{"as_of":"2026-08-09T03:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e4702d13c8759403a5b29b602a24750a6419183ea4df8ad1d28e0597568a8bbb","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":"2026-08-08T06:32:00.761636+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":"2026-08-06T17:45:14.193283Z","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":"2026-08-06T17:45:21.096969Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2307.15726","last_updated":"2024-01-05T08:01:02Z","snapshot_observed_at":"2026-07-06T16:00:00.278754Z","submitted_at":"2023-07-28T17:18:25Z","title":"Subexpressions and the Bruhat order for double cosets","version":2},"cited_work":{"arxiv_id":"2307.15726","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.15726","snapshot_observed_at":"2026-08-06T17:45:21.096969Z","title":"Subexpressions and the Bruhat order for double cosets","venue":"math.CO","work_id":"4c92b0f2-00d3-45b0-b05d-93cc37163a61","year":2023},"citing_paper":{"arxiv_id":"2507.10061","last_updated":"2025-07-14T08:46:44Z","snapshot_observed_at":"2026-08-08T06:46:26.449212Z","submitted_at":"2025-07-14T08:46:44Z","title":"Idempotents, traces, and dimensions in Hecke categories","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T17:45:14.193283Z"},"links":{"cited_paper":"/paper/2307.15726","citing_paper":"/paper/2507.10061"},"observation_digest":"sha256:b24b312a0ad64d2bedf61ae2a332d520837b8a0f85bdd97cc8002cb4d7e316e6","observation_id":"54a36d42-1898-4113-8158-c0393674b755","resolution":{"observed_at":"2026-08-06T17:45:21.100458Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2307.15726/citation-record","integrity":"/paper/2307.15726/integrity","json":"/paper/2307.15726/citation-record.json","paper":"/paper/2307.15726"},"outbound":[],"paper":{"arxiv_id":"2307.15726","last_updated":"2024-01-05T08:01:02Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T16:00:00.278754Z","submitted_at":"2023-07-28T17:18:25Z","title":"Subexpressions and the Bruhat order for double cosets"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2307.15726."}