{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KMALMOYS4RSXYE5APHJGSYMEPH","short_pith_number":"pith:KMALMOYS","schema_version":"1.0","canonical_sha256":"5300b63b12e4657c13a079d269618479e414dd4bd0b50ab6e4a8a749df752264","source":{"kind":"arxiv","id":"1502.07847","version":2},"attestation_state":"computed","paper":{"title":"The QC Relaxation: Theoretical and Computational Results on Optimal Power Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.CE","authors_text":"Carleton Coffrin, Hassan L. Hijazi, Pascal Van Hentenryck","submitted_at":"2015-02-27T09:59:10Z","abstract_excerpt":"Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP) and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. The Quadratic Convex (QC) relaxation is a departure from these relaxations in the sense that it imposes constraints to preserve stronger links between the voltage variables through convex envelopes of the polar representation. This paper is a systematic study of the QC relaxation for AC Optimal Power Flow with realistic side constraints. The main theoretical result shows that the QC relaxation is str"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1502.07847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2015-02-27T09:59:10Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"ee421d60e0861522a5f886819ebdd35e266747f489d32965fbb528418be8ecf4","abstract_canon_sha256":"be773923224e07f57c74d862b057e384878b072aa2ef33c4d704494ed0aed609"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:10.959205Z","signature_b64":"OwSqvulW5F6f5R6J2tBOs2ZyYHJHW4YWNjNS+QgFa+4QfLEHIgE4JoVjxfCGUdPLXj093pJaygOqlyinBtTrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5300b63b12e4657c13a079d269618479e414dd4bd0b50ab6e4a8a749df752264","last_reissued_at":"2026-05-18T01:36:10.958588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:10.958588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The QC Relaxation: Theoretical and Computational Results on Optimal Power Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.CE","authors_text":"Carleton Coffrin, Hassan L. Hijazi, Pascal Van Hentenryck","submitted_at":"2015-02-27T09:59:10Z","abstract_excerpt":"Convex relaxations of the power flow equations and, in particular, the Semi-Definite Programming (SDP) and Second-Order Cone (SOC) relaxations, have attracted significant interest in recent years. The Quadratic Convex (QC) relaxation is a departure from these relaxations in the sense that it imposes constraints to preserve stronger links between the voltage variables through convex envelopes of the polar representation. This paper is a systematic study of the QC relaxation for AC Optimal Power Flow with realistic side constraints. The main theoretical result shows that the QC relaxation is str"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.07847","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1502.07847","created_at":"2026-05-18T01:36:10.958680+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.07847v2","created_at":"2026-05-18T01:36:10.958680+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.07847","created_at":"2026-05-18T01:36:10.958680+00:00"},{"alias_kind":"pith_short_12","alias_value":"KMALMOYS4RSX","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KMALMOYS4RSXYE5A","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KMALMOYS","created_at":"2026-05-18T12:29:29.992203+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH","json":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH.json","graph_json":"https://pith.science/api/pith-number/KMALMOYS4RSXYE5APHJGSYMEPH/graph.json","events_json":"https://pith.science/api/pith-number/KMALMOYS4RSXYE5APHJGSYMEPH/events.json","paper":"https://pith.science/paper/KMALMOYS"},"agent_actions":{"view_html":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH","download_json":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH.json","view_paper":"https://pith.science/paper/KMALMOYS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.07847&json=true","fetch_graph":"https://pith.science/api/pith-number/KMALMOYS4RSXYE5APHJGSYMEPH/graph.json","fetch_events":"https://pith.science/api/pith-number/KMALMOYS4RSXYE5APHJGSYMEPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH/action/storage_attestation","attest_author":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH/action/author_attestation","sign_citation":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH/action/citation_signature","submit_replication":"https://pith.science/pith/KMALMOYS4RSXYE5APHJGSYMEPH/action/replication_record"}},"created_at":"2026-05-18T01:36:10.958680+00:00","updated_at":"2026-05-18T01:36:10.958680+00:00"}