{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:YJBLRAIBISTVJ7NQSC3ZLUSTH7","short_pith_number":"pith:YJBLRAIB","schema_version":"1.0","canonical_sha256":"c242b8810144a754fdb090b795d2533fd5362f10c11bba90034aea7175a8f855","source":{"kind":"arxiv","id":"2603.25615","version":2},"attestation_state":"computed","paper":{"title":"Fourier dimension of Mandelbrot cascades on planar curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.PR","authors_text":"Donggeun Ryou, Ville Suomala","submitted_at":"2026-03-26T16:31:31Z","abstract_excerpt":"We consider multifractal Mandelbrot cascades supported on planar $C^2$ curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal to the infimum of the lower pointwise dimension of the measure."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2603.25615","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-03-26T16:31:31Z","cross_cats_sorted":["math-ph","math.CA","math.MP"],"title_canon_sha256":"d0981af4d11a36c335c855269a94329adb17326ee825c4f2cf59be8be9720798","abstract_canon_sha256":"959d15c21180826eb2d3d73e9f9b23ec745987e62d0e82e02da5c0c3152286b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-07T01:36:30.768619Z","signature_b64":"27i8jq2HhnP/5rU+XhGz/RcCmPKjeNoBCLue0XAfQtlxrLwnPfHy4q7XxJNFkDwnF17OQh64N/FuRboRIQU0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c242b8810144a754fdb090b795d2533fd5362f10c11bba90034aea7175a8f855","last_reissued_at":"2026-08-07T01:36:30.766502Z","signature_status":"signed_v1","first_computed_at":"2026-08-07T01:36:30.766502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fourier dimension of Mandelbrot cascades on planar curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CA","math.MP"],"primary_cat":"math.PR","authors_text":"Donggeun Ryou, Ville Suomala","submitted_at":"2026-03-26T16:31:31Z","abstract_excerpt":"We consider multifractal Mandelbrot cascades supported on planar $C^2$ curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal to the infimum of the lower pointwise dimension of the measure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.25615","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.25615/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2603.25615","created_at":"2026-08-07T01:36:30.769132+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.25615v2","created_at":"2026-08-07T01:36:30.769132+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.25615","created_at":"2026-08-07T01:36:30.769132+00:00"},{"alias_kind":"pith_short_12","alias_value":"YJBLRAIBISTV","created_at":"2026-08-07T01:36:30.769132+00:00"},{"alias_kind":"pith_short_16","alias_value":"YJBLRAIBISTVJ7NQ","created_at":"2026-08-07T01:36:30.769132+00:00"},{"alias_kind":"pith_short_8","alias_value":"YJBLRAIB","created_at":"2026-08-07T01:36:30.769132+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2606.11758","citing_title":"Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2606.11758","citing_title":"Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2606.08703","citing_title":"Fourier Dimensions of Mandelbrot Cascades under Minimal Integrability","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2606.08683","citing_title":"Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability","ref_index":44,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7","json":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7.json","graph_json":"https://pith.science/api/pith-number/YJBLRAIBISTVJ7NQSC3ZLUSTH7/graph.json","events_json":"https://pith.science/api/pith-number/YJBLRAIBISTVJ7NQSC3ZLUSTH7/events.json","paper":"https://pith.science/paper/YJBLRAIB"},"agent_actions":{"view_html":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7","download_json":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7.json","view_paper":"https://pith.science/paper/YJBLRAIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.25615&json=true","fetch_graph":"https://pith.science/api/pith-number/YJBLRAIBISTVJ7NQSC3ZLUSTH7/graph.json","fetch_events":"https://pith.science/api/pith-number/YJBLRAIBISTVJ7NQSC3ZLUSTH7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7/action/storage_attestation","attest_author":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7/action/author_attestation","sign_citation":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7/action/citation_signature","submit_replication":"https://pith.science/pith/YJBLRAIBISTVJ7NQSC3ZLUSTH7/action/replication_record"}},"created_at":"2026-08-07T01:36:30.769132+00:00","updated_at":"2026-08-07T01:36:30.769132+00:00"}