{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:FFOPIUIFDA4ZKXUGHV2R5DSQUQ","short_pith_number":"pith:FFOPIUIF","schema_version":"1.0","canonical_sha256":"295cf451051839955e863d751e8e50a402801d914c9f51256a52f5d578fb6696","source":{"kind":"arxiv","id":"1203.3043","version":4},"attestation_state":"computed","paper":{"title":"On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda","submitted_at":"2012-03-14T10:44:57Z","abstract_excerpt":"The search for sharp constants for inequalities of the type Littlewood's 4/3 and Bohnenblust-Hille, besides its pure mathematical interest, has shown unexpected applications in many different fields, such as Analytic Number Theory, Quantum Information Theory, or (for instance) in deep results on the $n$-dimensional Bohr radius. The recent estimates obtained for the multilinear Bohnenblust-Hille inequality (in the case of real scalars) have been recently used, as a crucial step, by A. Montanaro in order to solve problems in the theory of quantum XOR games. Here, among other results, we obtain n"},"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":"1203.3043","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-03-14T10:44:57Z","cross_cats_sorted":[],"title_canon_sha256":"571767a9c70e343fbe222c973eb9dccbd2370dfce41f369df4e99b9133e52411","abstract_canon_sha256":"4bffea746991b23d6e11774b56a50acb466cbc2929ef5b7ed22bda99445a3048"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:20.109009Z","signature_b64":"K6j2QZqlMqQ5zW3oy7ADdEcULObNOLewU2fUzZYYwtDpb/ibzD5l91ABgOwjIgzWJev/6Q/7zEL4uoMfo5VjCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"295cf451051839955e863d751e8e50a402801d914c9f51256a52f5d578fb6696","last_reissued_at":"2026-05-18T01:31:20.108441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:20.108441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda","submitted_at":"2012-03-14T10:44:57Z","abstract_excerpt":"The search for sharp constants for inequalities of the type Littlewood's 4/3 and Bohnenblust-Hille, besides its pure mathematical interest, has shown unexpected applications in many different fields, such as Analytic Number Theory, Quantum Information Theory, or (for instance) in deep results on the $n$-dimensional Bohr radius. The recent estimates obtained for the multilinear Bohnenblust-Hille inequality (in the case of real scalars) have been recently used, as a crucial step, by A. Montanaro in order to solve problems in the theory of quantum XOR games. Here, among other results, we obtain n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3043","kind":"arxiv","version":4},"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":"1203.3043","created_at":"2026-05-18T01:31:20.108528+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.3043v4","created_at":"2026-05-18T01:31:20.108528+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3043","created_at":"2026-05-18T01:31:20.108528+00:00"},{"alias_kind":"pith_short_12","alias_value":"FFOPIUIFDA4Z","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FFOPIUIFDA4ZKXUG","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FFOPIUIF","created_at":"2026-05-18T12:27:06.952714+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/FFOPIUIFDA4ZKXUGHV2R5DSQUQ","json":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ.json","graph_json":"https://pith.science/api/pith-number/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/graph.json","events_json":"https://pith.science/api/pith-number/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/events.json","paper":"https://pith.science/paper/FFOPIUIF"},"agent_actions":{"view_html":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ","download_json":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ.json","view_paper":"https://pith.science/paper/FFOPIUIF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.3043&json=true","fetch_graph":"https://pith.science/api/pith-number/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/graph.json","fetch_events":"https://pith.science/api/pith-number/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/action/storage_attestation","attest_author":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/action/author_attestation","sign_citation":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/action/citation_signature","submit_replication":"https://pith.science/pith/FFOPIUIFDA4ZKXUGHV2R5DSQUQ/action/replication_record"}},"created_at":"2026-05-18T01:31:20.108528+00:00","updated_at":"2026-05-18T01:31:20.108528+00:00"}