{"as_of":"2026-08-20T06:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dbc60c920d49102bd5e65366bb36d4c6288f3e901b01e3a9f6547d245e7ec05a","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":"2026-08-19T06:32:44.657259+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":"2026-05-13T16:46:16.073538Z","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":"2026-05-13T16:48:03.002957Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2201.12316","last_updated":"2022-02-28T21:31:06Z","snapshot_observed_at":"2026-08-16T17:25:09.589798Z","submitted_at":"2022-01-28T18:30:18Z","title":"(Hurwitz-)Brill-Noether general marked graphs via the Demazure product","version":2},"cited_work":{"arxiv_id":"2201.12316","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2201.12316","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"65f6419d-6813-461a-a94b-faa66786fdad","year":2021},"citing_paper":{"arxiv_id":"2604.03895","last_updated":"2026-04-04T23:38:15Z","snapshot_observed_at":"2026-07-06T22:52:57.182669Z","submitted_at":"2026-04-04T23:38:15Z","title":"Transmission permutations and Demazure products in Hurwitz--Brill--Noether theory","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-13T16:46:16.073538Z"},"links":{"cited_paper":"/paper/2201.12316","citing_paper":"/paper/2604.03895"},"observation_digest":"sha256:f6631de81fb4e23bfee88f76d9c79c7b22a592e4864e2f835f99663f4a27f7ba","observation_id":"d859d00c-00e0-4acb-b712-6eeb105bdc9b","resolution":{"observed_at":"2026-05-13T16:48:03.004611Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2201.12316/citation-record","integrity":"/paper/2201.12316/integrity","json":"/paper/2201.12316/citation-record.json","paper":"/paper/2201.12316"},"outbound":[],"paper":{"arxiv_id":"2201.12316","last_updated":"2022-02-28T21:31:06Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-16T17:25:09.589798Z","submitted_at":"2022-01-28T18:30:18Z","title":"(Hurwitz-)Brill-Noether general marked graphs via the Demazure product"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2201.12316."}