{"as_of":"2026-08-10T02:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6b8e32852cfbfb6307879a91437d51d4f2c10306a7ddf58d369141bf8b256002","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":"2026-08-09T06:31:02.800959+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":"2026-06-29T09:20:47.678692Z","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":"2026-06-29T09:23:16.072076Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1612.04561","last_updated":"2019-11-14T16:25:32Z","snapshot_observed_at":"2026-07-06T05:22:39.584532Z","submitted_at":"2016-12-14T10:19:53Z","title":"Eilenberg-Watts calculus for finite categories and a bimodule Radford $S^4$ theorem","version":3},"cited_work":{"arxiv_id":"1612.04561","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1612.04561","snapshot_observed_at":"2026-06-29T09:23:16.072076Z","title":"[GKP22] Nathan Geer, Jonathan Kujawa, and Bertrand Patureau-Mirand","venue":null,"work_id":"c90c5c7d-b1de-4a88-b042-c4d3757a7b1d","year":2022},"citing_paper":{"arxiv_id":"2605.28650","last_updated":"2026-05-27T15:53:18Z","snapshot_observed_at":"2026-08-09T13:50:27.891867Z","submitted_at":"2026-05-27T15:53:18Z","title":"String nets for twisted pivotal categories","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T09:20:47.678692Z"},"links":{"cited_paper":"/paper/1612.04561","citing_paper":"/paper/2605.28650"},"observation_digest":"sha256:0f217a55be89a15a68444e8c8c8f1be96cef39b9af254e8c07cf78dc2f4d855e","observation_id":"76d73540-2310-4e45-9f07-5a7a1e8cb464","resolution":{"observed_at":"2026-06-29T09:23:16.073728Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1612.04561/citation-record","integrity":"/paper/1612.04561/integrity","json":"/paper/1612.04561/citation-record.json","paper":"/paper/1612.04561"},"outbound":[],"paper":{"arxiv_id":"1612.04561","last_updated":"2019-11-14T16:25:32Z","latest_version":3,"primary_category":"math.RT","snapshot_observed_at":"2026-07-06T05:22:39.584532Z","submitted_at":"2016-12-14T10:19:53Z","title":"Eilenberg-Watts calculus for finite categories and a bimodule Radford $S^4$ theorem"},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1612.04561."}