{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2VMQSJ5QM22R5ACRCSUPHFMGHI","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":"5c19b332ab884552d165bca1fe58a21047e2470a198128ee57fdeb0e44967b65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-03-31T13:42:22Z","title_canon_sha256":"8ec4d024ef6e00a19136310c485febf57d8b0eb66869505c1a5c162ca87b8044"},"schema_version":"1.0","source":{"id":"1304.0204","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.0204","created_at":"2026-05-18T03:07:03Z"},{"alias_kind":"arxiv_version","alias_value":"1304.0204v2","created_at":"2026-05-18T03:07:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0204","created_at":"2026-05-18T03:07:03Z"},{"alias_kind":"pith_short_12","alias_value":"2VMQSJ5QM22R","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2VMQSJ5QM22R5ACR","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2VMQSJ5Q","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:795831af3863277388490a6f55365b65c6a37e1d924900820b96b522fa7b45d1","target":"graph","created_at":"2026-05-18T03:07:03Z","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":"We propose a new formulation of the problem of prime factorization of integers. With replica exchange Monte Carlo simulation, the behavior which is seemed to indicate exponential computational hardness is observed. But this formulation is expected to give a new insight into the computational complexity of this problem from a statistical mechanical point of view.","authors_text":"Chihiro H. Nakajima","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-03-31T13:42:22Z","title":"Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0204","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":"sha256:2c5db2621ab3474980a463da225b42945f70026810bc29ce0649db9d0b0f78fa","target":"record","created_at":"2026-05-18T03:07:03Z","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":"5c19b332ab884552d165bca1fe58a21047e2470a198128ee57fdeb0e44967b65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-03-31T13:42:22Z","title_canon_sha256":"8ec4d024ef6e00a19136310c485febf57d8b0eb66869505c1a5c162ca87b8044"},"schema_version":"1.0","source":{"id":"1304.0204","kind":"arxiv","version":2}},"canonical_sha256":"d5590927b066b51e805114a8f395863a19dbd517aad59dbd418b9d93391636cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5590927b066b51e805114a8f395863a19dbd517aad59dbd418b9d93391636cf","first_computed_at":"2026-05-18T03:07:03.764118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:03.764118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WDUeqskqHAZQtjNo4jVsHKJFRD9O1I2W5bDqyQU7C3wNcE+L/hrMpX06N07n+DzQP0tIlrwveXIuXg46GW5GCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:03.764658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.0204","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2c5db2621ab3474980a463da225b42945f70026810bc29ce0649db9d0b0f78fa","sha256:795831af3863277388490a6f55365b65c6a37e1d924900820b96b522fa7b45d1"],"state_sha256":"adc3b1f24f8958e3ce74ea4b7209622851416a8a87869b009164b86266f9027c"}