{"as_of":"2026-08-22T19:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aae0202266432d8f087de4ef5011bf87e2ba9ebd174c011db9fef4ff7345b3ef","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":"2026-08-22T06:32:14.747728+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":"2026-08-15T18:47:38.880681Z","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":"2026-08-15T18:47:39.141405Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.03590","last_updated":"2022-09-08T06:27:38Z","snapshot_observed_at":"2026-08-22T18:23:03.216842Z","submitted_at":"2022-09-08T06:27:38Z","title":"Volumes of spheres and special values of zeta functions of $\\mathbb{Z}$ and $\\mathbb{Z}/n\\mathbb{Z}$","version":1},"cited_work":{"arxiv_id":"2209.03590","doi":null,"metadata_source":"pith","pith_arxiv_id":"2209.03590","snapshot_observed_at":"2026-08-15T18:47:39.141405Z","title":"Volumes of spheres and special values of zeta functions of $\\mathbb{Z}$ and $\\mathbb{Z}/n\\mathbb{Z}$","venue":"math.NT","work_id":"5701e663-12e5-44cc-94f4-161ed7f332f7","year":2022},"citing_paper":{"arxiv_id":"2506.19123","last_updated":"2025-06-23T20:51:11Z","snapshot_observed_at":"2026-08-18T13:26:53.112526Z","submitted_at":"2025-06-23T20:51:11Z","title":"The longest increasing subsequence of Brownian separable permutons","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-15T18:47:38.880681Z"},"links":{"cited_paper":"/paper/2209.03590","citing_paper":"/paper/2506.19123"},"observation_digest":"sha256:90ea3ea96a93753198f3805304e1c17dd3e1754556718aa5b057095e17a846fe","observation_id":"5d7070ee-ee37-4461-971e-c5dfa1e3a376","resolution":{"observed_at":"2026-08-15T18:47:39.148827Z","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/2209.03590/citation-record","integrity":"/paper/2209.03590/integrity","json":"/paper/2209.03590/citation-record.json","paper":"/paper/2209.03590"},"outbound":[],"paper":{"arxiv_id":"2209.03590","last_updated":"2022-09-08T06:27:38Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-22T18:23:03.216842Z","submitted_at":"2022-09-08T06:27:38Z","title":"Volumes of spheres and special values of zeta functions of $\\mathbb{Z}$ and $\\mathbb{Z}/n\\mathbb{Z}$"},"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":"2026-08-22T06:32:14.747728+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 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2209.03590."}