{"as_of":"2026-08-15T21:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9469f11b2c1b3f12edb739c9bbad9e0f473748da9251899811332b44e7550f58","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":"2026-08-15T06:32:42.880941+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":"2026-08-05T00:55:37.260773Z","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":"2026-08-05T00:55:41.723403Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1505.00287","last_updated":"2015-07-27T09:41:51Z","snapshot_observed_at":"2026-08-14T22:50:09.220439Z","submitted_at":"2015-05-01T21:55:25Z","title":"Matrix product formula for Macdonald polynomials","version":2},"cited_work":{"arxiv_id":"1505.00287","doi":null,"metadata_source":"pith","pith_arxiv_id":"1505.00287","snapshot_observed_at":"2026-08-05T00:55:41.723403Z","title":"Matrix product formula for Macdonald polynomials","venue":"math-ph","work_id":"c0eea001-2c22-41eb-84ea-8aa0986467d6","year":2015},"citing_paper":{"arxiv_id":"2608.02810","last_updated":"2026-08-03T19:05:42Z","snapshot_observed_at":"2026-08-15T02:16:55.983187Z","submitted_at":"2026-08-03T19:05:42Z","title":"Formulas for Koornwinder polynomials","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T00:55:37.260773Z"},"links":{"cited_paper":"/paper/1505.00287","citing_paper":"/paper/2608.02810"},"observation_digest":"sha256:e1be9f3f3951ce9fc896c54f733806232ac046b2b8a6777f62b95a5c7fe46a5a","observation_id":"71d4ae38-52dc-429f-8af5-e6671340dcd5","resolution":{"observed_at":"2026-08-05T00:55:41.785599Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1505.00287/citation-record","integrity":"/paper/1505.00287/integrity","json":"/paper/1505.00287/citation-record.json","paper":"/paper/1505.00287"},"outbound":[],"paper":{"arxiv_id":"1505.00287","last_updated":"2015-07-27T09:41:51Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-14T22:50:09.220439Z","submitted_at":"2015-05-01T21:55:25Z","title":"Matrix product formula for Macdonald polynomials"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1505.00287."}