{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TQMUEGDIPNNIRSWG4H5IBP54XK","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":"b67f0915ba070ddbb19113c777278b0968f322cbc594053ad814c32bf4ecef7d","cross_cats_sorted":["cs.SY","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-08T03:29:18Z","title_canon_sha256":"b6467d59a873731912823791900a0e82b75dcd3de436b427c0d5f17551be023a"},"schema_version":"1.0","source":{"id":"1307.1940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1940","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1940v1","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1940","created_at":"2026-05-18T03:19:03Z"},{"alias_kind":"pith_short_12","alias_value":"TQMUEGDIPNNI","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TQMUEGDIPNNIRSWG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TQMUEGDI","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:25580070786d5a9b0abedc623faafb117145b2a9fb1f278afa6cc4d83e0233fa","target":"graph","created_at":"2026-05-18T03:19:03Z","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":"We explore optimization methods for planning the placement, sizing and operations of Flexible Alternating Current Transmission System (FACTS) devices installed into the grid to relieve congestion created by load growth or fluctuations of intermittent renewable generation. We limit our selection of FACTS devices to those that can be represented by modification of the inductance of the transmission lines. Our master optimization problem minimizes the $l_1$ norm of the FACTS-associated inductance correction subject to constraints enforcing that no line of the system exceeds its thermal limit. We ","authors_text":"Misha Chertkov, Scott Backhaus, Vladimir Frolov","cross_cats":["cs.SY","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-08T03:29:18Z","title":"Reinforcing Power Grid Transmission with FACTS Devices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1940","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":"sha256:3b23ded8ca5e673619799b890c0fca7b3f9df245d66d15dac5967dbfb041c385","target":"record","created_at":"2026-05-18T03:19:03Z","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":"b67f0915ba070ddbb19113c777278b0968f322cbc594053ad814c32bf4ecef7d","cross_cats_sorted":["cs.SY","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-08T03:29:18Z","title_canon_sha256":"b6467d59a873731912823791900a0e82b75dcd3de436b427c0d5f17551be023a"},"schema_version":"1.0","source":{"id":"1307.1940","kind":"arxiv","version":1}},"canonical_sha256":"9c194218687b5a88cac6e1fa80bfbcba97845f0dc5f27775f818c2bc51429172","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c194218687b5a88cac6e1fa80bfbcba97845f0dc5f27775f818c2bc51429172","first_computed_at":"2026-05-18T03:19:03.042819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:03.042819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5hljbiAPD0LHOZQY+4wWYboEp42Krdj6z9W+6aZs1tF/er9P4sVS7oPu8quBUhpPZrzmhEgs7xICNTaPDU+1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:03.043325Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b23ded8ca5e673619799b890c0fca7b3f9df245d66d15dac5967dbfb041c385","sha256:25580070786d5a9b0abedc623faafb117145b2a9fb1f278afa6cc4d83e0233fa"],"state_sha256":"a44a70c64d6dfac2c186d654eb2b738e8358b8e5004c7653b1a479b077966940"}