{"as_of":"2026-08-23T15:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5401ffb1dcd5a36d6184342a3c4ee61d3dcdb9762257c79b2a190241d8039780","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":"2026-08-23T06:30:58.430688+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":"2026-08-15T20:21:18.335897Z","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":"2026-08-15T20:21:18.378451Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.03887","last_updated":"2023-12-06T20:25:23Z","snapshot_observed_at":"2026-08-16T14:37:01.223528Z","submitted_at":"2023-12-06T20:25:23Z","title":"The necessity of the sausage-string structure for mode-locking regions of piecewise-linear maps","version":1},"cited_work":{"arxiv_id":"2312.03887","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.03887","snapshot_observed_at":"2026-08-15T20:21:18.378451Z","title":"The necessity of the sausage-string structure for mode-locking regions of piecewise-linear maps","venue":"math.DS","work_id":"18972f25-ff17-4951-a1cb-393cbb24176b","year":2023},"citing_paper":{"arxiv_id":"2505.13689","last_updated":"2025-05-19T19:45:27Z","snapshot_observed_at":"2026-08-15T20:09:06.103647Z","submitted_at":"2025-05-19T19:45:27Z","title":"Piecewise linear circle maps and conjugation to rigid rational rotations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T20:21:18.335897Z"},"links":{"cited_paper":"/paper/2312.03887","citing_paper":"/paper/2505.13689"},"observation_digest":"sha256:9c49c092426b20b1397ac1a22f2c931f1668ea427f4fb03ac547b5552f08fe3a","observation_id":"51a12385-6145-484b-9d33-ef37fb1ea951","resolution":{"observed_at":"2026-08-15T20:21:18.385521Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2312.03887/citation-record","integrity":"/paper/2312.03887/integrity","json":"/paper/2312.03887/citation-record.json","paper":"/paper/2312.03887"},"outbound":[],"paper":{"arxiv_id":"2312.03887","last_updated":"2023-12-06T20:25:23Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-16T14:37:01.223528Z","submitted_at":"2023-12-06T20:25:23Z","title":"The necessity of the sausage-string structure for mode-locking regions of piecewise-linear maps"},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2312.03887."}