{"as_of":"2026-08-18T12:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ee566cb619d6d2242fece4d221fc673c61aed32c143089365349829044f313fb","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:01:51.610805Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/1908.06240/citation-record","integrity":"/paper/1908.06240/integrity","json":"/paper/1908.06240/citation-record.json","paper":"/paper/1908.06240"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:01:51.722131Z","title":"Finitary codes between Markov processes","venue":null,"work_id":"41d752ef-0e7b-46d7-9527-e01b84930cc8","year":1979},"citing_paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:01:51.586010Z"},"links":{"citing_paper":"/paper/1908.06240"},"observation_digest":"sha256:c86479d23fc72b02b2a20a61de59a07cc1c524b1c510f83581a305c8000aaa72","observation_id":"2157c9f7-19f2-4b8c-988b-a9023e19fa91","resolution":{"observed_at":"2026-08-14T13:01:51.726844Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.02333","last_updated":"2022-04-07T18:53:41Z","snapshot_observed_at":"2026-08-16T12:48:18.327016Z","submitted_at":"2018-08-07T13:02:29Z","title":"Finitary codings for the random-cluster model and other infinite-range monotone models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1808.02333","snapshot_observed_at":"2026-08-14T13:01:51.591074Z","title":"Finitary codings for the random-cluster model and other inﬁnite-range monotone models","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:01:51.591074Z"},"links":{"cited_paper":"/paper/1808.02333","citing_paper":"/paper/1908.06240"},"observation_digest":"sha256:026d5be18f61d3e68687771ad9d62ee8edd28e7c356c18f9860fe7ea15b1787e","observation_id":"5f297fc5-9d6c-425d-b752-6bbc1df8fc39","resolution":{"observed_at":"2026-08-14T13:01:51.591074Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:01:51.708799Z","title":"Holroyd, Yuval Peres, and Dan Romik","venue":null,"work_id":"69d684e9-bbab-4753-8525-7a4475c98a6e","year":2006},"citing_paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:01:51.596310Z"},"links":{"citing_paper":"/paper/1908.06240"},"observation_digest":"sha256:cb0557670d6d8c4938832e33c8e147c7b978158e5d1fbaff76f6b18140e364fd","observation_id":"3278bd1c-0f88-4a56-8d53-3bead1f956af","resolution":{"observed_at":"2026-08-14T13:01:51.713021Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:01:51.693499Z","title":"Propp and David B","venue":null,"work_id":"43ae775c-8f7e-4ee2-b2af-546338aaec5b","year":1996},"citing_paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:01:51.600687Z"},"links":{"citing_paper":"/paper/1908.06240"},"observation_digest":"sha256:f39809d7ecd6d71c02eb0db08377f5a29d85ccf8b70866ae9907812c1c1892e0","observation_id":"9d744a2d-f6ee-4d66-b81d-f0ede1e972b7","resolution":{"observed_at":"2026-08-14T13:01:51.699119Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:01:51.680145Z","title":"A characterization of those processes ﬁnitarily isomorphic to a Bernoulli shift","venue":null,"work_id":"706f4147-f40e-456b-9cad-b85d1f518349","year":1981},"citing_paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:01:51.605510Z"},"links":{"citing_paper":"/paper/1908.06240"},"observation_digest":"sha256:fa09a5d270878df22161d90599e340188f3143c8bf40646942abe53cd87b5c5d","observation_id":"7cbb9d8c-2614-420d-90dd-06c6e306b590","resolution":{"observed_at":"2026-08-14T13:01:51.685147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:01:51.663045Z","title":"A mixing Markov chain with exponentially decaying return times is ﬁnitarily Bernoulli","venue":null,"work_id":"89734fac-1f78-4c45-a692-c42b2b8878e0","year":1982},"citing_paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:01:51.610805Z"},"links":{"citing_paper":"/paper/1908.06240"},"observation_digest":"sha256:b54256e3a8638c2855e40ddeb63d696aca377ccfc59fd484751c2bfc0a3aa415","observation_id":"ae85e258-ca4c-432d-af88-7d231cfe9d9a","resolution":{"observed_at":"2026-08-14T13:01:51.670317Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.06240","last_updated":"2019-08-17T04:43:59Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-18T07:22:14.437245Z","submitted_at":"2019-08-17T04:43:59Z","title":"Markov chains with exponential return times are finitary"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":6},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:1908.06240."}