{"as_of":"2026-08-22T13:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e22d0b5cb2b53ac29e7598390f4d401aa8936ea2f09c3584bd372684f4dfa989","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":"2026-08-22T06:32:14.747728+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":"2026-08-16T00:38:38.138852Z","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":"2026-08-16T00:38:38.959057Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1010.3455","last_updated":"2011-03-04T23:26:56Z","snapshot_observed_at":"2026-08-15T05:05:38.649082Z","submitted_at":"2010-10-17T22:29:13Z","title":"On the representation theory of finite J-trivial monoids","version":3},"cited_work":{"arxiv_id":"1010.3455","doi":null,"metadata_source":"pith","pith_arxiv_id":"1010.3455","snapshot_observed_at":"2026-08-16T00:38:38.959057Z","title":"On the representation theory of finite J-trivial monoids","venue":"math.RT","work_id":"f3e6ada1-01e4-4f52-beaa-51a8fe7aa5ae","year":2010},"citing_paper":{"arxiv_id":"2608.11909","last_updated":"2026-08-12T10:37:21Z","snapshot_observed_at":"2026-08-19T01:05:04.886866Z","submitted_at":"2026-08-12T10:37:21Z","title":"Disentangling the Expressivity of RoPE","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-16T00:38:38.138852Z"},"links":{"cited_paper":"/paper/1010.3455","citing_paper":"/paper/2608.11909"},"observation_digest":"sha256:1ddf8ce9d77dffb6a9b782becd491a97ccdadd41bd4bcdd2d3096a43bb181640","observation_id":"d0b5517a-5b76-4639-9b18-23f0da94dea3","resolution":{"observed_at":"2026-08-16T00:38:38.966076Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1010.3455/citation-record","integrity":"/paper/1010.3455/integrity","json":"/paper/1010.3455/citation-record.json","paper":"/paper/1010.3455"},"outbound":[],"paper":{"arxiv_id":"1010.3455","last_updated":"2011-03-04T23:26:56Z","latest_version":3,"primary_category":"math.RT","snapshot_observed_at":"2026-08-15T05:05:38.649082Z","submitted_at":"2010-10-17T22:29:13Z","title":"On the representation theory of finite J-trivial monoids"},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1010.3455."}