{"as_of":"2026-08-22T22:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d140bb8a404097e8db35ae54fe38d6657de9c6012d0eda695330824ae6ea40a0","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":"2026-08-10T20:40:00.660915Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+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":"2026-08-16T10:41:45.167175Z","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":"2026-08-16T10:41:45.371148Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"cited_work":{"arxiv_id":"2501.08116","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.08116","snapshot_observed_at":"2026-08-16T10:41:45.371148Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","venue":"math.DS","work_id":"a90546c2-a5c4-4d1d-9dc5-a0a3d06f2c07","year":2025},"citing_paper":{"arxiv_id":"2504.18192","last_updated":"2025-04-25T09:10:36Z","snapshot_observed_at":"2026-08-21T23:35:41.567304Z","submitted_at":"2025-04-25T09:10:36Z","title":"Recent progress on pointwise normality of self-similar measures","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T10:41:45.167175Z"},"links":{"cited_paper":"/paper/2501.08116","citing_paper":"/paper/2504.18192"},"observation_digest":"sha256:fd59bb9fc26d870bc6c76649261e881b1b1326850bc932bd16e1677efdb49587","observation_id":"8717385b-71b4-463a-8aa2-6460ef48393b","resolution":{"observed_at":"2026-08-16T10:41:45.375233Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.08116/citation-record","integrity":"/paper/2501.08116/integrity","json":"/paper/2501.08116/citation-record.json","paper":"/paper/2501.08116"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:40:00.776576Z","title":"Bertrand-Mathis","venue":null,"work_id":"751e2b2d-725b-47a1-83ef-cbd517ee9ae7","year":1998},"citing_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T20:40:00.634315Z"},"links":{"citing_paper":"/paper/2501.08116"},"observation_digest":"sha256:7ece5bc4ad796979bdad0b03fdc4b1f1c636fab3c62a6f501411c6cd63c71c33","observation_id":"264d1529-9c22-4a3c-ad6a-f72e387fcb6e","resolution":{"observed_at":"2026-08-10T20:40:00.781681Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T20:40:00.759944Z","title":"Hochman and P","venue":null,"work_id":"dcca8cd1-f361-4e2b-a059-73603ece288e","year":2015},"citing_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T20:40:00.640358Z"},"links":{"citing_paper":"/paper/2501.08116"},"observation_digest":"sha256:5f2bc5a38c98847c5fb80915244665521cd55aaaefdccde5ed1486951e263356","observation_id":"5640e0b1-4856-4cde-b8ff-f83f37cf6fb7","resolution":{"observed_at":"2026-08-10T20:40:00.765060Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T20:40:00.743616Z","title":"Hofbauer","venue":null,"work_id":"71857988-8ece-456b-866d-fd0ff7f92e10","year":1978},"citing_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T20:40:00.645758Z"},"links":{"citing_paper":"/paper/2501.08116"},"observation_digest":"sha256:ca695e8b92d4fad573539f11484971c66078a9288bd97f381b97debc408d4e64","observation_id":"3e96b6e3-3028-4bbe-81a8-72ec906b0cf0","resolution":{"observed_at":"2026-08-10T20:40:00.748632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T20:40:00.650802Z","title":null,"venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T20:40:00.650802Z"},"links":{"citing_paper":"/paper/2501.08116"},"observation_digest":"sha256:d02e941cfc6005ab0d43dba25bcc18fad601d003dbe9f15d6da149871c64a2df","observation_id":"8c02f3d7-7f0d-44c5-b8db-daa35083a34b","resolution":{"observed_at":"2026-08-10T20:40:00.650802Z","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":"2026-08-10T20:40:00.713273Z","title":null,"venue":null,"work_id":"346197f5-a2f3-466d-b208-c859734da6e1","year":1957},"citing_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T20:40:00.655920Z"},"links":{"citing_paper":"/paper/2501.08116"},"observation_digest":"sha256:d98b362421e5504b8793ed53487553e23810cbae4d5cfc3597453015b1094316","observation_id":"d90dd344-a1b6-41fc-ae9f-1884a0acacc8","resolution":{"observed_at":"2026-08-10T20:40:00.718753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T20:40:00.695651Z","title":"Takahashi","venue":null,"work_id":"ca86d97a-475c-46ab-b159-e54cc520ba6f","year":1973},"citing_paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T20:40:00.660915Z"},"links":{"citing_paper":"/paper/2501.08116"},"observation_digest":"sha256:9bba7bd805980d53b3f9654d4b00c2d2b4c675dee98642b1b4d5a0b19ecb4a93","observation_id":"6cacad3c-c6e9-4362-96cc-6eacfd0552e4","resolution":{"observed_at":"2026-08-10T20:40:00.701430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.08116","last_updated":"2025-01-14T13:49:20Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-10T20:27:18.599672Z","submitted_at":"2025-01-14T13:49:20Z","title":"The coincidence of R\\'{e}nyi-Parry measures for $\\beta$-transformation"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":4},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 1 inbound Pith citation observation for arXiv:2501.08116."}