{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7S24PVUKRPJWK73KSYLARZKGNP","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":"08191c6dcf5c72163b959ac11c44a2412328beb0b8e9748fa8c5bc98a757ef32","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-05-03T17:33:28Z","title_canon_sha256":"4ae7e89dcf5a197967dbcd5c191eaf9bfc9f14e726af33675d9950f627d213ce"},"schema_version":"1.0","source":{"id":"1205.0774","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0774","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0774v1","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0774","created_at":"2026-05-18T03:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"7S24PVUKRPJW","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7S24PVUKRPJWK73K","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7S24PVUK","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:5d402c09afba298f818f6bd7d95c3bcd023dbc12776fc0dcaa920d984bd1767e","target":"graph","created_at":"2026-05-18T03:56:24Z","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":"This article is a collected information from some books and papers, and in most cases the original sentences is reserved about twin prime conjecture.","authors_text":"Sadegh Nazardonyavi","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-05-03T17:33:28Z","title":"Some history about Twin Prime Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0774","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:e52087ad263462e57eed39d0622dac1b5ccbe355d861a8693e77fc0f73a691e7","target":"record","created_at":"2026-05-18T03:56:24Z","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":"08191c6dcf5c72163b959ac11c44a2412328beb0b8e9748fa8c5bc98a757ef32","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2012-05-03T17:33:28Z","title_canon_sha256":"4ae7e89dcf5a197967dbcd5c191eaf9bfc9f14e726af33675d9950f627d213ce"},"schema_version":"1.0","source":{"id":"1205.0774","kind":"arxiv","version":1}},"canonical_sha256":"fcb5c7d68a8bd3657f6a961608e5466bddda726842eb9cf7bfcdcc076c797d47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcb5c7d68a8bd3657f6a961608e5466bddda726842eb9cf7bfcdcc076c797d47","first_computed_at":"2026-05-18T03:56:24.932580Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:24.932580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j1RBT9c3DNKqi1I2gGcj0Om/DrC8Tp3vcgH7hJ6doMPB2tWoS1yFKJif1VKBRfB2I3COKb50Fz/fqhz9PXBBCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:24.933264Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0774","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e52087ad263462e57eed39d0622dac1b5ccbe355d861a8693e77fc0f73a691e7","sha256:5d402c09afba298f818f6bd7d95c3bcd023dbc12776fc0dcaa920d984bd1767e"],"state_sha256":"1fbbf86dae8e4ba8662dff8d20e82459a4a88372e44f0cf445c233fdae727ca8"}