{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XGYNGG4N6JWTUEOF2BTYDZBOAE","short_pith_number":"pith:XGYNGG4N","canonical_record":{"source":{"id":"1803.08783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-23T13:19:49Z","cross_cats_sorted":[],"title_canon_sha256":"2568120b0adef232b5f5a16f638ad4298282bf49f34d0a937ca5f31e5ae5fb11","abstract_canon_sha256":"64eb65f715cc30de63e7fb2846330801ecfa058cb496053c8e78e3bafd45a7a5"},"schema_version":"1.0"},"canonical_sha256":"b9b0d31b8df26d3a11c5d06781e42e0136372718ba486911f3f2bcf21018cb9c","source":{"kind":"arxiv","id":"1803.08783","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08783","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08783v2","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08783","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"pith_short_12","alias_value":"XGYNGG4N6JWT","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XGYNGG4N6JWTUEOF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XGYNGG4N","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XGYNGG4N6JWTUEOF2BTYDZBOAE","target":"record","payload":{"canonical_record":{"source":{"id":"1803.08783","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-23T13:19:49Z","cross_cats_sorted":[],"title_canon_sha256":"2568120b0adef232b5f5a16f638ad4298282bf49f34d0a937ca5f31e5ae5fb11","abstract_canon_sha256":"64eb65f715cc30de63e7fb2846330801ecfa058cb496053c8e78e3bafd45a7a5"},"schema_version":"1.0"},"canonical_sha256":"b9b0d31b8df26d3a11c5d06781e42e0136372718ba486911f3f2bcf21018cb9c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:34.167217Z","signature_b64":"K4wABxz3ReEV5KfXCj3gxaMan50frwHiq7YcUkccLJe7tgPrdCJ4PLHRKM+w+gzOFx4DctqTuKdGzRbw8cedAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9b0d31b8df26d3a11c5d06781e42e0136372718ba486911f3f2bcf21018cb9c","last_reissued_at":"2026-05-17T23:50:34.166613Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:34.166613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.08783","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0cXzpyCNBVjP3oFmNoC/GV6VWg8obgm4tuEfhWrKh8HOm1Dh+P7Gauo3mNzLcC4jiceNd5vV8HlUiZ/2yY36AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:00:20.450956Z"},"content_sha256":"cd57630bb839d314dfed829db2b62e6794bcf49211f85cbb5b314ecd8ea30671","schema_version":"1.0","event_id":"sha256:cd57630bb839d314dfed829db2b62e6794bcf49211f85cbb5b314ecd8ea30671"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XGYNGG4N6JWTUEOF2BTYDZBOAE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secant and Popov-like Conditions in Power Network Stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ioannis Lestas, Nima Monshizadeh","submitted_at":"2018-03-23T13:19:49Z","abstract_excerpt":"The problem of decentralized frequency control in power networks has received an increasing attention in recent years due to its significance in modern power systems and smart grids. Nevertheless, generation dynamics including turbine-governor dynamics, in conjunction with nonlinearities associated with generation and power flow, increase significantly the complexity in the analysis, and are not adequately addressed in the literature. In this paper we show how incremental secant gain conditions can be used in this context to deduce decentralized stability conditions with reduced conservatism. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08783","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PtDplgcGKkVYIBhmnQGj+U9yjoY2f/yFi6m0U2xTGp30/n78CkRInxbnl5NFPOuWzkB3M9Czxq7+2ZMPnQlcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:00:20.451305Z"},"content_sha256":"abb44b5193ea68c594b7a91e6b0e327f6808420774281484fedece21aaea53ce","schema_version":"1.0","event_id":"sha256:abb44b5193ea68c594b7a91e6b0e327f6808420774281484fedece21aaea53ce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE/bundle.json","state_url":"https://pith.science/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T22:00:20Z","links":{"resolver":"https://pith.science/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE","bundle":"https://pith.science/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE/bundle.json","state":"https://pith.science/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGYNGG4N6JWTUEOF2BTYDZBOAE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XGYNGG4N6JWTUEOF2BTYDZBOAE","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":"64eb65f715cc30de63e7fb2846330801ecfa058cb496053c8e78e3bafd45a7a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-23T13:19:49Z","title_canon_sha256":"2568120b0adef232b5f5a16f638ad4298282bf49f34d0a937ca5f31e5ae5fb11"},"schema_version":"1.0","source":{"id":"1803.08783","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.08783","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"arxiv_version","alias_value":"1803.08783v2","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.08783","created_at":"2026-05-17T23:50:34Z"},{"alias_kind":"pith_short_12","alias_value":"XGYNGG4N6JWT","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XGYNGG4N6JWTUEOF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XGYNGG4N","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:abb44b5193ea68c594b7a91e6b0e327f6808420774281484fedece21aaea53ce","target":"graph","created_at":"2026-05-17T23:50:34Z","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 problem of decentralized frequency control in power networks has received an increasing attention in recent years due to its significance in modern power systems and smart grids. Nevertheless, generation dynamics including turbine-governor dynamics, in conjunction with nonlinearities associated with generation and power flow, increase significantly the complexity in the analysis, and are not adequately addressed in the literature. In this paper we show how incremental secant gain conditions can be used in this context to deduce decentralized stability conditions with reduced conservatism. ","authors_text":"Ioannis Lestas, Nima Monshizadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-23T13:19:49Z","title":"Secant and Popov-like Conditions in Power Network Stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.08783","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:cd57630bb839d314dfed829db2b62e6794bcf49211f85cbb5b314ecd8ea30671","target":"record","created_at":"2026-05-17T23:50:34Z","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":"64eb65f715cc30de63e7fb2846330801ecfa058cb496053c8e78e3bafd45a7a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-03-23T13:19:49Z","title_canon_sha256":"2568120b0adef232b5f5a16f638ad4298282bf49f34d0a937ca5f31e5ae5fb11"},"schema_version":"1.0","source":{"id":"1803.08783","kind":"arxiv","version":2}},"canonical_sha256":"b9b0d31b8df26d3a11c5d06781e42e0136372718ba486911f3f2bcf21018cb9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9b0d31b8df26d3a11c5d06781e42e0136372718ba486911f3f2bcf21018cb9c","first_computed_at":"2026-05-17T23:50:34.166613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:34.166613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K4wABxz3ReEV5KfXCj3gxaMan50frwHiq7YcUkccLJe7tgPrdCJ4PLHRKM+w+gzOFx4DctqTuKdGzRbw8cedAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:34.167217Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.08783","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd57630bb839d314dfed829db2b62e6794bcf49211f85cbb5b314ecd8ea30671","sha256:abb44b5193ea68c594b7a91e6b0e327f6808420774281484fedece21aaea53ce"],"state_sha256":"29979c18f79204115e258930685afd83a206e496cd66d0a7c4f719a9bdb0c57e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dcgzDcvJaGgjFjryoTNJb1JI4Bq+TTemnhMRMbYTxtavbeKTzGzF6kLm3Etid7kRDUbgICRCktYQtsl6urrnCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:00:20.453247Z","bundle_sha256":"25f36c0248a310cf7177a379a520e4ad1449ec6385662267767d61ef3bd0ff85"}}