{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZL5UCK4M3K5NDIRSWC4OLZTXXG","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":"ad775a7907652c403756c7a62bdfacf639807364f2828d25cbd176b79e3ce76c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-06-30T04:56:49Z","title_canon_sha256":"144ae25cd57aba28a7111c0a4260ef26a6110c0430ef1611a15bba9c4e717adc"},"schema_version":"1.0","source":{"id":"1207.0048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.0048","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"1207.0048v2","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.0048","created_at":"2026-05-18T03:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"ZL5UCK4M3K5N","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZL5UCK4M3K5NDIRS","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZL5UCK4M","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:7e05f21b11189886d9006c8b41715ca405fe6a840c47b2fc5993dea8106f83fa","target":"graph","created_at":"2026-05-18T03:40:02Z","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":"The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn from the main grid and supplied by the DG units over a given time horizon, while meeting the overall load demand and effecting voltage regulation. Similar to optimal power flow counterparts for balanced systems, the resultant optimization problem is nonconvex. Nevertheless, a semidefinite programming (SDP) relaxation technique is advocated to obtain a (rela","authors_text":"Bruce F. Wollenberg, Emiliano Dall'Anese, Georgios B. Giannakis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-06-30T04:56:49Z","title":"Economic Dispatch in Unbalanced Distribution Networks via Semidefinite Relaxation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0048","kind":"arxiv","version":2},"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":"sha256:6e8c72031cda6f6fa1a6bae3361112411430c2df4968ca557ccb178ab9345ae4","target":"record","created_at":"2026-05-18T03:40:02Z","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":"ad775a7907652c403756c7a62bdfacf639807364f2828d25cbd176b79e3ce76c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-06-30T04:56:49Z","title_canon_sha256":"144ae25cd57aba28a7111c0a4260ef26a6110c0430ef1611a15bba9c4e717adc"},"schema_version":"1.0","source":{"id":"1207.0048","kind":"arxiv","version":2}},"canonical_sha256":"cafb412b8cdabad1a232b0b8e5e677b9982af9d3b1e66965d1ce8154bdcb7835","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cafb412b8cdabad1a232b0b8e5e677b9982af9d3b1e66965d1ce8154bdcb7835","first_computed_at":"2026-05-18T03:40:02.902995Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:02.902995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YyYVzjUIBMnOa6luXvgKjdcE4uWN9WQVeylqE4sT0Op1NP8CNjnDsfxBXSFgdDPrabdp5f6HqQG3z02pRzf6Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:02.903498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.0048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e8c72031cda6f6fa1a6bae3361112411430c2df4968ca557ccb178ab9345ae4","sha256:7e05f21b11189886d9006c8b41715ca405fe6a840c47b2fc5993dea8106f83fa"],"state_sha256":"67b70399fa66c968558d208c39f0b55adee1dd7cd1d1ae134695c6bcff63d2ba"}