{"as_of":"2026-08-12T09:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1d277e5fa1e8ba640320b787b97cdd5adedfe9b87d46f98a03c4ce2361a13f76","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":"2026-08-12T06:34:41.77262+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":"2026-08-11T15:16:15.308322Z","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":"2026-08-11T15:16:15.895463Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2111.15299","last_updated":"2026-06-19T11:44:55Z","snapshot_observed_at":"2026-07-06T12:13:34.860050Z","submitted_at":"2021-11-30T11:25:11Z","title":"Quasitoposes as elementary quotient completions","version":4},"cited_work":{"arxiv_id":"2111.15299","doi":null,"metadata_source":"pith","pith_arxiv_id":"2111.15299","snapshot_observed_at":"2026-08-11T15:16:15.895463Z","title":"Quasitoposes as elementary quotient completions","venue":"math.LO","work_id":"4d87e960-770c-49fe-bd17-8fc1a32f140b","year":2021},"citing_paper":{"arxiv_id":"2412.11295","last_updated":"2024-12-15T20:05:47Z","snapshot_observed_at":"2026-08-12T07:46:01.776297Z","submitted_at":"2024-12-15T20:05:47Z","title":"The Relational Quotient Completion","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T15:16:15.308322Z"},"links":{"cited_paper":"/paper/2111.15299","citing_paper":"/paper/2412.11295"},"observation_digest":"sha256:aabc435b3e0b55db6f22002a299613dd94400519e4cb991b127265dfc0dfcf3c","observation_id":"6bd0ea8b-2298-40be-9010-e86e240de76e","resolution":{"observed_at":"2026-08-11T15:16:15.903675Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.15299","last_updated":"2026-06-19T11:44:55Z","snapshot_observed_at":"2026-07-06T12:13:34.860050Z","submitted_at":"2021-11-30T11:25:11Z","title":"Quasitoposes as elementary quotient completions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.15299","snapshot_observed_at":"2026-08-04T18:20:42.508039Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.01915","last_updated":"2026-08-03T08:48:11Z","snapshot_observed_at":"2026-08-07T09:45:51.512225Z","submitted_at":"2026-08-03T08:48:11Z","title":"Projective covers, doctrines of algebras and the relational quotient completion","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T18:20:42.508039Z"},"links":{"cited_paper":"/paper/2111.15299","citing_paper":"/paper/2608.01915"},"observation_digest":"sha256:e26828e8ce4e2cc47ce8aba7b37d03e6910a7673df1c766607ff9540a55dd4e5","observation_id":"e0d95bcf-5ca5-42e4-aec6-18da74b53916","resolution":{"observed_at":"2026-08-04T18:20:42.508039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2111.15299/citation-record","integrity":"/paper/2111.15299/integrity","json":"/paper/2111.15299/citation-record.json","paper":"/paper/2111.15299"},"outbound":[],"paper":{"arxiv_id":"2111.15299","last_updated":"2026-06-19T11:44:55Z","latest_version":4,"primary_category":"math.LO","snapshot_observed_at":"2026-07-06T12:13:34.860050Z","submitted_at":"2021-11-30T11:25:11Z","title":"Quasitoposes as elementary quotient completions"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2111.15299."}