{"as_of":"2026-08-12T22:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:419759e2d628c63bed3c912bd694ce64d1a9d27fc8e0a3e73c07721236effa8a","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":"2026-08-06T21:30:02.145737Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.12127","last_updated":"2024-06-17T22:18:04Z","snapshot_observed_at":"2026-08-11T16:43:50.296378Z","submitted_at":"2024-06-17T22:18:04Z","title":"Invertible cells in $\\omega$-categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.12127","snapshot_observed_at":"2026-08-06T21:30:02.145737Z","title":"Benjamin and I","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.00146","last_updated":"2025-06-30T18:01:57Z","snapshot_observed_at":"2026-08-12T14:57:38.996008Z","submitted_at":"2025-06-30T18:01:57Z","title":"Semi-strictification of $(\\infty, n)$-categories","version":1},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:02.145737Z"},"links":{"cited_paper":"/paper/2406.12127","citing_paper":"/paper/2507.00146"},"observation_digest":"sha256:8c0c9a65adfe9f01bf6d99cc350a2bb5dc51a3bd8bc703a76485ef94bb6f9c9a","observation_id":"acd486e9-742b-444f-a7f2-e72991bc0dd6","resolution":{"observed_at":"2026-08-06T21:30:02.145737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.12127","last_updated":"2024-06-17T22:18:04Z","snapshot_observed_at":"2026-08-11T16:43:50.296378Z","submitted_at":"2024-06-17T22:18:04Z","title":"Invertible cells in $\\omega$-categories","version":1},"cited_work":{"arxiv_id":"2406.12127","doi":"10.48550/arxiv.2406.12127","metadata_source":"arxiv_reference","pith_arxiv_id":"2406.12127","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Benjamin, I","venue":"arXiv (Cornell University)","work_id":"ad9025db-30fe-4ffa-b273-cefe9711a261","year":2024},"citing_paper":{"arxiv_id":"2606.30254","last_updated":"2026-06-29T13:03:18Z","snapshot_observed_at":"2026-08-11T10:52:05.586747Z","submitted_at":"2026-06-29T13:03:18Z","title":"Computads with invertible generators for weak {\\omega}-categories","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-30T03:16:16.521884Z"},"links":{"cited_paper":"/paper/2406.12127","citing_paper":"/paper/2606.30254"},"observation_digest":"sha256:07e1378a23e3ff2e934d4fcecfc9ad88604541f0badf5662a0931b7ee0beaa1f","observation_id":"c3c31a8d-bc49-44e2-9b9e-b9cc5ac174ec","resolution":{"observed_at":"2026-06-30T03:24:12.220005Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2406.12127/citation-record","integrity":"/paper/2406.12127/integrity","json":"/paper/2406.12127/citation-record.json","paper":"/paper/2406.12127"},"outbound":[],"paper":{"arxiv_id":"2406.12127","last_updated":"2024-06-17T22:18:04Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-11T16:43:50.296378Z","submitted_at":"2024-06-17T22:18:04Z","title":"Invertible cells in $\\omega$-categories"},"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:2406.12127."}