{"as_of":"2026-08-20T22:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d6c975f17353fc4e4ce68ba2a3040cde28566506bea3041ca154e62ef9383ede","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":"2026-08-15T14:29:52.124541Z","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":"2026-08-15T14:29:52.395347Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1512.09045","last_updated":"2015-12-30T18:15:49Z","snapshot_observed_at":"2026-08-14T22:16:31.844788Z","submitted_at":"2015-12-30T18:15:49Z","title":"Boolean functions whose Fourier transform is concentrated on pairwise disjoint subsets of the input","version":1},"cited_work":{"arxiv_id":"1512.09045","doi":null,"metadata_source":"pith","pith_arxiv_id":"1512.09045","snapshot_observed_at":"2026-08-15T14:29:52.395347Z","title":"Boolean functions whose Fourier transform is concentrated on pairwise disjoint subsets of the input","venue":"math.PR","work_id":"24ffa4c0-fa51-4012-a716-104b6126e6e8","year":2015},"citing_paper":{"arxiv_id":"2608.11320","last_updated":"2026-08-11T18:12:14Z","snapshot_observed_at":"2026-08-18T13:53:01.793731Z","submitted_at":"2026-08-11T18:12:14Z","title":"An FKN Theorem for the Binary Grassmann Scheme","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-15T14:29:52.124541Z"},"links":{"cited_paper":"/paper/1512.09045","citing_paper":"/paper/2608.11320"},"observation_digest":"sha256:c53cca559e3c978ca8c501adba937fd3cb50f384e69fa2c4953199beed6dbba7","observation_id":"580b66ac-90d2-4c61-a9ee-67c65b1dde24","resolution":{"observed_at":"2026-08-15T14:29:52.401003Z","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/1512.09045/citation-record","integrity":"/paper/1512.09045/integrity","json":"/paper/1512.09045/citation-record.json","paper":"/paper/1512.09045"},"outbound":[],"paper":{"arxiv_id":"1512.09045","last_updated":"2015-12-30T18:15:49Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-14T22:16:31.844788Z","submitted_at":"2015-12-30T18:15:49Z","title":"Boolean functions whose Fourier transform is concentrated on pairwise disjoint subsets of the input"},"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:1512.09045."}