{"as_of":"2026-08-13T14:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e117d0ab6a12a9bbdb34d1de0aa67af7698c4713fc94a1f79fdb71227e806e60","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":"2026-08-11T00:06:16.198766Z","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":"2026-08-11T00:06:46.679480Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2407.12452","last_updated":"2025-07-17T04:08:11Z","snapshot_observed_at":"2026-08-12T23:20:28.722661Z","submitted_at":"2024-07-17T10:00:41Z","title":"A two-sorted theory of nilpotent Lie algebras","version":2},"cited_work":{"arxiv_id":"2407.12452","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.12452","snapshot_observed_at":"2026-08-11T00:06:46.679480Z","title":"A two-sorted theory of nilpotent Lie algebras","venue":"math.LO","work_id":"4287ce0b-d596-4b57-9edc-2746f2c4c354","year":2024},"citing_paper":{"arxiv_id":"2412.19921","last_updated":"2025-03-29T20:42:17Z","snapshot_observed_at":"2026-08-11T05:22:55.476613Z","submitted_at":"2024-12-27T21:00:57Z","title":"On n-dependent groups and fields III. Multilinear forms and invariant connected components","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T00:06:16.198766Z"},"links":{"cited_paper":"/paper/2407.12452","citing_paper":"/paper/2412.19921"},"observation_digest":"sha256:54fb6973cbab888f384ebceda1026fe3c639fae385eccfb9c921e005b935cfc2","observation_id":"d4010eb8-20e1-43c6-b441-b05270212bab","resolution":{"observed_at":"2026-08-11T00:06:46.684828Z","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/2407.12452/citation-record","integrity":"/paper/2407.12452/integrity","json":"/paper/2407.12452/citation-record.json","paper":"/paper/2407.12452"},"outbound":[],"paper":{"arxiv_id":"2407.12452","last_updated":"2025-07-17T04:08:11Z","latest_version":2,"primary_category":"math.LO","snapshot_observed_at":"2026-08-12T23:20:28.722661Z","submitted_at":"2024-07-17T10:00:41Z","title":"A two-sorted theory of nilpotent Lie algebras"},"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:2407.12452."}