{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JVPOKPIAANPJFR4BAJYFWJJ4QA","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":"69e33a0d38e870ef2ae6cf0ca11396001445d40c4bff9b4b74f30f0c51300ec7","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2018-11-30T08:18:05Z","title_canon_sha256":"5ee348172d39c2917a86a6eefc0f13a64246a2fd9e18efb8a9b6cc5130564944"},"schema_version":"1.0","source":{"id":"1811.12667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.12667","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"arxiv_version","alias_value":"1811.12667v1","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.12667","created_at":"2026-05-17T23:59:28Z"},{"alias_kind":"pith_short_12","alias_value":"JVPOKPIAANPJ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"JVPOKPIAANPJFR4B","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"JVPOKPIA","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:bbcc9e18cff2281fe6e3aed85115ebf0f5c4407045aefdc5fb3e06c5e03b2762","target":"graph","created_at":"2026-05-17T23:59:28Z","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":"Non-dominated sorting genetic algorithm II (NSGA-II) does well in dealing with multi-objective problems. When evaluating validity of an algorithm for multi-objective problems, two kinds of indices are often considered simultaneously, i.e. the convergence to Pareto Front and the distribution characteristic. The crowding distance in the standard NSGA-II has the property that solutions within a cubic have the same crowding distance, which has no contribution to the convergence of the algorithm. Actually the closer to the Pareto Front a solution is, the higher priority it should have. In the paper","authors_text":"Xiangxiang Chu, Xinjie Yu","cross_cats":["cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2018-11-30T08:18:05Z","title":"Improved Crowding Distance for NSGA-II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.12667","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":"sha256:91bd53e8065abc0c72ac7072728a9fb74479925728f72b2b76037b78971ecc7b","target":"record","created_at":"2026-05-17T23:59:28Z","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":"69e33a0d38e870ef2ae6cf0ca11396001445d40c4bff9b4b74f30f0c51300ec7","cross_cats_sorted":["cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2018-11-30T08:18:05Z","title_canon_sha256":"5ee348172d39c2917a86a6eefc0f13a64246a2fd9e18efb8a9b6cc5130564944"},"schema_version":"1.0","source":{"id":"1811.12667","kind":"arxiv","version":1}},"canonical_sha256":"4d5ee53d00035e92c78102705b253c800c2e026eb269728fc3eaedcd9b1541ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d5ee53d00035e92c78102705b253c800c2e026eb269728fc3eaedcd9b1541ad","first_computed_at":"2026-05-17T23:59:28.873528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:28.873528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7lHJkpPuXJENnvIUVZ596b7X5PeQ5uprvS/kbv2n04rfxaz2AMsqVY/ia7k0xJFFAbiY3gWZug7OWlUKLEO6Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:28.874210Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.12667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91bd53e8065abc0c72ac7072728a9fb74479925728f72b2b76037b78971ecc7b","sha256:bbcc9e18cff2281fe6e3aed85115ebf0f5c4407045aefdc5fb3e06c5e03b2762"],"state_sha256":"e945fc02d8af5d0e28c57f1dd80e6c8352b096db33c134be80602216ba074e03"}