{"as_of":"2026-08-23T17:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d393288826693104dadc5435bef41499f418253046322ba0866595266c52fdbb","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:07:31.146686Z","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":"2026-08-05T20:43:38.922906Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.04086","last_updated":"2025-03-06T04:48:10Z","snapshot_observed_at":"2026-08-16T12:52:38.895011Z","submitted_at":"2025-03-06T04:48:10Z","title":"On gcd-graphs over finite rings","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.04086","snapshot_observed_at":"2026-08-06T19:07:31.146686Z","title":"Nguyen and Nguyen Duy T ˆan,On gcd-graphs over finite rings, arXiv preprint arXiv:2503.04086 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.06873","last_updated":"2025-07-09T14:12:39Z","snapshot_observed_at":"2026-08-13T05:12:58.299217Z","submitted_at":"2025-07-09T14:12:39Z","title":"On divisibility relation graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:07:31.146686Z"},"links":{"cited_paper":"/paper/2503.04086","citing_paper":"/paper/2507.06873"},"observation_digest":"sha256:431b412b161443b31044505f66ea5433390c0a85523c3a70be32ba4e42e658cc","observation_id":"995de64d-c7bc-4cda-9e91-5b5513fd1f54","resolution":{"observed_at":"2026-08-06T19:07:31.146686Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.04086","last_updated":"2025-03-06T04:48:10Z","snapshot_observed_at":"2026-08-16T12:52:38.895011Z","submitted_at":"2025-03-06T04:48:10Z","title":"On gcd-graphs over finite rings","version":1},"cited_work":{"arxiv_id":"2503.04086","doi":null,"metadata_source":"pith","pith_arxiv_id":"2503.04086","snapshot_observed_at":"2026-08-05T20:43:38.922906Z","title":"On gcd-graphs over finite rings","venue":"math.NT","work_id":"66279f4c-5525-4311-8358-7a27ecb6fb91","year":2025},"citing_paper":{"arxiv_id":"2508.10348","last_updated":"2025-08-14T05:11:30Z","snapshot_observed_at":"2026-08-18T18:36:54.350382Z","submitted_at":"2025-08-14T05:11:30Z","title":"Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T20:43:38.795548Z"},"links":{"cited_paper":"/paper/2503.04086","citing_paper":"/paper/2508.10348"},"observation_digest":"sha256:15136ccc8929f302598f28551e7d9a32239589f940af67545e7bbf04359f2cc9","observation_id":"70f308c7-858f-41d4-98d4-b38f748a0ad7","resolution":{"observed_at":"2026-08-05T20:43:38.929920Z","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/2503.04086/citation-record","integrity":"/paper/2503.04086/integrity","json":"/paper/2503.04086/citation-record.json","paper":"/paper/2503.04086"},"outbound":[],"paper":{"arxiv_id":"2503.04086","last_updated":"2025-03-06T04:48:10Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-16T12:52:38.895011Z","submitted_at":"2025-03-06T04:48:10Z","title":"On gcd-graphs over finite rings"},"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 2 inbound Pith citation observations for arXiv:2503.04086."}