{"as_of":"2026-08-09T06:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3b524c4c6b1dab3c27a7edb352532e804cd21165d25098e70e45eff67769c1de","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":"2026-08-07T05:22:07.245176Z","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":"2026-08-07T05:22:07.293701Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.06633","last_updated":"2025-03-18T13:52:43Z","snapshot_observed_at":"2026-07-06T20:04:01.034597Z","submitted_at":"2024-12-09T16:23:54Z","title":"$k$-Adjoint of Hyperplane Arrangements","version":2},"cited_work":{"arxiv_id":"2412.06633","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.06633","snapshot_observed_at":"2026-08-07T05:22:07.293701Z","title":"$k$-Adjoint of Hyperplane Arrangements","venue":"math.CO","work_id":"d7bf8e05-51fe-40f2-aa6a-8cbf05b5cc09","year":2024},"citing_paper":{"arxiv_id":"2506.08539","last_updated":"2025-06-10T08:04:33Z","snapshot_observed_at":"2026-08-07T19:54:58.373895Z","submitted_at":"2025-06-10T08:04:33Z","title":"A decomposition of Grassmannian associated with a hyperplane arrangement","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:22:07.245176Z"},"links":{"cited_paper":"/paper/2412.06633","citing_paper":"/paper/2506.08539"},"observation_digest":"sha256:18ce841a2a13c1891494d3f43132ebf8a2fe0ac17a78d28cde24e197de98ab1a","observation_id":"10a2158e-0c9b-4547-a8c5-d6cf0ac57a61","resolution":{"observed_at":"2026-08-07T05:22:07.299430Z","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/2412.06633/citation-record","integrity":"/paper/2412.06633/integrity","json":"/paper/2412.06633/citation-record.json","paper":"/paper/2412.06633"},"outbound":[],"paper":{"arxiv_id":"2412.06633","last_updated":"2025-03-18T13:52:43Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T20:04:01.034597Z","submitted_at":"2024-12-09T16:23:54Z","title":"$k$-Adjoint of Hyperplane Arrangements"},"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:2412.06633."}