{"as_of":"2026-08-08T09:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3588fcab980a63c353a8f50c4fc3ed0d1c5e177e295cd397bdca5435c551087e","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T05:19:30.161964Z","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":"2026-08-07T05:19:30.611030Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1901.07921","last_updated":"2020-03-17T20:46:17Z","snapshot_observed_at":"2026-08-03T11:42:22.181128Z","submitted_at":"2019-01-23T14:42:49Z","title":"Enveloping Classes over Commutative Rings","version":2},"cited_work":{"arxiv_id":"1901.07921","doi":null,"metadata_source":"pith","pith_arxiv_id":"1901.07921","snapshot_observed_at":"2026-08-07T05:19:30.611030Z","title":"Enveloping Classes over Commutative Rings","venue":"math.AC","work_id":"d3896403-65d3-4259-878a-1d3ecdda324e","year":2019},"citing_paper":{"arxiv_id":"2506.08685","last_updated":"2025-07-29T13:55:27Z","snapshot_observed_at":"2026-08-07T05:02:11.423679Z","submitted_at":"2025-06-10T10:50:36Z","title":"A torsion theoretic interpretation for sheaves of modules and Grothendieck topologies on directed categories","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:19:30.161964Z"},"links":{"cited_paper":"/paper/1901.07921","citing_paper":"/paper/2506.08685"},"observation_digest":"sha256:6f81496ece0a460931e9d93c824f67527bcd5496bdc859d964d89b202fcdd95f","observation_id":"c6404502-b027-451a-b116-23a7f29263d3","resolution":{"observed_at":"2026-08-07T05:19:30.614921Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1901.07921/citation-record","integrity":"/paper/1901.07921/integrity","json":"/paper/1901.07921/citation-record.json","paper":"/paper/1901.07921"},"outbound":[],"paper":{"arxiv_id":"1901.07921","last_updated":"2020-03-17T20:46:17Z","latest_version":2,"primary_category":"math.AC","snapshot_observed_at":"2026-08-03T11:42:22.181128Z","submitted_at":"2019-01-23T14:42:49Z","title":"Enveloping Classes over Commutative 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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1901.07921."}