{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XMWH4P23WVZOGGCLU2LFS3M7VF","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":"042f7f813212ed5b08adb8ce3d5227345b5873b48592fe51088771ef93ad3efd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-05-06T09:34:31Z","title_canon_sha256":"de3050f04079c8661fcfd10d98b4e192323c02afb056d9c553f6d170a1b8cdf4"},"schema_version":"1.0","source":{"id":"1405.1204","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.1204","created_at":"2026-05-18T02:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"1405.1204v2","created_at":"2026-05-18T02:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1204","created_at":"2026-05-18T02:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"XMWH4P23WVZO","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XMWH4P23WVZOGGCL","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XMWH4P23","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:d9be06ddc00699a0f752dd89d7d6affcf9596ce03b6ac7ef219123dcfdea4823","target":"graph","created_at":"2026-05-18T02:14:18Z","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":"Bayart, Pellegrino and Seoane recently proved that the polynomial Bohnenblust--Hille inequality for complex scalars is subexponential. We show that a vector valued polynomial Bohnenblust-Hille inequality on complex Banach lattices is also subexponential for some special cases. Our main result result recovers the best known constants of the classical polynomial inequality provided in \\cite{bps}.","authors_text":"D. M. Serrano-Rodr\\'iguez, D. N\\'u\\~nez-Alarc\\'on, N. Albuquerque","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-05-06T09:34:31Z","title":"A subexponential vector-valued Bohnenblust-Hille type inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1204","kind":"arxiv","version":2},"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":"sha256:3b1d2628e9ac653a135f2959930e6536c1042672e351e1173dc0a45153333ec1","target":"record","created_at":"2026-05-18T02:14:18Z","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":"042f7f813212ed5b08adb8ce3d5227345b5873b48592fe51088771ef93ad3efd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-05-06T09:34:31Z","title_canon_sha256":"de3050f04079c8661fcfd10d98b4e192323c02afb056d9c553f6d170a1b8cdf4"},"schema_version":"1.0","source":{"id":"1405.1204","kind":"arxiv","version":2}},"canonical_sha256":"bb2c7e3f5bb572e3184ba696596d9fa97d3839f5732bb11978a0d9a311f15381","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb2c7e3f5bb572e3184ba696596d9fa97d3839f5732bb11978a0d9a311f15381","first_computed_at":"2026-05-18T02:14:18.073964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:18.073964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jmOelmZcRWxPFntUMZZ213z3vofNeNG/jaQG9kX7eMrGnsqhB7zaz3x5Mq3k5yvxbFUBDqfns+hwgpEs8QfDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:18.074651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.1204","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b1d2628e9ac653a135f2959930e6536c1042672e351e1173dc0a45153333ec1","sha256:d9be06ddc00699a0f752dd89d7d6affcf9596ce03b6ac7ef219123dcfdea4823"],"state_sha256":"29418143eed568383a3943f771197247d264b9d0562f086613f785941530e5f4"}