{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FFOPIUIFDA4ZKXUGHV2R5DSQUQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4bffea746991b23d6e11774b56a50acb466cbc2929ef5b7ed22bda99445a3048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-03-14T10:44:57Z","title_canon_sha256":"571767a9c70e343fbe222c973eb9dccbd2370dfce41f369df4e99b9133e52411"},"schema_version":"1.0","source":{"id":"1203.3043","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3043","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3043v4","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3043","created_at":"2026-05-18T01:31:20Z"},{"alias_kind":"pith_short_12","alias_value":"FFOPIUIFDA4Z","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FFOPIUIFDA4ZKXUG","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FFOPIUIF","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:8fedfe449bfe6373f50e8b89b3a46f1785e1af917192f4937076b4237c3ff717","target":"graph","created_at":"2026-05-18T01:31:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-03-14T10:44:57Z","title":"On the Bohnenblust-Hille inequality and a variant of Littlewood's 4/3 inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3043","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:fe352dbcf4f491e78988196a9c221f2b5fa03e513cb59f42d35753089708d0ea","target":"record","created_at":"2026-05-18T01:31:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4bffea746991b23d6e11774b56a50acb466cbc2929ef5b7ed22bda99445a3048","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-03-14T10:44:57Z","title_canon_sha256":"571767a9c70e343fbe222c973eb9dccbd2370dfce41f369df4e99b9133e52411"},"schema_version":"1.0","source":{"id":"1203.3043","kind":"arxiv","version":4}},"canonical_sha256":"295cf451051839955e863d751e8e50a402801d914c9f51256a52f5d578fb6696","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"295cf451051839955e863d751e8e50a402801d914c9f51256a52f5d578fb6696","first_computed_at":"2026-05-18T01:31:20.108441Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:20.108441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K6j2QZqlMqQ5zW3oy7ADdEcULObNOLewU2fUzZYYwtDpb/ibzD5l91ABgOwjIgzWJev/6Q/7zEL4uoMfo5VjCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:20.109009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3043","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe352dbcf4f491e78988196a9c221f2b5fa03e513cb59f42d35753089708d0ea","sha256:8fedfe449bfe6373f50e8b89b3a46f1785e1af917192f4937076b4237c3ff717"],"state_sha256":"d730dc32927494aacd47d3d407ee9816bdf75a07f50a07cb64ff8f8f558e0c5a"}