cf8f12456e505efcf6d581555910d5da3a64d0874ab9cc94b56376f","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T21:02:18.467909Z","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":"2026-07-11T22:28:20.029484Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.07021","last_updated":"2020-05-31T18:29:36Z","snapshot_observed_at":"2026-08-08T08:30:55.737732Z","submitted_at":"2019-08-19T18:54:09Z","title":"A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics","version":8},"cited_work":{"arxiv_id":"1908.07021","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.07021","snapshot_observed_at":"2026-07-11T22:28:20.029484Z","title":"A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics","venue":"math.ST","work_id":"e9ff2cc5-dab0-4312-83f3-fc23f71b5a69","year":2019},"citing_paper":{"arxiv_id":"2607.03996","last_updated":"2026-07-04T19:38:03Z","snapshot_observed_at":"2026-08-03T09:27:50.122493Z","submitted_at":"2026-07-04T19:38:03Z","title":"Finite Observations, Infinite Behaviour: bicategorical semantics for stateful monoidal processes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-11T22:26:02.477138Z"},"links":{"cited_paper":"/paper/1908.07021","citing_paper":"/paper/2607.03996"},"observation_digest":"sha256:55caef252058130f1d3d99e808b826179bb8d55f8b6c5984a2b98b7116892b2a","observation_id":"63c6d383-fe6e-4fdf-9b51-dd311e411990","resolution":{"observed_at":"2026-07-11T22:28:20.032385Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.07021","last_updated":"2020-05-31T18:29:36Z","snapshot_observed_at":"2026-08-08T08:30:55.737732Z","submitted_at":"2019-08-19T18:54:09Z","title":"A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1908.07021","snapshot_observed_at":"2026-07-31T21:02:18.467909Z","title":"A Synthetic Approach to","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.24212","last_updated":"2026-07-27T09:44:17Z","snapshot_observed_at":"2026-08-09T11:58:19.946876Z","submitted_at":"2026-07-27T09:44:17Z","title":"Convex Biproducts, Stochastic Matrices and Tape Diagrams","version":1},"reference_index":221,"source":"arxiv_source","source_observed_at":"2026-07-31T21:02:18.467909Z"},"links":{"cited_paper":"/paper/1908.07021","citing_paper":"/paper/2607.24212"},"observation_digest":"sha256:b8741751b738d9d676835cec200e9e11ef4bd30135d8f39807ff0faa291c45ae","observation_id":"29e9571e-406d-40e4-a9e3-d6230d0205fc","resolution":{"observed_at":"2026-07-31T21:02:18.467909Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1908.07021/citation-record","integrity":"/paper/1908.07021/integrity","json":"/paper/1908.07021/citation-record.json","paper":"/paper/1908.07021"},"outbound":[],"paper":{"arxiv_id":"1908.07021","last_updated":"2020-05-31T18:29:36Z","latest_version":8,"primary_category":"math.ST","snapshot_observed_at":"2026-08-08T08:30:55.737732Z","submitted_at":"2019-08-19T18:54:09Z","title":"A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1908.07021."}