{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6OKIQ36O4FEQ4UTGPQQ7VW7QGI","short_pith_number":"pith:6OKIQ36O","schema_version":"1.0","canonical_sha256":"f394886fcee1490e52667c21fadbf0320dc06eeb467d960c477cdf2d325ff877","source":{"kind":"arxiv","id":"1403.5427","version":1},"attestation_state":"computed","paper":{"title":"The quasispecies regime for the simple genetic algorithm with ranking selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE"],"primary_cat":"math.PR","authors_text":"Rapha\\\"el Cerf","submitted_at":"2014-03-21T11:45:05Z","abstract_excerpt":"We study the simple genetic algorithm with a ranking selection mechanism (linear ranking or tournament). We denote by $\\ell$ the length of the chromosomes, by $m$ the population size, by $p_C$ the crossover probability and by $p_M$ the mutation probability. We introduce a parameter $\\sigma$, called the selection drift, which measures the selection intensity of the fittest chromosome. We show that the dynamics of the genetic algorithm depend in a critical way on the parameter $$\\pi \\,=\\,\\sigma(1-p_C)(1-p_M)^\\ell\\,.$$ If $\\pi<1$, then the genetic algorithm operates in a disordered regime: an adv"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.5427","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-03-21T11:45:05Z","cross_cats_sorted":["cs.NE"],"title_canon_sha256":"d15e09e462fe52e7aa96a443cf18240725d8995f21fad4fbaaf176670895ac1a","abstract_canon_sha256":"6a2022066c1cdabffc6e77244e3d5a93a313ad147c7f08560bd5f291748f5410"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:56.385042Z","signature_b64":"VcbiCDKuQBEk/EPmKt9fDYDPQDBWQS3kcwzhCSbz6tRDoHg6VYQkpwMPEpf0nPv/3NL3JMjasMXqNhTyg9EQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f394886fcee1490e52667c21fadbf0320dc06eeb467d960c477cdf2d325ff877","last_reissued_at":"2026-05-18T02:55:56.384513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:56.384513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The quasispecies regime for the simple genetic algorithm with ranking selection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NE"],"primary_cat":"math.PR","authors_text":"Rapha\\\"el Cerf","submitted_at":"2014-03-21T11:45:05Z","abstract_excerpt":"We study the simple genetic algorithm with a ranking selection mechanism (linear ranking or tournament). We denote by $\\ell$ the length of the chromosomes, by $m$ the population size, by $p_C$ the crossover probability and by $p_M$ the mutation probability. We introduce a parameter $\\sigma$, called the selection drift, which measures the selection intensity of the fittest chromosome. We show that the dynamics of the genetic algorithm depend in a critical way on the parameter $$\\pi \\,=\\,\\sigma(1-p_C)(1-p_M)^\\ell\\,.$$ If $\\pi<1$, then the genetic algorithm operates in a disordered regime: an adv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5427","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1403.5427","created_at":"2026-05-18T02:55:56.384598+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.5427v1","created_at":"2026-05-18T02:55:56.384598+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5427","created_at":"2026-05-18T02:55:56.384598+00:00"},{"alias_kind":"pith_short_12","alias_value":"6OKIQ36O4FEQ","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6OKIQ36O4FEQ4UTG","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6OKIQ36O","created_at":"2026-05-18T12:28:16.859392+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI","json":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI.json","graph_json":"https://pith.science/api/pith-number/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/graph.json","events_json":"https://pith.science/api/pith-number/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/events.json","paper":"https://pith.science/paper/6OKIQ36O"},"agent_actions":{"view_html":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI","download_json":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI.json","view_paper":"https://pith.science/paper/6OKIQ36O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.5427&json=true","fetch_graph":"https://pith.science/api/pith-number/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/graph.json","fetch_events":"https://pith.science/api/pith-number/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/action/storage_attestation","attest_author":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/action/author_attestation","sign_citation":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/action/citation_signature","submit_replication":"https://pith.science/pith/6OKIQ36O4FEQ4UTGPQQ7VW7QGI/action/replication_record"}},"created_at":"2026-05-18T02:55:56.384598+00:00","updated_at":"2026-05-18T02:55:56.384598+00:00"}