{"as_of":"2026-08-13T10:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d61c0ff3435fbb351bb28d20ec3fd143f987156f735734f9d6ef3a92f55126b","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":"2026-08-13T06:32:02.005865+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":"2026-08-06T16:56:55.343531Z","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":"2026-08-06T16:56:55.987101Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2211.01578","last_updated":"2024-06-25T01:03:48Z","snapshot_observed_at":"2026-08-12T04:11:08.171980Z","submitted_at":"2022-11-03T04:18:18Z","title":"Pieri-type multiplication formula for quantum Grothendieck polynomials","version":4},"cited_work":{"arxiv_id":"2211.01578","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.01578","snapshot_observed_at":"2026-08-06T16:56:55.987101Z","title":"Pieri-type multiplication formula for quantum Grothendieck polynomials","venue":"math.QA","work_id":"81722335-a5e9-4f91-a495-adabea98bd5d","year":2022},"citing_paper":{"arxiv_id":"2507.12351","last_updated":"2025-07-16T15:49:26Z","snapshot_observed_at":"2026-08-09T13:03:46.278760Z","submitted_at":"2025-07-16T15:49:26Z","title":"Toward quantum Pieri rule for $F\\ell_n$ via Seidel representation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T16:56:55.343531Z"},"links":{"cited_paper":"/paper/2211.01578","citing_paper":"/paper/2507.12351"},"observation_digest":"sha256:30fbbdd360c1e1d3c302346bff00970a244e57bae9c1f69cd948f5e5990a754a","observation_id":"b52ac75b-963c-4cb0-ae02-5e1c6c009384","resolution":{"observed_at":"2026-08-06T16:56:56.047551Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2211.01578/citation-record","integrity":"/paper/2211.01578/integrity","json":"/paper/2211.01578/citation-record.json","paper":"/paper/2211.01578"},"outbound":[],"paper":{"arxiv_id":"2211.01578","last_updated":"2024-06-25T01:03:48Z","latest_version":4,"primary_category":"math.QA","snapshot_observed_at":"2026-08-12T04:11:08.171980Z","submitted_at":"2022-11-03T04:18:18Z","title":"Pieri-type multiplication formula for quantum Grothendieck 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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2211.01578."}