{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IE7XQZJWRI6EQHDZCPBNK2RI7H","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":"3bcbab3369c09dd7e3b825e7a95239768700f6dc3d8ffec563e62176e8f06c26","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-16T08:57:05Z","title_canon_sha256":"89d196a85985bb8a64b5a4eb8107bd58f428cb7435eebd6df3f8ab921e7c9562"},"schema_version":"1.0","source":{"id":"1502.04460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04460","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04460v1","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04460","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"IE7XQZJWRI6E","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IE7XQZJWRI6EQHDZ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IE7XQZJW","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:c0241e787d40fd607620006da333a8d03fdbe566de5b6854465b90ed722f02f7","target":"graph","created_at":"2026-05-18T01:18:14Z","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":"Admettant l'hypoth\\`ese de Schinzel et la finitude des groupes de Tate-Shafarevich des courbes elliptiques sur les corps de nombres, toute intersection lisse de deux quadriques dans l'espace projectif de dimension n satisfait au principe de Hasse si n>4. Le m\\^eme r\\'esultat vaut pour n=4, c'est-\\`a-dire pour les surfaces de del Pezzo de degr\\'e 4, lorsque le groupe de Brauer est r\\'eduit aux constantes et que la surface est suffisamment g\\'en\\'erale.\n  -----\n  Assuming Schinzel's hypothesis and the finiteness of Tate-Shafarevich groups of elliptic curves over number fields, smooth intersectio","authors_text":"Olivier Wittenberg","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-16T08:57:05Z","title":"Principe de Hasse pour les intersections de deux quadriques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04460","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":"sha256:00b50cda84c59014facbebab4e74e2921533b56f3a19d15d033230b45050c520","target":"record","created_at":"2026-05-18T01:18:14Z","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":"3bcbab3369c09dd7e3b825e7a95239768700f6dc3d8ffec563e62176e8f06c26","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-02-16T08:57:05Z","title_canon_sha256":"89d196a85985bb8a64b5a4eb8107bd58f428cb7435eebd6df3f8ab921e7c9562"},"schema_version":"1.0","source":{"id":"1502.04460","kind":"arxiv","version":1}},"canonical_sha256":"413f7865368a3c481c7913c2d56a28f9ca2ea8f8ef8ec9042a29305eabeb1c4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"413f7865368a3c481c7913c2d56a28f9ca2ea8f8ef8ec9042a29305eabeb1c4c","first_computed_at":"2026-05-18T01:18:14.767737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:14.767737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ibcoDfzowfjeXWelv+4mzJa2OIi53b1id8SbXFSv+/NAbGvugVOMBPA/a/xmj4rtdUbfrDeYPYTGVIZqlnaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:14.768306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00b50cda84c59014facbebab4e74e2921533b56f3a19d15d033230b45050c520","sha256:c0241e787d40fd607620006da333a8d03fdbe566de5b6854465b90ed722f02f7"],"state_sha256":"0d06c646e364888e6ed5a7101210e89464bdef053a7371ac10aec3b211e7742b"}