{"as_of":"2026-08-14T07:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:84bdd3a78a17e4518c39193ad390be58591d8fb39fdea38d6ab1a73ecfd3c863","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-04T00:13:13.368667Z","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":"2026-07-04T00:19:12.741892Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2603.25615","last_updated":"2026-08-06T17:49:51Z","snapshot_observed_at":"2026-08-09T23:12:09.672733Z","submitted_at":"2026-03-26T16:31:31Z","title":"Fourier dimension of Mandelbrot cascades on planar curves","version":2},"cited_work":{"arxiv_id":"2603.25615","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.25615","snapshot_observed_at":"2026-08-07T02:39:28.415787Z","title":"Ryou and V","venue":null,"work_id":"44cbfea1-cd38-4ea2-8b7e-ed5cc327725b","year":2026},"citing_paper":{"arxiv_id":"2606.08683","last_updated":"2026-06-11T05:15:25Z","snapshot_observed_at":"2026-07-06T23:48:07.065806Z","submitted_at":"2026-06-07T15:35:06Z","title":"Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-27T17:59:01.483518Z"},"links":{"cited_paper":"/paper/2603.25615","citing_paper":"/paper/2606.08683"},"observation_digest":"sha256:8cbe2c8e853c9cd10aa647cd0050fa81957d43877048542ec5993c31404b7675","observation_id":"a83f456b-0555-4fc9-8039-b248d33ffa47","resolution":{"observed_at":"2026-08-07T02:39:28.415787Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.25615","last_updated":"2026-08-06T17:49:51Z","snapshot_observed_at":"2026-08-09T23:12:09.672733Z","submitted_at":"2026-03-26T16:31:31Z","title":"Fourier dimension of Mandelbrot cascades on planar curves","version":2},"cited_work":{"arxiv_id":"2603.25615","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.25615","snapshot_observed_at":"2026-08-07T02:39:28.415787Z","title":"Ryou and V","venue":null,"work_id":"44cbfea1-cd38-4ea2-8b7e-ed5cc327725b","year":2026},"citing_paper":{"arxiv_id":"2606.08703","last_updated":"2026-06-11T05:40:40Z","snapshot_observed_at":"2026-07-06T23:48:11.819398Z","submitted_at":"2026-06-07T15:59:39Z","title":"Fourier Dimensions of Mandelbrot Cascades under Minimal Integrability","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T17:56:54.767272Z"},"links":{"cited_paper":"/paper/2603.25615","citing_paper":"/paper/2606.08703"},"observation_digest":"sha256:dcf575dfd49e93915e403d1a66d1c8b3f16e77360ec26cb92cdb23269f3d7a8b","observation_id":"6213714d-4ced-4eb9-b84d-f6d128539338","resolution":{"observed_at":"2026-08-07T02:39:28.415787Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.25615","last_updated":"2026-08-06T17:49:51Z","snapshot_observed_at":"2026-08-09T23:12:09.672733Z","submitted_at":"2026-03-26T16:31:31Z","title":"Fourier dimension of Mandelbrot cascades on planar curves","version":2},"cited_work":{"arxiv_id":"2603.25615","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.25615","snapshot_observed_at":"2026-08-07T02:39:28.415787Z","title":"Ryou and V","venue":null,"work_id":"44cbfea1-cd38-4ea2-8b7e-ed5cc327725b","year":2026},"citing_paper":{"arxiv_id":"2606.11758","last_updated":"2026-07-17T13:27:50Z","snapshot_observed_at":"2026-08-02T11:56:27.070874Z","submitted_at":"2026-06-10T07:32:27Z","title":"Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T08:41:56.866507Z"},"links":{"cited_paper":"/paper/2603.25615","citing_paper":"/paper/2606.11758"},"observation_digest":"sha256:f136653585b9fe84637ab7b45dd699da28d75816bd58eebd78dd6946fc7f2c82","observation_id":"40b7438c-bbfb-4706-b592-36881801b6c3","resolution":{"observed_at":"2026-08-07T02:39:28.415787Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2603.25615","last_updated":"2026-08-06T17:49:51Z","snapshot_observed_at":"2026-08-09T23:12:09.672733Z","submitted_at":"2026-03-26T16:31:31Z","title":"Fourier dimension of Mandelbrot cascades on planar curves","version":2},"cited_work":{"arxiv_id":"2603.25615","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2603.25615","snapshot_observed_at":"2026-08-07T02:39:28.415787Z","title":"Ryou and V","venue":null,"work_id":"44cbfea1-cd38-4ea2-8b7e-ed5cc327725b","year":2026},"citing_paper":{"arxiv_id":"2606.11758","last_updated":"2026-07-17T13:27:50Z","snapshot_observed_at":"2026-08-02T11:56:27.070874Z","submitted_at":"2026-06-10T07:32:27Z","title":"Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-04T00:13:13.368667Z"},"links":{"cited_paper":"/paper/2603.25615","citing_paper":"/paper/2606.11758"},"observation_digest":"sha256:624b0fe929824d27a3f492165f593257df2d3231538bc8e78a73ff6244613dc4","observation_id":"afbcb6c9-7e76-4444-b942-6364863c1044","resolution":{"observed_at":"2026-08-07T02:39:28.415787Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2603.25615/citation-record","integrity":"/paper/2603.25615/integrity","json":"/paper/2603.25615/citation-record.json","paper":"/paper/2603.25615"},"outbound":[],"paper":{"arxiv_id":"2603.25615","last_updated":"2026-08-06T17:49:51Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-09T23:12:09.672733Z","submitted_at":"2026-03-26T16:31:31Z","title":"Fourier dimension of Mandelbrot cascades on planar curves"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2603.25615."}