{"as_of":"2026-08-20T12:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:84f5818e8ef5bb95a97b76ccb962b1bce5e2469af0360dbfb248c16f52250212","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":"2026-08-20T06:33:59.587034+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":"2026-08-06T19:33:14.523162Z","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":"2026-08-06T19:33:15.592779Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1511.00773","last_updated":"2018-03-03T21:30:16Z","snapshot_observed_at":"2026-08-14T22:25:08.238487Z","submitted_at":"2015-11-03T04:05:29Z","title":"Unit Interval Orders and the Dot Action on the Cohomology of Regular Semisimple Hessenberg Varieties","version":3},"cited_work":{"arxiv_id":"1511.00773","doi":null,"metadata_source":"pith","pith_arxiv_id":"1511.00773","snapshot_observed_at":"2026-08-06T19:33:15.592779Z","title":"Unit Interval Orders and the Dot Action on the Cohomology of Regular Semisimple Hessenberg Varieties","venue":"math.AG","work_id":"0a56bdda-8adb-447f-abc4-e1be46d61127","year":2015},"citing_paper":{"arxiv_id":"2507.05614","last_updated":"2025-07-08T02:50:35Z","snapshot_observed_at":"2026-08-07T09:48:52.183744Z","submitted_at":"2025-07-08T02:50:35Z","title":"Divided difference operators for Hessenberg representations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:33:14.523162Z"},"links":{"cited_paper":"/paper/1511.00773","citing_paper":"/paper/2507.05614"},"observation_digest":"sha256:c1e2bc028ce8e55d3a2efffe821e5bbebcec13ad13b065a520b1df947e301680","observation_id":"8c875fee-7f38-49c1-aa1d-059a72183620","resolution":{"observed_at":"2026-08-06T19:33:15.595969Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1511.00773/citation-record","integrity":"/paper/1511.00773/integrity","json":"/paper/1511.00773/citation-record.json","paper":"/paper/1511.00773"},"outbound":[],"paper":{"arxiv_id":"1511.00773","last_updated":"2018-03-03T21:30:16Z","latest_version":3,"primary_category":"math.AG","snapshot_observed_at":"2026-08-14T22:25:08.238487Z","submitted_at":"2015-11-03T04:05:29Z","title":"Unit Interval Orders and the Dot Action on the Cohomology of Regular Semisimple Hessenberg Varieties"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1511.00773."}