{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WXCYIWQ6SIPS7LU6HTZQJXAIMM","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":"e9079a266540b27a5e8077e9f622457b874867096c65de748b769d957442f823","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-06-01T04:13:56Z","title_canon_sha256":"6f4db81133f5da66bff3f08511dc5462bc30220300d1df2ed0067b72d5044c3b"},"schema_version":"1.0","source":{"id":"1506.00344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00344","created_at":"2026-05-18T01:59:54Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00344v1","created_at":"2026-05-18T01:59:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00344","created_at":"2026-05-18T01:59:54Z"},{"alias_kind":"pith_short_12","alias_value":"WXCYIWQ6SIPS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WXCYIWQ6SIPS7LU6","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WXCYIWQ6","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:9c63ca2bd3ac488a9ff4682b73aacdbab16b78a86ad8e95539fe75e453732b86","target":"graph","created_at":"2026-05-18T01:59:54Z","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":"Species evolution is essentially a random process of interaction between biological populations and their environments. As a result, some physical parameters in evolution models are subject to statistical fluctuations. In this paper, two important parameters in the Eigen model, the fitness and mutation rate, are treated as Gaussian distributed random variables simultaneously to examine the property of the error threshold. Numerical simulation results show that the error threshold in the fully random model appears as a crossover region instead of a phase transition point, and as the fluctuation","authors_text":"Duo-Fang Li, Jian-Zhong Gu, Jin-Peng Geng, Li-Hua Qiao, Tian-Guang Cao, Yong Zhan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-06-01T04:13:56Z","title":"Error Threshold of Fully Random Eigen Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00344","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":"sha256:992a79d9af17370a548638a3bc0bf5d8263a2553eca9ffb0edb95ac23cfbefaa","target":"record","created_at":"2026-05-18T01:59:54Z","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":"e9079a266540b27a5e8077e9f622457b874867096c65de748b769d957442f823","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-06-01T04:13:56Z","title_canon_sha256":"6f4db81133f5da66bff3f08511dc5462bc30220300d1df2ed0067b72d5044c3b"},"schema_version":"1.0","source":{"id":"1506.00344","kind":"arxiv","version":1}},"canonical_sha256":"b5c5845a1e921f2fae9e3cf304dc086304ea24639804513c623d4acbc95b4f4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5c5845a1e921f2fae9e3cf304dc086304ea24639804513c623d4acbc95b4f4a","first_computed_at":"2026-05-18T01:59:54.783129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:54.783129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nOZKuBmIsuPWk4/z/htrzHWsZ863UY1TWS3uPCrv86gHDBSpqmYtiK4FHlJLfbtBN6MXc2UqqoPWOMjVDLwPCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:54.783639Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:992a79d9af17370a548638a3bc0bf5d8263a2553eca9ffb0edb95ac23cfbefaa","sha256:9c63ca2bd3ac488a9ff4682b73aacdbab16b78a86ad8e95539fe75e453732b86"],"state_sha256":"028b71c025eec26bd2ddd7e37ccce67355b56fd68261e5bcf74aa731314491e6"}