{"as_of":"2026-08-12T11:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0bf1623801592d677f66c48e6d4b3b720eee6f4465f75a8d7c55ab884f76173f","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":"2026-08-12T06:34:41.77262+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":"2026-05-15T16:42:25.266082Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-15T16:46:18.321770Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.09852","last_updated":"2024-05-21T07:40:49Z","snapshot_observed_at":"2026-08-12T06:34:43.876429Z","submitted_at":"2022-12-19T20:48:13Z","title":"A $q$-analog of the Markoff injectivity conjecture holds","version":4},"cited_work":{"arxiv_id":"2212.09852","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2212.09852","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Labb´ e, M","venue":null,"work_id":"53c0ccd9-69f7-4f73-ad07-989d58432376","year":2024},"citing_paper":{"arxiv_id":"2603.04295","last_updated":"2026-05-13T10:14:56Z","snapshot_observed_at":"2026-08-07T11:32:16.334881Z","submitted_at":"2026-03-04T17:12:06Z","title":"Plane geometry of $q$-rationals and Springborn Operations","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-15T16:42:25.266082Z"},"links":{"cited_paper":"/paper/2212.09852","citing_paper":"/paper/2603.04295"},"observation_digest":"sha256:719950a0e72108a20f9f91f4fcdedfea088b01460c00641f6562ad892c0c2474","observation_id":"76b104d8-4392-4899-8009-f85dc0bf5e13","resolution":{"observed_at":"2026-05-15T16:46:18.325350Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2212.09852/citation-record","integrity":"/paper/2212.09852/integrity","json":"/paper/2212.09852/citation-record.json","paper":"/paper/2212.09852"},"outbound":[],"paper":{"arxiv_id":"2212.09852","last_updated":"2024-05-21T07:40:49Z","latest_version":4,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T06:34:43.876429Z","submitted_at":"2022-12-19T20:48:13Z","title":"A $q$-analog of the Markoff injectivity conjecture holds"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2212.09852."}