{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:G6XGYHIPBALPZDKDLOLMVPJWWB","short_pith_number":"pith:G6XGYHIP","canonical_record":{"source":{"id":"1509.07617","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-25T08:07:01Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"1baef418feb30b6e231af1bc5924875e994b3fca332bd2abe2033afb8b9cb75a","abstract_canon_sha256":"ad078386de582433ec9e64d49606acec9d28fdeeb21f867e8c67a49078e6532a"},"schema_version":"1.0"},"canonical_sha256":"37ae6c1d0f0816fc8d435b96cabd36b051dd238d67eeb033ad157bf0187cd87b","source":{"kind":"arxiv","id":"1509.07617","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07617","created_at":"2026-05-18T00:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07617v2","created_at":"2026-05-18T00:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07617","created_at":"2026-05-18T00:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"G6XGYHIPBALP","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G6XGYHIPBALPZDKD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G6XGYHIP","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:G6XGYHIPBALPZDKDLOLMVPJWWB","target":"record","payload":{"canonical_record":{"source":{"id":"1509.07617","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-25T08:07:01Z","cross_cats_sorted":["cs.SY"],"title_canon_sha256":"1baef418feb30b6e231af1bc5924875e994b3fca332bd2abe2033afb8b9cb75a","abstract_canon_sha256":"ad078386de582433ec9e64d49606acec9d28fdeeb21f867e8c67a49078e6532a"},"schema_version":"1.0"},"canonical_sha256":"37ae6c1d0f0816fc8d435b96cabd36b051dd238d67eeb033ad157bf0187cd87b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:46.742791Z","signature_b64":"+gdICeDlS7emh9zLfLdPorDeZvlPQYKK6/8qQtOil7I30Lqt2nAhqlY2e9ETXth5fWNoECThnFAguie14gTCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37ae6c1d0f0816fc8d435b96cabd36b051dd238d67eeb033ad157bf0187cd87b","last_reissued_at":"2026-05-18T00:38:46.742112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:46.742112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.07617","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":"2026-05-18T00:38:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bdrmj6hCQ+sy+IspQigWEokthP4TI0K0nAmjXIRnx1TgcTjQNX/UHobHzXz0T1gJdmcjvUPQcv2bWGcMb+l0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:35:13.208793Z"},"content_sha256":"2b64e610298bee32c59b7e69606bcf31ae8688d821d7e38bb581e2c3f8bad837","schema_version":"1.0","event_id":"sha256:2b64e610298bee32c59b7e69606bcf31ae8688d821d7e38bb581e2c3f8bad837"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:G6XGYHIPBALPZDKDLOLMVPJWWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal frequency regulation in nonlinear power networks including turbine-governor dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY"],"primary_cat":"math.OC","authors_text":"Claudio De Persis, Sebastian Trip","submitted_at":"2015-09-25T08:07:01Z","abstract_excerpt":"Motivated by an increase of renewable energy sources we propose a distributed optimal Load Frequency Control scheme achieving frequency regulation and economic dispatch. Based on an energy function of the power network we derive an incremental passivity property for a well known nonlinear structure preserving network model, differentiating between generator and load buses. Exploiting this property we design distributed controllers that adjust the power generation. Notably, we explicitly include the turbine-governor dynamics where first-order and the widely used second-order dynamics are analyz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07617","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":"2026-05-18T00:38:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EzzIRLnmQUgn5YxVg729pNBJwQHr3Lsvz7cELMtG+39GxueOFH2wKhsoj7qdcIC0JJ6u9NsCpaz8HJkl6HYFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:35:13.209463Z"},"content_sha256":"13edf78d54cbc350152b059af675b9bb1777dd5199fc9e6f12d8afd47c7a2d15","schema_version":"1.0","event_id":"sha256:13edf78d54cbc350152b059af675b9bb1777dd5199fc9e6f12d8afd47c7a2d15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G6XGYHIPBALPZDKDLOLMVPJWWB/bundle.json","state_url":"https://pith.science/pith/G6XGYHIPBALPZDKDLOLMVPJWWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G6XGYHIPBALPZDKDLOLMVPJWWB/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":"2026-05-27T21:35:13Z","links":{"resolver":"https://pith.science/pith/G6XGYHIPBALPZDKDLOLMVPJWWB","bundle":"https://pith.science/pith/G6XGYHIPBALPZDKDLOLMVPJWWB/bundle.json","state":"https://pith.science/pith/G6XGYHIPBALPZDKDLOLMVPJWWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G6XGYHIPBALPZDKDLOLMVPJWWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:G6XGYHIPBALPZDKDLOLMVPJWWB","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":"ad078386de582433ec9e64d49606acec9d28fdeeb21f867e8c67a49078e6532a","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-25T08:07:01Z","title_canon_sha256":"1baef418feb30b6e231af1bc5924875e994b3fca332bd2abe2033afb8b9cb75a"},"schema_version":"1.0","source":{"id":"1509.07617","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07617","created_at":"2026-05-18T00:38:46Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07617v2","created_at":"2026-05-18T00:38:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07617","created_at":"2026-05-18T00:38:46Z"},{"alias_kind":"pith_short_12","alias_value":"G6XGYHIPBALP","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"G6XGYHIPBALPZDKD","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"G6XGYHIP","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:13edf78d54cbc350152b059af675b9bb1777dd5199fc9e6f12d8afd47c7a2d15","target":"graph","created_at":"2026-05-18T00:38:46Z","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":"Motivated by an increase of renewable energy sources we propose a distributed optimal Load Frequency Control scheme achieving frequency regulation and economic dispatch. Based on an energy function of the power network we derive an incremental passivity property for a well known nonlinear structure preserving network model, differentiating between generator and load buses. Exploiting this property we design distributed controllers that adjust the power generation. Notably, we explicitly include the turbine-governor dynamics where first-order and the widely used second-order dynamics are analyz","authors_text":"Claudio De Persis, Sebastian Trip","cross_cats":["cs.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-25T08:07:01Z","title":"Optimal frequency regulation in nonlinear power networks including turbine-governor dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07617","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":"sha256:2b64e610298bee32c59b7e69606bcf31ae8688d821d7e38bb581e2c3f8bad837","target":"record","created_at":"2026-05-18T00:38:46Z","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":"ad078386de582433ec9e64d49606acec9d28fdeeb21f867e8c67a49078e6532a","cross_cats_sorted":["cs.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-25T08:07:01Z","title_canon_sha256":"1baef418feb30b6e231af1bc5924875e994b3fca332bd2abe2033afb8b9cb75a"},"schema_version":"1.0","source":{"id":"1509.07617","kind":"arxiv","version":2}},"canonical_sha256":"37ae6c1d0f0816fc8d435b96cabd36b051dd238d67eeb033ad157bf0187cd87b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"37ae6c1d0f0816fc8d435b96cabd36b051dd238d67eeb033ad157bf0187cd87b","first_computed_at":"2026-05-18T00:38:46.742112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:46.742112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+gdICeDlS7emh9zLfLdPorDeZvlPQYKK6/8qQtOil7I30Lqt2nAhqlY2e9ETXth5fWNoECThnFAguie14gTCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:46.742791Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07617","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b64e610298bee32c59b7e69606bcf31ae8688d821d7e38bb581e2c3f8bad837","sha256:13edf78d54cbc350152b059af675b9bb1777dd5199fc9e6f12d8afd47c7a2d15"],"state_sha256":"43ab7af93c1edabd6770b3b7dcde15130bf9f57b000ab1b0886fda2ef05ffadb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w65FtFu8DuA5fcjmQyGJhIN2uw5ITGb/gDnZk34vPy5Ubsjgz9rRrQt2zJrXqxP1gUKwYj3GPTIEStH3wCOUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:35:13.213063Z","bundle_sha256":"7fb5fe1ae236206f1a3f37d21e71fa539e433014b26558e9d5b2abd7c71d3a7c"}}