{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:H4GBAE4QWCRU5NOHDWAX65GP56","short_pith_number":"pith:H4GBAE4Q","schema_version":"1.0","canonical_sha256":"3f0c101390b0a34eb5c71d817f74cfefa2fc4830105095c5436122cf6d4459fb","source":{"kind":"arxiv","id":"1310.5244","version":1},"attestation_state":"computed","paper":{"title":"New bounds for the discrete Fourier restriction to the sphere in four and five dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CA","authors_text":"Ciprian Demeter, Jean Bourgain","submitted_at":"2013-10-19T16:35:20Z","abstract_excerpt":"We improve the range for the discrete Fourier restriction to the four and five dimensional spheres. We rely on two new ingredients, incidence theory and Siegel's mass formula."},"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":"1310.5244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-10-19T16:35:20Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"13543acbf24cde4ccdfb97fd3afe7cd21e6294690755067e3889697f72efb86b","abstract_canon_sha256":"8e8e8fd83140b692386f07a75f83fa9bc7a381c8d2257f0922d6ad1615afc0b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:46.429269Z","signature_b64":"0dpf2wNb0nocPcNBG+j2lYJi0Wrq5whedehFWTdUeaifjMH/wXAFsdtHUfSC/OeSr/uCdu4WWt2I9580k+7KCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f0c101390b0a34eb5c71d817f74cfefa2fc4830105095c5436122cf6d4459fb","last_reissued_at":"2026-05-18T03:09:46.428539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:46.428539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New bounds for the discrete Fourier restriction to the sphere in four and five dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.CA","authors_text":"Ciprian Demeter, Jean Bourgain","submitted_at":"2013-10-19T16:35:20Z","abstract_excerpt":"We improve the range for the discrete Fourier restriction to the four and five dimensional spheres. We rely on two new ingredients, incidence theory and Siegel's mass formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5244","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":"1310.5244","created_at":"2026-05-18T03:09:46.428674+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.5244v1","created_at":"2026-05-18T03:09:46.428674+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5244","created_at":"2026-05-18T03:09:46.428674+00:00"},{"alias_kind":"pith_short_12","alias_value":"H4GBAE4QWCRU","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"H4GBAE4QWCRU5NOH","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"H4GBAE4Q","created_at":"2026-05-18T12:27:46.883200+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/H4GBAE4QWCRU5NOHDWAX65GP56","json":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56.json","graph_json":"https://pith.science/api/pith-number/H4GBAE4QWCRU5NOHDWAX65GP56/graph.json","events_json":"https://pith.science/api/pith-number/H4GBAE4QWCRU5NOHDWAX65GP56/events.json","paper":"https://pith.science/paper/H4GBAE4Q"},"agent_actions":{"view_html":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56","download_json":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56.json","view_paper":"https://pith.science/paper/H4GBAE4Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.5244&json=true","fetch_graph":"https://pith.science/api/pith-number/H4GBAE4QWCRU5NOHDWAX65GP56/graph.json","fetch_events":"https://pith.science/api/pith-number/H4GBAE4QWCRU5NOHDWAX65GP56/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56/action/storage_attestation","attest_author":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56/action/author_attestation","sign_citation":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56/action/citation_signature","submit_replication":"https://pith.science/pith/H4GBAE4QWCRU5NOHDWAX65GP56/action/replication_record"}},"created_at":"2026-05-18T03:09:46.428674+00:00","updated_at":"2026-05-18T03:09:46.428674+00:00"}