{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PTUAQJOGMXZQERMXE5V5QKGWGZ","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":"35db7e8cd893d33312b6b6a7c3371b77de52c837a2965d1407ce710e73a65494","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-07T19:12:14Z","title_canon_sha256":"fffc34ea6a3487c56b1ae731ea45594c3f23a72c15d55ab798a9e6511dad9c32"},"schema_version":"1.0","source":{"id":"1502.02173","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02173","created_at":"2026-05-18T02:27:43Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02173v1","created_at":"2026-05-18T02:27:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02173","created_at":"2026-05-18T02:27:43Z"},{"alias_kind":"pith_short_12","alias_value":"PTUAQJOGMXZQ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PTUAQJOGMXZQERMX","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PTUAQJOG","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:81805e075e16288efd5b79d230453bfaa9d44a0932dc8fbea4d42168c29b790d","target":"graph","created_at":"2026-05-18T02:27:43Z","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":"In this paper we prove that the complex polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\\mathbb C}^2$ is exactly $\\sqrt[4]{\\frac{3}{2}}$. We also give the exact value of the real polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\\mathbb R}^2$. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials in ${\\mathbb R}^2$ of higher degrees.","authors_text":"G.A. Mu\\~noz-Fern\\'andez, J.B. Seoane-Sep\\'ulveda, M. Murillo-Arcila, P. Jim\\'enez-Rodr\\'iguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-07T19:12:14Z","title":"Sharp values for the constants in the polynomial Bohnenblust-Hille inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02173","kind":"arxiv","version":1},"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":"sha256:9400af4037548e026fe00c33ba31a74dc3879f3bff5b242db18ebd10261829c2","target":"record","created_at":"2026-05-18T02:27:43Z","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":"35db7e8cd893d33312b6b6a7c3371b77de52c837a2965d1407ce710e73a65494","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-02-07T19:12:14Z","title_canon_sha256":"fffc34ea6a3487c56b1ae731ea45594c3f23a72c15d55ab798a9e6511dad9c32"},"schema_version":"1.0","source":{"id":"1502.02173","kind":"arxiv","version":1}},"canonical_sha256":"7ce80825c665f3024597276bd828d63640be7429f619917960ea419d9b0eecef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ce80825c665f3024597276bd828d63640be7429f619917960ea419d9b0eecef","first_computed_at":"2026-05-18T02:27:43.404191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:43.404191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AlEb45ZEWp+eiZyLIUQCH0qhJeQBaGvxQwpTIf2wbrFIJvr8CQi+yHnSxpgW/oC8V4/vOveDG5HyjFcADcR8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:43.404800Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02173","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9400af4037548e026fe00c33ba31a74dc3879f3bff5b242db18ebd10261829c2","sha256:81805e075e16288efd5b79d230453bfaa9d44a0932dc8fbea4d42168c29b790d"],"state_sha256":"a67e9b0a715957bcc20925eb464085054b3f4cc62cb7128b0d1cb0790d25d35f"}