{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:67BAQZNR77ZG2RRE4KLDEMV73I","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":"c5614cd6daebaf67b32f5319329d1cca33b1fd98d29696639e7b706d7abf4d8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-04T18:46:23Z","title_canon_sha256":"1c011d0c0b4d00fa5141b9b04b27a1844c8a36cee20cafc2427cf05ee1627afd"},"schema_version":"1.0","source":{"id":"1812.01588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01588","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01588v1","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01588","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"67BAQZNR77ZG","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"67BAQZNR77ZG2RRE","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"67BAQZNR","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:884c68fcf0226f3f0edcf91256adb5222045d1ebf66b85699ef44acf9a2dbea1","target":"graph","created_at":"2026-05-17T23:59:10Z","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":"To coordinate the economy, security and environment protection in the power system operation, a two-step many-objective optimal power flow (MaOPF) solution method is proposed. In step 1, it is the first time that knee point-driven evolutionary algorithm (KnEA) is introduced to address the MaOPF problem, and thereby the Pareto-optimal solutions can be obtained. In step 2, an integrated decision analysis technique is utilized to provide decision makers with decision supports by combining fuzzy c-means (FCM) clustering and grey relational projection (GRP) method together. In this way, the best co","authors_text":"Yahui Li, Yang Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-04T18:46:23Z","title":"Two-Step Many-Objective Optimal Power Flow Based on Knee Point-Driven Evolutionary Algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01588","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":"sha256:994af2d0d3cc6534b22c674ccd0b978fbf90e34c7039653864651c213447ccd1","target":"record","created_at":"2026-05-17T23:59:10Z","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":"c5614cd6daebaf67b32f5319329d1cca33b1fd98d29696639e7b706d7abf4d8b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-04T18:46:23Z","title_canon_sha256":"1c011d0c0b4d00fa5141b9b04b27a1844c8a36cee20cafc2427cf05ee1627afd"},"schema_version":"1.0","source":{"id":"1812.01588","kind":"arxiv","version":1}},"canonical_sha256":"f7c20865b1fff26d4624e2963232bfda14ab7c2164db6474148f1c53cb84d4e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7c20865b1fff26d4624e2963232bfda14ab7c2164db6474148f1c53cb84d4e5","first_computed_at":"2026-05-17T23:59:10.439950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:10.439950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ipm/ZN52Kp1zfj3iIS6zm2Aiwtau0fbQ8No1gVyP7+AYs6hUwN7gnDyYJqLbqYRfdvVqdDvOfrjAjJBAMK9CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:10.440598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:994af2d0d3cc6534b22c674ccd0b978fbf90e34c7039653864651c213447ccd1","sha256:884c68fcf0226f3f0edcf91256adb5222045d1ebf66b85699ef44acf9a2dbea1"],"state_sha256":"40e62188b79e4e01736f873b04ef53ce1898e63d8c791e4910f3ca04816bf3c3"}