{"as_of":"2026-08-13T21:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:270bf1bb248c5967922628457b126e86d559f671b76084f92226b62fba9698d5","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":"2026-08-12T15:57:23.298526Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-23T03:55:21.840303Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2409.13455","last_updated":"2025-05-20T15:19:15Z","snapshot_observed_at":"2026-08-12T22:41:02.915389Z","submitted_at":"2024-09-20T12:37:31Z","title":"Fourier dimension of Mandelbrot multiplicative cascades","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.13455","snapshot_observed_at":"2026-08-12T15:57:23.298526Z","title":"Fourier dimension of Mandelbrot multiplicative cascades","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.13923","last_updated":"2025-05-06T08:20:20Z","snapshot_observed_at":"2026-08-12T15:41:48.424519Z","submitted_at":"2024-11-21T08:18:37Z","title":"Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-12T15:57:23.298526Z"},"links":{"cited_paper":"/paper/2409.13455","citing_paper":"/paper/2411.13923"},"observation_digest":"sha256:8fc94747bcad6da068a9dce58b4fcf2e018a94a0376b57bd07b69b819b4a2fa4","observation_id":"ffc64088-5da3-45ef-bf8f-4beea65ec725","resolution":{"observed_at":"2026-08-12T15:57:23.298526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.13455","last_updated":"2025-05-20T15:19:15Z","snapshot_observed_at":"2026-08-12T22:41:02.915389Z","submitted_at":"2024-09-20T12:37:31Z","title":"Fourier dimension of Mandelbrot multiplicative cascades","version":3},"cited_work":{"arxiv_id":"2409.13455","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.13455","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e19be24e-184d-41c3-8a68-cb4fcc0a9764","year":null},"citing_paper":{"arxiv_id":"2502.09032","last_updated":"2026-05-20T08:35:02Z","snapshot_observed_at":"2026-07-06T20:35:49.677643Z","submitted_at":"2025-02-13T07:37:52Z","title":"Fourier dimension of the graph of fractional Brownian motion with $H \\ge 1/2$","version":3},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-23T03:54:07.601724Z"},"links":{"cited_paper":"/paper/2409.13455","citing_paper":"/paper/2502.09032"},"observation_digest":"sha256:347cb6238a16856d2f080eeec3458d450f32aa0ad9b21971d8360e597a419d79","observation_id":"21c46862-c2b4-42ca-8c71-8c7117a7d8a6","resolution":{"observed_at":"2026-05-23T03:55:21.843210Z","resolver_source":"arxiv_id","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/2409.13455/citation-record","integrity":"/paper/2409.13455/integrity","json":"/paper/2409.13455/citation-record.json","paper":"/paper/2409.13455"},"outbound":[],"paper":{"arxiv_id":"2409.13455","last_updated":"2025-05-20T15:19:15Z","latest_version":3,"primary_category":"math.PR","snapshot_observed_at":"2026-08-12T22:41:02.915389Z","submitted_at":"2024-09-20T12:37:31Z","title":"Fourier dimension of Mandelbrot multiplicative cascades"},"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:2409.13455."}