{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UL67VATJ3F7ALGUJRP4BXOQWFX","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":"f4825261c1dbee6ee7e5b440c1ed5e78cea2aebfde97d1da6d8b169d719debe5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-14T11:26:14Z","title_canon_sha256":"82bb590980fb4781698716d68416c6ee258c1c258b19a9b7640b18722a16e9bc"},"schema_version":"1.0","source":{"id":"1306.3362","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3362","created_at":"2026-05-18T01:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3362v3","created_at":"2026-05-18T01:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3362","created_at":"2026-05-18T01:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"UL67VATJ3F7A","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UL67VATJ3F7ALGUJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UL67VATJ","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:5bbb3ebe4b6e3c2159ae4e14e97b2c64544904608c7037b5c5684ca066970d43","target":"graph","created_at":"2026-05-18T01:31:30Z","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":"We prove that the multilinear Bohnenblust--Hille is a particular case of a quite general family of optimal inequalities.","authors_text":"D. Pellegrino, F. Bayart, J. Seoane-Sepulveda, N. Albuquerque","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-14T11:26:14Z","title":"Sharp generalizations of the multilinear Bohnenblust--Hille inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3362","kind":"arxiv","version":3},"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":"sha256:15710fc0843e852bd756b505f2e1ea2f1a676e360f15e79caf07744a3be1b831","target":"record","created_at":"2026-05-18T01:31:30Z","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":"f4825261c1dbee6ee7e5b440c1ed5e78cea2aebfde97d1da6d8b169d719debe5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-14T11:26:14Z","title_canon_sha256":"82bb590980fb4781698716d68416c6ee258c1c258b19a9b7640b18722a16e9bc"},"schema_version":"1.0","source":{"id":"1306.3362","kind":"arxiv","version":3}},"canonical_sha256":"a2fdfa8269d97e059a898bf81bba162dcba862f97f4a8e52aeb2067d2afee259","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2fdfa8269d97e059a898bf81bba162dcba862f97f4a8e52aeb2067d2afee259","first_computed_at":"2026-05-18T01:31:30.410241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:30.410241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Ghgl4iKw0e9gCMlPe6gX9iiPn47JMQic26vU8rO18DOldPqLRE+JiYZKOSkgpPTKbWihmJudDYW8ioyoa7pCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:30.410890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3362","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15710fc0843e852bd756b505f2e1ea2f1a676e360f15e79caf07744a3be1b831","sha256:5bbb3ebe4b6e3c2159ae4e14e97b2c64544904608c7037b5c5684ca066970d43"],"state_sha256":"d77180a625d55694d6a244577b92d9bf5a609660c8b30ebe364546649bdb053b"}