{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3GBLEOLKCVAA3A7MESWBUBTAKO","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":"3ee52275cd44085a31ea2f276df9d0d474f7209edb43f57883907f408026f665","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-17T06:14:33Z","title_canon_sha256":"6ab63471b68589504f624b40262aa9bac9bb3c34c1f8e2304ad8f614c6e610d2"},"schema_version":"1.0","source":{"id":"1509.05141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05141","created_at":"2026-05-18T01:32:49Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05141v1","created_at":"2026-05-18T01:32:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05141","created_at":"2026-05-18T01:32:49Z"},{"alias_kind":"pith_short_12","alias_value":"3GBLEOLKCVAA","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3GBLEOLKCVAA3A7M","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3GBLEOLK","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:9ac68dd829038e6d5440fdf86a7e6872b0397daa5e0ba41c2596d7b25bf415a8","target":"graph","created_at":"2026-05-18T01:32:49Z","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":"An optimization problem considering AC power flow constraints and integer decision variables can usually be posed as a mixed-integer quadratically constrained quadratic program (MIQCQP) problem. In this paper, first, a set of valid linear equalities are applied to strengthen the semidefinite program (SDP) relaxation of the MIQCQP problem without significantly increasing the problem dimension so that an enhanced mixed-integer SDP (MISDP) relaxation, which is a mixed-integer convex problem, is obtained. Then, the enhanced MISDP relaxation is reformulated as a disjunctive programming (DP) problem","authors_text":"Qifeng Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-17T06:14:33Z","title":"A Tight SDP Relaxation for MIQCQP Problems in Power Systems Based on Disjunctive Programming"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05141","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:d0375fe093631f5c08fef09460cf2e0819bd4d97f9ca2c3a38ae156a613f5c9d","target":"record","created_at":"2026-05-18T01:32:49Z","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":"3ee52275cd44085a31ea2f276df9d0d474f7209edb43f57883907f408026f665","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-17T06:14:33Z","title_canon_sha256":"6ab63471b68589504f624b40262aa9bac9bb3c34c1f8e2304ad8f614c6e610d2"},"schema_version":"1.0","source":{"id":"1509.05141","kind":"arxiv","version":1}},"canonical_sha256":"d982b2396a15400d83ec24ac1a0660538dbd76f5194761a7783d809997fbf070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d982b2396a15400d83ec24ac1a0660538dbd76f5194761a7783d809997fbf070","first_computed_at":"2026-05-18T01:32:49.782225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:49.782225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"abdT0RMgpzqiiYUaeYOO6wp1BBDWIKw9usjue6UFp4NwgHssAsA2yu/KJrvsnMz3BU5tUvMaV+2eY6NVbvoGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:49.782903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0375fe093631f5c08fef09460cf2e0819bd4d97f9ca2c3a38ae156a613f5c9d","sha256:9ac68dd829038e6d5440fdf86a7e6872b0397daa5e0ba41c2596d7b25bf415a8"],"state_sha256":"bff588efb25a8393cb195ffdcd937f87c5c8b42cfbc93b042f77426212f05bc2"}