{"as_of":"2026-08-07T22:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7cf9b559d71ea7bcc6a9f04c66ec5418e3fef2750ae51cefe0ac4ee15c265006","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":"2026-08-07T06:34:17.273281+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":"2026-08-06T22:01:29.880663Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-22T21:22:09.669235Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2204.13790","last_updated":"2023-05-04T21:56:23Z","snapshot_observed_at":"2026-08-06T04:33:59.824763Z","submitted_at":"2022-04-28T21:36:22Z","title":"Semi-equational theories","version":2},"cited_work":{"arxiv_id":"2204.13790","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.13790","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chernikov and A","venue":null,"work_id":"d60838af-f199-4bd8-92a3-1574cf136723","year":2022},"citing_paper":{"arxiv_id":"2504.05566","last_updated":"2026-06-16T12:38:35Z","snapshot_observed_at":"2026-08-07T16:07:45.691710Z","submitted_at":"2025-04-07T23:47:12Z","title":"Trace definability I: preservation and characterizations","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-22T21:19:43.962194Z"},"links":{"cited_paper":"/paper/2204.13790","citing_paper":"/paper/2504.05566"},"observation_digest":"sha256:e9dec3b0e645c4baa2a7de90f6bf10df82cfb7d5dc56a23cfc1ca1047194c576","observation_id":"9cfd0ea3-96f8-4944-888d-89764cf6e751","resolution":{"observed_at":"2026-05-22T21:22:09.671766Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.13790","last_updated":"2023-05-04T21:56:23Z","snapshot_observed_at":"2026-08-06T04:33:59.824763Z","submitted_at":"2022-04-28T21:36:22Z","title":"Semi-equational theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.13790","snapshot_observed_at":"2026-08-06T22:01:29.880663Z","title":"Semi-equational theories","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.23265","last_updated":"2025-06-29T14:38:11Z","snapshot_observed_at":"2026-08-06T21:45:07.351715Z","submitted_at":"2025-06-29T14:38:11Z","title":"Externally definable fsg groups in NIP theories","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:01:29.880663Z"},"links":{"cited_paper":"/paper/2204.13790","citing_paper":"/paper/2506.23265"},"observation_digest":"sha256:b83f6c97242773d91e0c348c77ce0ae5ce890a4b9566c46d93c0465066e8cc66","observation_id":"2b8691d0-6ba7-4b72-9149-75d7df4c9ccf","resolution":{"observed_at":"2026-08-06T22:01:29.880663Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2204.13790/citation-record","integrity":"/paper/2204.13790/integrity","json":"/paper/2204.13790/citation-record.json","paper":"/paper/2204.13790"},"outbound":[],"paper":{"arxiv_id":"2204.13790","last_updated":"2023-05-04T21:56:23Z","latest_version":2,"primary_category":"math.LO","snapshot_observed_at":"2026-08-06T04:33:59.824763Z","submitted_at":"2022-04-28T21:36:22Z","title":"Semi-equational theories"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2204.13790."}