{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RRQOVZMMAZJY5RADOUKCLI6THG","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":"ff27359120344ba2f88d546250bde2c9705cafda1cf272809c050e204a960407","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-04-14T10:00:48Z","title_canon_sha256":"8a2c79e5c8ae760eaa77f02535b0865ff4a92f69302947a74bfcf76d60062a87"},"schema_version":"1.0","source":{"id":"1404.3520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3520","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3520v1","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3520","created_at":"2026-05-18T02:41:03Z"},{"alias_kind":"pith_short_12","alias_value":"RRQOVZMMAZJY","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RRQOVZMMAZJY5RAD","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RRQOVZMM","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:4676af0cc084e011e40a50c80b8bb39a59463cf4312e1cb324baf770e9399b62","target":"graph","created_at":"2026-05-18T02:41:03Z","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":"Evolutionary algorithms are well suited for solving the knapsack problem. Some empirical studies claim that evolutionary algorithms can produce good solutions to the 0-1 knapsack problem. Nonetheless, few rigorous investigations address the quality of solutions that evolutionary algorithms may produce for the knapsack problem. The current paper focuses on a theoretical investigation of three types of (N+1) evolutionary algorithms that exploit bitwise mutation, truncation selection, plus different repair methods for the 0-1 knapsack problem. It assesses the solution quality in terms of the appr","authors_text":"Boris Mitavskiy, Jun He, Yuren Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-04-14T10:00:48Z","title":"A Theoretical Assessment of Solution Quality in Evolutionary Algorithms for the Knapsack Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3520","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":"sha256:4172a4727fc4d8b7214c0c0d16e102ff4c03a8f87fb2cb2553c28d76bd29e7ce","target":"record","created_at":"2026-05-18T02:41:03Z","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":"ff27359120344ba2f88d546250bde2c9705cafda1cf272809c050e204a960407","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2014-04-14T10:00:48Z","title_canon_sha256":"8a2c79e5c8ae760eaa77f02535b0865ff4a92f69302947a74bfcf76d60062a87"},"schema_version":"1.0","source":{"id":"1404.3520","kind":"arxiv","version":1}},"canonical_sha256":"8c60eae58c06538ec403751425a3d339b721e3904980c932756a29563da391d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8c60eae58c06538ec403751425a3d339b721e3904980c932756a29563da391d4","first_computed_at":"2026-05-18T02:41:03.627193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:03.627193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"udB7eod0YAlvK55UO7nM7xw3ggkfqOuJXnCTv+p85RwkSzK4lUvs+Nmi7qzEZO54+a4w9lhAh3X31JUX5IySAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:03.627571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4172a4727fc4d8b7214c0c0d16e102ff4c03a8f87fb2cb2553c28d76bd29e7ce","sha256:4676af0cc084e011e40a50c80b8bb39a59463cf4312e1cb324baf770e9399b62"],"state_sha256":"708d5776ec32ea0e02486afbf324a6a4d971a8720e3781cdd7fbc9b2ac8d5fa3"}