{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FHA7M5LN4FVNZSC5C5ZULWXYY4","short_pith_number":"pith:FHA7M5LN","schema_version":"1.0","canonical_sha256":"29c1f6756de16adcc85d177345daf8c710552f249d65ae6616f11d78195133b7","source":{"kind":"arxiv","id":"1309.0201","version":1},"attestation_state":"computed","paper":{"title":"Split functions, Fourier transforms and multipliers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Laura De Carli, Steve Hudson","submitted_at":"2013-09-01T10:50:19Z","abstract_excerpt":"We study the effect of a splitting operator S_t on the L^p norm of the Fourier transform of a function f and on the operator norm of a Fourier multiplier m. Most of our results assume p is an even integer, and are often stronger when f or m has compact support."},"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":"1309.0201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-09-01T10:50:19Z","cross_cats_sorted":[],"title_canon_sha256":"83040c9fcbbde76e5e3337197e5daa55562b0aa33710d19f5e353ccf9354ff46","abstract_canon_sha256":"ab6bf2fe34a82a9fcf3e29ddef141312f13879f1901695d1cd5fc60eafb5290e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:28.604408Z","signature_b64":"GJust/sqb5pDJPI9o78dYLq1T9M0mVIv1UKu7OTh9AQ83gurGULhRsksFZUtfl3XGgfqstrAoV2aERJD2bdbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29c1f6756de16adcc85d177345daf8c710552f249d65ae6616f11d78195133b7","last_reissued_at":"2026-05-18T03:14:28.603770Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:28.603770Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Split functions, Fourier transforms and multipliers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Laura De Carli, Steve Hudson","submitted_at":"2013-09-01T10:50:19Z","abstract_excerpt":"We study the effect of a splitting operator S_t on the L^p norm of the Fourier transform of a function f and on the operator norm of a Fourier multiplier m. Most of our results assume p is an even integer, and are often stronger when f or m has compact support."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0201","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":"1309.0201","created_at":"2026-05-18T03:14:28.603861+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.0201v1","created_at":"2026-05-18T03:14:28.603861+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0201","created_at":"2026-05-18T03:14:28.603861+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHA7M5LN4FVN","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHA7M5LN4FVNZSC5","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHA7M5LN","created_at":"2026-05-18T12:27:45.050594+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/FHA7M5LN4FVNZSC5C5ZULWXYY4","json":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4.json","graph_json":"https://pith.science/api/pith-number/FHA7M5LN4FVNZSC5C5ZULWXYY4/graph.json","events_json":"https://pith.science/api/pith-number/FHA7M5LN4FVNZSC5C5ZULWXYY4/events.json","paper":"https://pith.science/paper/FHA7M5LN"},"agent_actions":{"view_html":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4","download_json":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4.json","view_paper":"https://pith.science/paper/FHA7M5LN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.0201&json=true","fetch_graph":"https://pith.science/api/pith-number/FHA7M5LN4FVNZSC5C5ZULWXYY4/graph.json","fetch_events":"https://pith.science/api/pith-number/FHA7M5LN4FVNZSC5C5ZULWXYY4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4/action/storage_attestation","attest_author":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4/action/author_attestation","sign_citation":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4/action/citation_signature","submit_replication":"https://pith.science/pith/FHA7M5LN4FVNZSC5C5ZULWXYY4/action/replication_record"}},"created_at":"2026-05-18T03:14:28.603861+00:00","updated_at":"2026-05-18T03:14:28.603861+00:00"}