{"as_of":"2026-08-08T08:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5119f88909afc51a1f4c4c104645d8411f5c7a2050e6991fcd1d90372f675ffd","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:46:17.371064Z","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":"2026-08-06T22:11:29.909608Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.17505","last_updated":"2025-01-29T09:22:57Z","snapshot_observed_at":"2026-08-04T19:44:27.344868Z","submitted_at":"2025-01-29T09:22:57Z","title":"The Fourier transform is an extremizer of a class of bounded operators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.17505","snapshot_observed_at":"2026-08-07T05:46:17.371064Z","title":"Saucedo and S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.07478","last_updated":"2025-06-09T06:51:29Z","snapshot_observed_at":"2026-08-07T05:30:25.052889Z","submitted_at":"2025-06-09T06:51:29Z","title":"On Herz-Bochkarev limiting problem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:46:17.371064Z"},"links":{"cited_paper":"/paper/2501.17505","citing_paper":"/paper/2506.07478"},"observation_digest":"sha256:bf00418f9a4f60fb48d5a5d880a9e793325f7c23a3498c1c8e8f55baf7d989c8","observation_id":"c349a76a-09a0-4c6a-952e-1549ab295ce6","resolution":{"observed_at":"2026-08-07T05:46:17.371064Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.17505","last_updated":"2025-01-29T09:22:57Z","snapshot_observed_at":"2026-08-04T19:44:27.344868Z","submitted_at":"2025-01-29T09:22:57Z","title":"The Fourier transform is an extremizer of a class of bounded operators","version":1},"cited_work":{"arxiv_id":"2501.17505","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.17505","snapshot_observed_at":"2026-08-06T22:11:29.909608Z","title":"The Fourier transform is an extremizer of a class of bounded operators","venue":"math.CA","work_id":"b2097a97-5964-4184-9ce8-e4b016457431","year":2025},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.304961Z"},"links":{"cited_paper":"/paper/2501.17505","citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:7f1395add8c5f9c0c97dbb508086ee70e78e9505fdd26079406c07d523f6e908","observation_id":"3deafb84-d421-4e49-9bd7-bc8141d7db44","resolution":{"observed_at":"2026-08-06T22:11:29.981462Z","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/2501.17505/citation-record","integrity":"/paper/2501.17505/integrity","json":"/paper/2501.17505/citation-record.json","paper":"/paper/2501.17505"},"outbound":[],"paper":{"arxiv_id":"2501.17505","last_updated":"2025-01-29T09:22:57Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-04T19:44:27.344868Z","submitted_at":"2025-01-29T09:22:57Z","title":"The Fourier transform is an extremizer of a class of bounded operators"},"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 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2501.17505."}