{"as_of":"2026-08-13T10:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:876d1b954a32b0163af9d7a9e2b5560737ccf5a36417ba64b9f872a803c072f7","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":"2026-08-13T06:32:02.005865+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":"2026-08-12T13:18:21.099582Z","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":"2026-08-12T18:16:22.223912Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1905.08117","last_updated":"2024-01-30T13:40:33Z","snapshot_observed_at":"2026-07-06T07:54:10.798256Z","submitted_at":"2019-05-20T13:59:44Z","title":"The syzygy theorem for B\\'ezout rings","version":4},"cited_work":{"arxiv_id":"1905.08117","doi":"10.48550/arxiv.1905.08117","metadata_source":"pith","pith_arxiv_id":"1905.08117","snapshot_observed_at":"2026-08-12T18:16:22.223912Z","title":"The syzygy theorem for B\\'ezout rings","venue":"math.AC","work_id":"f80d0ef4-913d-48c1-872e-33f74ecbe9c3","year":2019},"citing_paper":{"arxiv_id":"2411.16460","last_updated":"2024-11-25T15:05:46Z","snapshot_observed_at":"2026-08-12T13:03:10.177095Z","submitted_at":"2024-11-25T15:05:46Z","title":"Generalised Buchberger and Schreyer algorithms for strongly discrete coherent rings","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T13:18:21.099582Z"},"links":{"cited_paper":"/paper/1905.08117","citing_paper":"/paper/2411.16460"},"observation_digest":"sha256:3afde8c979f33d337dfc7f6f2c8d24bbd554abc47bfb628be35491cf0e2e21dd","observation_id":"6758508c-9b2e-4ccc-b792-449e170410e8","resolution":{"observed_at":"2026-08-12T13:18:21.754596Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1905.08117/citation-record","integrity":"/paper/1905.08117/integrity","json":"/paper/1905.08117/citation-record.json","paper":"/paper/1905.08117"},"outbound":[],"paper":{"arxiv_id":"1905.08117","last_updated":"2024-01-30T13:40:33Z","latest_version":4,"primary_category":"math.AC","snapshot_observed_at":"2026-07-06T07:54:10.798256Z","submitted_at":"2019-05-20T13:59:44Z","title":"The syzygy theorem for B\\'ezout 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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1905.08117."}