{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SQV6P3FKDF6W2LGVUREY2X5WGA","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":"5d14824d1b869608ccf87cb26636cbff823611f01a2433c44f4ec646b020c354","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-05T17:41:33Z","title_canon_sha256":"75560e103ee048677f8620f385533299230a9deb887ab6fc4c77ab2c9798c958"},"schema_version":"1.0","source":{"id":"1409.1889","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.1889","created_at":"2026-05-18T00:31:45Z"},{"alias_kind":"arxiv_version","alias_value":"1409.1889v3","created_at":"2026-05-18T00:31:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.1889","created_at":"2026-05-18T00:31:45Z"},{"alias_kind":"pith_short_12","alias_value":"SQV6P3FKDF6W","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SQV6P3FKDF6W2LGV","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SQV6P3FK","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:7a931a9340dcdffcd47636629af5c4f26210e0f586571748e51dace0858906a4","target":"graph","created_at":"2026-05-18T00:31:45Z","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":"Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the system. The approach generalizes the idea of energy methods, and extends the concept of energy function to a more general Lyapunov Functions Family (LFF) constructed via Semi-Definite-Programming techniques. Unlike the traditional energy function and its variations, the constructed Lyapunov functions are proven to be decreasing only in a finite neighborhood","authors_text":"Konstantin Turitsyn, Thanh Long Vu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-05T17:41:33Z","title":"Lyapunov Functions Family Approach to Transient Stability Assessment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.1889","kind":"arxiv","version":3},"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":"sha256:1643060d7b88863394a1f384650870ffd58e7f32896e5caec9f5ef8161fe57c7","target":"record","created_at":"2026-05-18T00:31:45Z","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":"5d14824d1b869608ccf87cb26636cbff823611f01a2433c44f4ec646b020c354","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-09-05T17:41:33Z","title_canon_sha256":"75560e103ee048677f8620f385533299230a9deb887ab6fc4c77ab2c9798c958"},"schema_version":"1.0","source":{"id":"1409.1889","kind":"arxiv","version":3}},"canonical_sha256":"942be7ecaa197d6d2cd5a4498d5fb63035b2927f0bcfa82ae6989c4ef981e99c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"942be7ecaa197d6d2cd5a4498d5fb63035b2927f0bcfa82ae6989c4ef981e99c","first_computed_at":"2026-05-18T00:31:45.583254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:45.583254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZvJxQVE9qILxlpO4l0ZvsRMIMv12nTrd0BN45D7g7hXapYJnTPyXTQWXXZZPbxDaopcnX2JEls8V5tqyWj0WDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:45.583854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.1889","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1643060d7b88863394a1f384650870ffd58e7f32896e5caec9f5ef8161fe57c7","sha256:7a931a9340dcdffcd47636629af5c4f26210e0f586571748e51dace0858906a4"],"state_sha256":"bd336fb6755513a7f05c06d6f78ca7dde205373975fcf7169ec77fae25124aef"}