{"as_of":"2026-08-14T19:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fd88b0714ac6e018309d9239ffd934e3a721f83ed0d0b0cb5818a600f5e31fd3","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":"2026-08-14T06:32:32.682623+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":"2026-08-08T13:59:06.762704Z","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":"2026-08-07T06:13:02.510764Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2203.03880","last_updated":"2024-09-03T21:30:28Z","snapshot_observed_at":"2026-08-13T16:27:45.577701Z","submitted_at":"2022-03-08T06:56:26Z","title":"Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.03880","snapshot_observed_at":"2026-08-08T13:59:06.762704Z","title":"Habegger, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.07100","last_updated":"2025-02-10T22:45:33Z","snapshot_observed_at":"2026-08-13T09:56:34.412152Z","submitted_at":"2025-02-10T22:45:33Z","title":"Counting matrices over finite rank multiplicative groups","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-08T13:59:06.762704Z"},"links":{"cited_paper":"/paper/2203.03880","citing_paper":"/paper/2502.07100"},"observation_digest":"sha256:ea68086fc0a6e2266a24f99fe81f56549a7d682c5fe072ba5096017dc1fc30ec","observation_id":"a86d868e-3e19-44aa-91d5-3da609a3164f","resolution":{"observed_at":"2026-08-08T13:59:06.762704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.03880","last_updated":"2024-09-03T21:30:28Z","snapshot_observed_at":"2026-08-13T16:27:45.577701Z","submitted_at":"2022-03-08T06:56:26Z","title":"Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices","version":5},"cited_work":{"arxiv_id":"2203.03880","doi":null,"metadata_source":"pith","pith_arxiv_id":"2203.03880","snapshot_observed_at":"2026-08-07T06:13:02.510764Z","title":"Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices","venue":"math.NT","work_id":"fb6ca555-15bb-4421-b738-850bff6071ef","year":2022},"citing_paper":{"arxiv_id":"2506.06463","last_updated":"2025-07-10T19:50:57Z","snapshot_observed_at":"2026-08-13T15:25:05.268688Z","submitted_at":"2025-06-06T18:34:27Z","title":"Galois groups of random integer matrices","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T06:13:02.238028Z"},"links":{"cited_paper":"/paper/2203.03880","citing_paper":"/paper/2506.06463"},"observation_digest":"sha256:4516037a8d91359c59313a17cba68ca8dd7500a528bce30635a5ee53be95bde8","observation_id":"ba4ccdd6-819f-4783-aaeb-922baa655395","resolution":{"observed_at":"2026-08-07T06:13:02.516868Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2203.03880/citation-record","integrity":"/paper/2203.03880/integrity","json":"/paper/2203.03880/citation-record.json","paper":"/paper/2203.03880"},"outbound":[],"paper":{"arxiv_id":"2203.03880","last_updated":"2024-09-03T21:30:28Z","latest_version":5,"primary_category":"math.NT","snapshot_observed_at":"2026-08-13T16:27:45.577701Z","submitted_at":"2022-03-08T06:56:26Z","title":"Integer matrices with a given characteristic polynomial and multiplicative dependence of matrices"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2203.03880."}