{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7S4IFZVDOWLMDPO54ZXAXUHOJT","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":"e96bf4cb3b0d67084f11e2ad6e03fc4d66ae17908c5d115eb529bd9ade550788","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-03T23:59:34Z","title_canon_sha256":"80a091ad822202f9a1456f63a14bbf703b69a594b5b17926af42ba267f4aac10"},"schema_version":"1.0","source":{"id":"1402.1201","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1201","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1201v2","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1201","created_at":"2026-05-18T02:59:05Z"},{"alias_kind":"pith_short_12","alias_value":"7S4IFZVDOWLM","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7S4IFZVDOWLMDPO5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7S4IFZVD","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:a85c198384baa746029cfbeb3844dd06e3a30f8fe03d651a71b6133be7cd6bc7","target":"graph","created_at":"2026-05-18T02:59:05Z","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":"Almost all public secure communication relies on the inability to factor large numbers. There is no known analytic or classical numeric method to rapidly factor large numbers. Shor[1] has shown that a quantum computer can factor numbers in polynomial time but there is no practical quantum computer that can yet do such computations. We show that a simulated annealing[2] approach can be adapted to find factors of large numbers.","authors_text":"Eric Lewin Altschuler, Timothy J. Williams","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-03T23:59:34Z","title":"Using Simulated Annealing to Factor Numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1201","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":"sha256:2f9c659111e480cf659d48e919e7b01bb91c9ddee0e4761e55a7c6b5ba4c327e","target":"record","created_at":"2026-05-18T02:59:05Z","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":"e96bf4cb3b0d67084f11e2ad6e03fc4d66ae17908c5d115eb529bd9ade550788","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-02-03T23:59:34Z","title_canon_sha256":"80a091ad822202f9a1456f63a14bbf703b69a594b5b17926af42ba267f4aac10"},"schema_version":"1.0","source":{"id":"1402.1201","kind":"arxiv","version":2}},"canonical_sha256":"fcb882e6a37596c1bddde66e0bd0ee4cf33e9275b81f9426d96c8632491e457f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcb882e6a37596c1bddde66e0bd0ee4cf33e9275b81f9426d96c8632491e457f","first_computed_at":"2026-05-18T02:59:05.718340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:05.718340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zjXJlq0C46zK1Q8VqQ7XJcpBbpljK1fa4ib8EkgG7iGtZqedpPwoonGjSZ3un8YUeayK6koy+tF0+UwdVV9RBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:05.719050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1201","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f9c659111e480cf659d48e919e7b01bb91c9ddee0e4761e55a7c6b5ba4c327e","sha256:a85c198384baa746029cfbeb3844dd06e3a30f8fe03d651a71b6133be7cd6bc7"],"state_sha256":"49f2a95f09154f62737975bb24ecb054738e5db0589361a03549408aea7d4873"}