{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SZJPHECXQ7FOJLHANE44RBUXY5","short_pith_number":"pith:SZJPHECX","canonical_record":{"source":{"id":"1012.3098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2010-12-14T17:30:47Z","cross_cats_sorted":["nlin.AO","q-bio.PE"],"title_canon_sha256":"65fbaf5852469a9beefc3ea959ce364159f2b565a6c3cb0f4a35b2b63202b150","abstract_canon_sha256":"6333993a6d1605c295f141d7db9c697fdb7d0621f913708a8d108edb5ac9d071"},"schema_version":"1.0"},"canonical_sha256":"9652f3905787cae4ace06939c88697c753443d02f1816357ceed24fe6085720c","source":{"kind":"arxiv","id":"1012.3098","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3098","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3098v1","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3098","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"SZJPHECXQ7FO","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SZJPHECXQ7FOJLHA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SZJPHECX","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SZJPHECXQ7FOJLHANE44RBUXY5","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2010-12-14T17:30:47Z","cross_cats_sorted":["nlin.AO","q-bio.PE"],"title_canon_sha256":"65fbaf5852469a9beefc3ea959ce364159f2b565a6c3cb0f4a35b2b63202b150","abstract_canon_sha256":"6333993a6d1605c295f141d7db9c697fdb7d0621f913708a8d108edb5ac9d071"},"schema_version":"1.0"},"canonical_sha256":"9652f3905787cae4ace06939c88697c753443d02f1816357ceed24fe6085720c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:18.629360Z","signature_b64":"OZD/wFLUiDHXnCOfWj0Sbi+R/E/MyMMV5FQJyRUgQ7WCwLAq3A3b1SZh4ma4jcP1snKVaUN74pkGNtLGcxDyBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9652f3905787cae4ace06939c88697c753443d02f1816357ceed24fe6085720c","last_reissued_at":"2026-05-18T04:33:18.628761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:18.628761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3098","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gvd17TkeAfF+0Dd1r+upzzahlfr8y7jkFC3SdjDLmb6IPFVI97nwyWPpGM2SVgSjLhc5eVrpAmvYDaIIF430Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:30:19.079012Z"},"content_sha256":"13dcaff4a94aa7586107aa4cf9601a156657fc86be5fc3191dd40c2813f99e57","schema_version":"1.0","event_id":"sha256:13dcaff4a94aa7586107aa4cf9601a156657fc86be5fc3191dd40c2813f99e57"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SZJPHECXQ7FOJLHANE44RBUXY5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Impact of Mutation-Selection Balance on the Runtime of Evolutionary Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO","q-bio.PE"],"primary_cat":"cs.NE","authors_text":"Per Kristian Lehre, Xin Yao","submitted_at":"2010-12-14T17:30:47Z","abstract_excerpt":"The interplay between mutation and selection plays a fundamental role in the behaviour of evolutionary algorithms (EAs). However, this interplay is still not completely understood. This paper presents a rigorous runtime analysis of a non-elitist population-based EA that uses the linear ranking selection mechanism. The analysis focuses on how the balance between parameter $\\eta$, controlling the selection pressure in linear ranking, and parameter $\\chi$ controlling the bit-wise mutation rate, impacts the runtime of the algorithm. The results point out situations where a correct balance between "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3098","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MYQFYdltevFC/BuVtZbYsCftD0ZAiYGUHOQwss+MvZjgaiC0S4Uc72a1419wCncTqEwmuCSGnz8XeXsfvIxJBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:30:19.079376Z"},"content_sha256":"b4bf68303569f1476c4c5abd467ac04d6e3210f2526dc4ec8b97ac4b868c4e02","schema_version":"1.0","event_id":"sha256:b4bf68303569f1476c4c5abd467ac04d6e3210f2526dc4ec8b97ac4b868c4e02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZJPHECXQ7FOJLHANE44RBUXY5/bundle.json","state_url":"https://pith.science/pith/SZJPHECXQ7FOJLHANE44RBUXY5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZJPHECXQ7FOJLHANE44RBUXY5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T02:30:19Z","links":{"resolver":"https://pith.science/pith/SZJPHECXQ7FOJLHANE44RBUXY5","bundle":"https://pith.science/pith/SZJPHECXQ7FOJLHANE44RBUXY5/bundle.json","state":"https://pith.science/pith/SZJPHECXQ7FOJLHANE44RBUXY5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZJPHECXQ7FOJLHANE44RBUXY5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SZJPHECXQ7FOJLHANE44RBUXY5","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":"6333993a6d1605c295f141d7db9c697fdb7d0621f913708a8d108edb5ac9d071","cross_cats_sorted":["nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2010-12-14T17:30:47Z","title_canon_sha256":"65fbaf5852469a9beefc3ea959ce364159f2b565a6c3cb0f4a35b2b63202b150"},"schema_version":"1.0","source":{"id":"1012.3098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3098","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3098v1","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3098","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"SZJPHECXQ7FO","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SZJPHECXQ7FOJLHA","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SZJPHECX","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:b4bf68303569f1476c4c5abd467ac04d6e3210f2526dc4ec8b97ac4b868c4e02","target":"graph","created_at":"2026-05-18T04:33:18Z","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":"The interplay between mutation and selection plays a fundamental role in the behaviour of evolutionary algorithms (EAs). However, this interplay is still not completely understood. This paper presents a rigorous runtime analysis of a non-elitist population-based EA that uses the linear ranking selection mechanism. The analysis focuses on how the balance between parameter $\\eta$, controlling the selection pressure in linear ranking, and parameter $\\chi$ controlling the bit-wise mutation rate, impacts the runtime of the algorithm. The results point out situations where a correct balance between ","authors_text":"Per Kristian Lehre, Xin Yao","cross_cats":["nlin.AO","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2010-12-14T17:30:47Z","title":"On the Impact of Mutation-Selection Balance on the Runtime of Evolutionary Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3098","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":"sha256:13dcaff4a94aa7586107aa4cf9601a156657fc86be5fc3191dd40c2813f99e57","target":"record","created_at":"2026-05-18T04:33:18Z","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":"6333993a6d1605c295f141d7db9c697fdb7d0621f913708a8d108edb5ac9d071","cross_cats_sorted":["nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2010-12-14T17:30:47Z","title_canon_sha256":"65fbaf5852469a9beefc3ea959ce364159f2b565a6c3cb0f4a35b2b63202b150"},"schema_version":"1.0","source":{"id":"1012.3098","kind":"arxiv","version":1}},"canonical_sha256":"9652f3905787cae4ace06939c88697c753443d02f1816357ceed24fe6085720c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9652f3905787cae4ace06939c88697c753443d02f1816357ceed24fe6085720c","first_computed_at":"2026-05-18T04:33:18.628761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:18.628761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OZD/wFLUiDHXnCOfWj0Sbi+R/E/MyMMV5FQJyRUgQ7WCwLAq3A3b1SZh4ma4jcP1snKVaUN74pkGNtLGcxDyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:18.629360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13dcaff4a94aa7586107aa4cf9601a156657fc86be5fc3191dd40c2813f99e57","sha256:b4bf68303569f1476c4c5abd467ac04d6e3210f2526dc4ec8b97ac4b868c4e02"],"state_sha256":"081c186c3a16f4c7cb46fe81bb2bb4e453e4e5e248b62acfd4194b140df71c92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zwCXrZK1k6iyu0td52cwQIhp6BZUiK9ProkvM9MBLw7R5dIhd7vOxWxmg1GSs+dE/wLoG9zVCyubDzo+sHqTBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:30:19.081514Z","bundle_sha256":"82f7267811a604bdd81d060ef1dc79d5bd4aa4fa08c3ed888b86d8b3748f3646"}}