{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DULE6272NXTDOINZDHMHZKS3XK","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":"067b184fb86b90d38c2d0f8f01d19f794b5a64c22452fac6c3902ce623050b3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-09-23T10:33:06Z","title_canon_sha256":"70e7da99b20f5f66c07ef63242b0dd960b9fea23c1f0d08eb28c50c226ad734c"},"schema_version":"1.0","source":{"id":"1009.4568","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.4568","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"arxiv_version","alias_value":"1009.4568v2","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4568","created_at":"2026-05-18T04:39:58Z"},{"alias_kind":"pith_short_12","alias_value":"DULE6272NXTD","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DULE6272NXTDOINZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DULE6272","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:ae2ea33883e0133e39a37948c9700854e6aced805e60a950545cc1a3aab51a1b","target":"graph","created_at":"2026-05-18T04:39:58Z","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":"Major mistake. The paper has been withdrawn.","authors_text":"Nicolas Billerey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-09-23T10:33:06Z","title":"Fermat Curves and Brauer-Manin Obstructions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4568","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":"sha256:874d00966b681485d0587a0c43764d87427e59a054d21174f8bceb5b7bf0b155","target":"record","created_at":"2026-05-18T04:39:58Z","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":"067b184fb86b90d38c2d0f8f01d19f794b5a64c22452fac6c3902ce623050b3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-09-23T10:33:06Z","title_canon_sha256":"70e7da99b20f5f66c07ef63242b0dd960b9fea23c1f0d08eb28c50c226ad734c"},"schema_version":"1.0","source":{"id":"1009.4568","kind":"arxiv","version":2}},"canonical_sha256":"1d164f6bfa6de63721b919d87caa5bba8a243e3aafb2afe9d593164c5dc422fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d164f6bfa6de63721b919d87caa5bba8a243e3aafb2afe9d593164c5dc422fe","first_computed_at":"2026-05-18T04:39:58.901419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:58.901419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aFQqAFVtSCTg7lSy8bXMlGwkSqEDRsq4M6jTbbx8QwwkI6toXetmmYqOJZ54Pcod08xU+TdnGjlKc1vZTI6ABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:58.902366Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.4568","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:874d00966b681485d0587a0c43764d87427e59a054d21174f8bceb5b7bf0b155","sha256:ae2ea33883e0133e39a37948c9700854e6aced805e60a950545cc1a3aab51a1b"],"state_sha256":"947e4a3dd6058c70e3761db30a3d4f01bc48f8cfbfffbf7398d56ec3115b07d5"}