{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZGPB4QYUFFHPNTXQ6NH55M3CUL","short_pith_number":"pith:ZGPB4QYU","schema_version":"1.0","canonical_sha256":"c99e1e4314294ef6cef0f34fdeb362a2f4b58d995c1e6429b9686fea35b99167","source":{"kind":"arxiv","id":"1509.07946","version":1},"attestation_state":"computed","paper":{"title":"A Revisit of Infinite Population Models for Evolutionary Algorithms on Continuous Optimization Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.NE","authors_text":"Bo Song, Victor O.K. Li","submitted_at":"2015-09-26T05:36:00Z","abstract_excerpt":"Infinite population models are important tools for studying population dynamics of evolutionary algorithms. They describe how the distributions of populations change between consecutive generations. In general, infinite population models are derived from Markov chains by exploiting symmetries between individuals in the population and analyzing the limit as the population size goes to infinity. In this paper, we study the theoretical foundations of infinite population models of evolutionary algorithms on continuous optimization problems. First, we show that the convergence proofs in a widely ci"},"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":"1509.07946","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2015-09-26T05:36:00Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"5d98625f3aea4613517b04edad41e2e6851a7793976019c1d470577c1f2f09ea","abstract_canon_sha256":"28480f2bc42f32abace254c623ce6753ae842aa2ab2c980c3c6c65d67ea6da07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:55.063824Z","signature_b64":"oQUtBFW6Kgps8qG5mwA/vWOJ5+889fHuuJ+ZnYwFu95KkRPfI7fKzEDjU1bPHlcaAA6+TBANaH0Q6g07ER/UAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c99e1e4314294ef6cef0f34fdeb362a2f4b58d995c1e6429b9686fea35b99167","last_reissued_at":"2026-05-18T01:31:55.063456Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:55.063456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Revisit of Infinite Population Models for Evolutionary Algorithms on Continuous Optimization Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.NE","authors_text":"Bo Song, Victor O.K. Li","submitted_at":"2015-09-26T05:36:00Z","abstract_excerpt":"Infinite population models are important tools for studying population dynamics of evolutionary algorithms. They describe how the distributions of populations change between consecutive generations. In general, infinite population models are derived from Markov chains by exploiting symmetries between individuals in the population and analyzing the limit as the population size goes to infinity. In this paper, we study the theoretical foundations of infinite population models of evolutionary algorithms on continuous optimization problems. First, we show that the convergence proofs in a widely ci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07946","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":"1509.07946","created_at":"2026-05-18T01:31:55.063515+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.07946v1","created_at":"2026-05-18T01:31:55.063515+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07946","created_at":"2026-05-18T01:31:55.063515+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZGPB4QYUFFHP","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZGPB4QYUFFHPNTXQ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZGPB4QYU","created_at":"2026-05-18T12:29:52.810259+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/ZGPB4QYUFFHPNTXQ6NH55M3CUL","json":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL.json","graph_json":"https://pith.science/api/pith-number/ZGPB4QYUFFHPNTXQ6NH55M3CUL/graph.json","events_json":"https://pith.science/api/pith-number/ZGPB4QYUFFHPNTXQ6NH55M3CUL/events.json","paper":"https://pith.science/paper/ZGPB4QYU"},"agent_actions":{"view_html":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL","download_json":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL.json","view_paper":"https://pith.science/paper/ZGPB4QYU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.07946&json=true","fetch_graph":"https://pith.science/api/pith-number/ZGPB4QYUFFHPNTXQ6NH55M3CUL/graph.json","fetch_events":"https://pith.science/api/pith-number/ZGPB4QYUFFHPNTXQ6NH55M3CUL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL/action/storage_attestation","attest_author":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL/action/author_attestation","sign_citation":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL/action/citation_signature","submit_replication":"https://pith.science/pith/ZGPB4QYUFFHPNTXQ6NH55M3CUL/action/replication_record"}},"created_at":"2026-05-18T01:31:55.063515+00:00","updated_at":"2026-05-18T01:31:55.063515+00:00"}