{"as_of":"2026-08-13T11:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:80dc79ba657c5ada393fbce98dbff23046e2310be90bbe656f0bbf5c5ce05add","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":"2026-08-13T06:32:02.005865+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":"2026-08-06T10:39:52.562930Z","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":"2026-08-05T16:05:20.624064Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2309.03068","last_updated":"2024-02-27T18:42:04Z","snapshot_observed_at":"2026-08-13T10:19:11.749976Z","submitted_at":"2023-09-06T15:14:01Z","title":"On the Fourier decay of multiplicative convolutions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.03068","snapshot_observed_at":"2026-08-06T10:39:52.562930Z","title":"Parry, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.23731","last_updated":"2026-07-01T17:16:30Z","snapshot_observed_at":"2026-08-10T08:11:24.221172Z","submitted_at":"2025-07-31T17:05:51Z","title":"Fourier decay of equilibrium states and the Fibonacci Hamiltonian","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T10:39:52.562930Z"},"links":{"cited_paper":"/paper/2309.03068","citing_paper":"/paper/2507.23731"},"observation_digest":"sha256:4d60af77175243f5fc654f55b8a36e33f38df8e4e2323c34c12cdfc975330b92","observation_id":"e6c6fd17-38d5-4f78-a4a1-d71a69d76b8a","resolution":{"observed_at":"2026-08-06T10:39:52.562930Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.03068","last_updated":"2024-02-27T18:42:04Z","snapshot_observed_at":"2026-08-13T10:19:11.749976Z","submitted_at":"2023-09-06T15:14:01Z","title":"On the Fourier decay of multiplicative convolutions","version":2},"cited_work":{"arxiv_id":"2309.03068","doi":null,"metadata_source":"pith","pith_arxiv_id":"2309.03068","snapshot_observed_at":"2026-08-05T16:05:20.624064Z","title":"On the Fourier decay of multiplicative convolutions","venue":"math.CA","work_id":"825e2c5e-365f-4cf6-947f-7a0fb704ad85","year":2023},"citing_paper":{"arxiv_id":"2508.19047","last_updated":"2025-08-26T14:00:58Z","snapshot_observed_at":"2026-08-12T09:10:21.737023Z","submitted_at":"2025-08-26T14:00:58Z","title":"Furstenberg set theorem for transversal families of functions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T16:05:20.412167Z"},"links":{"cited_paper":"/paper/2309.03068","citing_paper":"/paper/2508.19047"},"observation_digest":"sha256:318979e4add7ea1fccb21369da0ff8ddbb2ae5fcbf0d3f5e69f4bcd45146ba65","observation_id":"d0d8638c-0e32-4106-964c-7837b22e2488","resolution":{"observed_at":"2026-08-05T16:05:20.630722Z","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/2309.03068/citation-record","integrity":"/paper/2309.03068/integrity","json":"/paper/2309.03068/citation-record.json","paper":"/paper/2309.03068"},"outbound":[],"paper":{"arxiv_id":"2309.03068","last_updated":"2024-02-27T18:42:04Z","latest_version":2,"primary_category":"math.CA","snapshot_observed_at":"2026-08-13T10:19:11.749976Z","submitted_at":"2023-09-06T15:14:01Z","title":"On the Fourier decay of multiplicative convolutions"},"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 2 inbound Pith citation observations for arXiv:2309.03068."}