{"as_of":"2026-08-18T05:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9c30700fd8bf76984a221d14d235b6c6fa9b2d6b57a9bc544c52c360dd6e6108","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":"2026-08-06T18:43:01.415601Z","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":"2026-08-06T18:43:01.552410Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2108.13882","last_updated":"2024-09-12T16:09:08Z","snapshot_observed_at":"2026-08-17T22:08:44.027483Z","submitted_at":"2021-08-31T14:37:46Z","title":"Uniformly distributed orbits in $\\mathbb{T}^d$ and singular substitution dynamical systems","version":2},"cited_work":{"arxiv_id":"2108.13882","doi":null,"metadata_source":"pith","pith_arxiv_id":"2108.13882","snapshot_observed_at":"2026-08-06T18:43:01.552410Z","title":"Uniformly distributed orbits in $\\mathbb{T}^d$ and singular substitution dynamical systems","venue":"math.DS","work_id":"b54a974a-822e-4d54-9340-865b00c94179","year":2021},"citing_paper":{"arxiv_id":"2507.07753","last_updated":"2025-07-10T13:32:59Z","snapshot_observed_at":"2026-08-13T08:09:43.335319Z","submitted_at":"2025-07-10T13:32:59Z","title":"Exact renormalisation for patch frequencies in inflation systems","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T18:43:01.415601Z"},"links":{"cited_paper":"/paper/2108.13882","citing_paper":"/paper/2507.07753"},"observation_digest":"sha256:31cac03a8d9e3385cc5878fd98e68363a2ee857747b5fbaf7adca8b084f91591","observation_id":"0939e5ff-3c3e-4c53-895b-701381459cdf","resolution":{"observed_at":"2026-08-06T18:43:01.633235Z","resolver_source":"local_arxiv","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/2108.13882/citation-record","integrity":"/paper/2108.13882/integrity","json":"/paper/2108.13882/citation-record.json","paper":"/paper/2108.13882"},"outbound":[],"paper":{"arxiv_id":"2108.13882","last_updated":"2024-09-12T16:09:08Z","latest_version":2,"primary_category":"math.DS","snapshot_observed_at":"2026-08-17T22:08:44.027483Z","submitted_at":"2021-08-31T14:37:46Z","title":"Uniformly distributed orbits in $\\mathbb{T}^d$ and singular substitution dynamical systems"},"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 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2108.13882."}