{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VOSLCJJ5ZN6OWVP542BTVCRGTT","short_pith_number":"pith:VOSLCJJ5","schema_version":"1.0","canonical_sha256":"aba4b1253dcb7ceb55fde6833a8a269cd8fef0b2d741e992a8e04da7495a2e18","source":{"kind":"arxiv","id":"1102.3577","version":1},"attestation_state":"computed","paper":{"title":"Some supports of Fourier transforms of singular measures are not Rajchman","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Maria Roginskaya","submitted_at":"2011-02-17T13:08:50Z","abstract_excerpt":"The notion of Riesz sets tells us that a support of Fourier transform of a measure with non-trivial singular part has to be large. The notion of Rajchman sets tells us that if the Fourier transform tends to zero at infinity outside a small set, then it tends to zero even on the small set. Here we present a new angle of an old question: Whether every Rajchman set should be Riesz."},"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":"1102.3577","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.FA","submitted_at":"2011-02-17T13:08:50Z","cross_cats_sorted":[],"title_canon_sha256":"856ff89ee163f16279ae38fa545cfa0b6ffd771581fa420428756b8987a1061b","abstract_canon_sha256":"eb4f64e5dd88448cae815d1d6893c3ec5d76f4d5192a372d0c11e8688b544ed3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:21.249721Z","signature_b64":"levkFWIWVQy8iIxW9HP4F4UuO5VXzBAVMls6+DxeaG7AuEjDuJyOxCP2Hr4+6G2+mebnNxH+91KT4zxiXKSBDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aba4b1253dcb7ceb55fde6833a8a269cd8fef0b2d741e992a8e04da7495a2e18","last_reissued_at":"2026-05-18T04:28:21.248931Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:21.248931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some supports of Fourier transforms of singular measures are not Rajchman","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Maria Roginskaya","submitted_at":"2011-02-17T13:08:50Z","abstract_excerpt":"The notion of Riesz sets tells us that a support of Fourier transform of a measure with non-trivial singular part has to be large. The notion of Rajchman sets tells us that if the Fourier transform tends to zero at infinity outside a small set, then it tends to zero even on the small set. Here we present a new angle of an old question: Whether every Rajchman set should be Riesz."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3577","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1102.3577","created_at":"2026-05-18T04:28:21.249008+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.3577v1","created_at":"2026-05-18T04:28:21.249008+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3577","created_at":"2026-05-18T04:28:21.249008+00:00"},{"alias_kind":"pith_short_12","alias_value":"VOSLCJJ5ZN6O","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VOSLCJJ5ZN6OWVP5","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VOSLCJJ5","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT","json":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT.json","graph_json":"https://pith.science/api/pith-number/VOSLCJJ5ZN6OWVP542BTVCRGTT/graph.json","events_json":"https://pith.science/api/pith-number/VOSLCJJ5ZN6OWVP542BTVCRGTT/events.json","paper":"https://pith.science/paper/VOSLCJJ5"},"agent_actions":{"view_html":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT","download_json":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT.json","view_paper":"https://pith.science/paper/VOSLCJJ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.3577&json=true","fetch_graph":"https://pith.science/api/pith-number/VOSLCJJ5ZN6OWVP542BTVCRGTT/graph.json","fetch_events":"https://pith.science/api/pith-number/VOSLCJJ5ZN6OWVP542BTVCRGTT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT/action/storage_attestation","attest_author":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT/action/author_attestation","sign_citation":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT/action/citation_signature","submit_replication":"https://pith.science/pith/VOSLCJJ5ZN6OWVP542BTVCRGTT/action/replication_record"}},"created_at":"2026-05-18T04:28:21.249008+00:00","updated_at":"2026-05-18T04:28:21.249008+00:00"}