{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EAMXLTZYU3VCFIPF6R7QZKAMXQ","short_pith_number":"pith:EAMXLTZY","canonical_record":{"source":{"id":"1212.1224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T02:46:08Z","cross_cats_sorted":["cs.SY","stat.AP"],"title_canon_sha256":"be4f6d01a75c0b928a77139f9758f6de0147e9a3c30d7829e5fc74a93f00b07b","abstract_canon_sha256":"199f39e117678d76c0049abe7fc204c47dc3785ef6561154d2dfbe0dffba4d98"},"schema_version":"1.0"},"canonical_sha256":"201975cf38a6ea22a1e5f47f0ca80cbc29191cf64e9aaf03d5b47d35267955b1","source":{"kind":"arxiv","id":"1212.1224","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1224","created_at":"2026-05-18T03:39:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1224v1","created_at":"2026-05-18T03:39:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1224","created_at":"2026-05-18T03:39:04Z"},{"alias_kind":"pith_short_12","alias_value":"EAMXLTZYU3VC","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EAMXLTZYU3VCFIPF","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EAMXLTZY","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EAMXLTZYU3VCFIPF6R7QZKAMXQ","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T02:46:08Z","cross_cats_sorted":["cs.SY","stat.AP"],"title_canon_sha256":"be4f6d01a75c0b928a77139f9758f6de0147e9a3c30d7829e5fc74a93f00b07b","abstract_canon_sha256":"199f39e117678d76c0049abe7fc204c47dc3785ef6561154d2dfbe0dffba4d98"},"schema_version":"1.0"},"canonical_sha256":"201975cf38a6ea22a1e5f47f0ca80cbc29191cf64e9aaf03d5b47d35267955b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:04.474183Z","signature_b64":"ky1hu4gu9BvWs9g0WtbPlFrLsMbCFzryLFUeLP+OgtGhKR301bbW5tqaQcgXo46mlhicbfhFTxIeLdpWoHHICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"201975cf38a6ea22a1e5f47f0ca80cbc29191cf64e9aaf03d5b47d35267955b1","last_reissued_at":"2026-05-18T03:39:04.473540Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:04.473540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1224","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:39:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bjd5euv+yhD8M3xqzI8JBlRJWKTeV6DdzDPBAX2j7aZaPvhcUQbFdQi5YCp4eJ7DcW9jMwDj+uRRrnqiFQu9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:38:41.972068Z"},"content_sha256":"c104a9ed19cdeefafee9945272720501acc958722cf1da889aa3471217807891","schema_version":"1.0","event_id":"sha256:c104a9ed19cdeefafee9945272720501acc958722cf1da889aa3471217807891"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EAMXLTZYU3VCFIPF6R7QZKAMXQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random load fluctuations and collapse probability of a power system operating near codimension 1 saddle-node bifurcation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","stat.AP"],"primary_cat":"physics.soc-ph","authors_text":"Dmitry Podolsky, Konstantin Turitsyn","submitted_at":"2012-12-06T02:46:08Z","abstract_excerpt":"For a power system operating in the vicinity of the power transfer limit of its transmission system, effect of stochastic fluctuations of power loads can become critical as a sufficiently strong such fluctuation may activate voltage instability and lead to a large scale collapse of the system. Considering the effect of these stochastic fluctuations near a codimension 1 saddle-node bifurcation, we explicitly calculate the autocorrelation function of the state vector and show how its behavior explains the phenomenon of critical slowing-down often observed for power systems on the threshold of bl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1224","kind":"arxiv","version":1},"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":"2026-05-18T03:39:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hh1fCrQpPhSR+DZNnZdO0ZnMHtk+gYqt/ujS1SiYdnBN1iaSEKyD2+LiZgQ0kxAfGkmBTzaqxURDZ9o6jfCkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T01:38:41.972440Z"},"content_sha256":"3e1648b5caa41db5ab787b97d1d95d5c27d8f9750c2c7ee3dec0e5b996cdcf89","schema_version":"1.0","event_id":"sha256:3e1648b5caa41db5ab787b97d1d95d5c27d8f9750c2c7ee3dec0e5b996cdcf89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ/bundle.json","state_url":"https://pith.science/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ/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":"2026-06-04T01:38:41Z","links":{"resolver":"https://pith.science/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ","bundle":"https://pith.science/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ/bundle.json","state":"https://pith.science/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EAMXLTZYU3VCFIPF6R7QZKAMXQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EAMXLTZYU3VCFIPF6R7QZKAMXQ","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":"199f39e117678d76c0049abe7fc204c47dc3785ef6561154d2dfbe0dffba4d98","cross_cats_sorted":["cs.SY","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T02:46:08Z","title_canon_sha256":"be4f6d01a75c0b928a77139f9758f6de0147e9a3c30d7829e5fc74a93f00b07b"},"schema_version":"1.0","source":{"id":"1212.1224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1224","created_at":"2026-05-18T03:39:04Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1224v1","created_at":"2026-05-18T03:39:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1224","created_at":"2026-05-18T03:39:04Z"},{"alias_kind":"pith_short_12","alias_value":"EAMXLTZYU3VC","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EAMXLTZYU3VCFIPF","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EAMXLTZY","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:3e1648b5caa41db5ab787b97d1d95d5c27d8f9750c2c7ee3dec0e5b996cdcf89","target":"graph","created_at":"2026-05-18T03:39:04Z","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":"For a power system operating in the vicinity of the power transfer limit of its transmission system, effect of stochastic fluctuations of power loads can become critical as a sufficiently strong such fluctuation may activate voltage instability and lead to a large scale collapse of the system. Considering the effect of these stochastic fluctuations near a codimension 1 saddle-node bifurcation, we explicitly calculate the autocorrelation function of the state vector and show how its behavior explains the phenomenon of critical slowing-down often observed for power systems on the threshold of bl","authors_text":"Dmitry Podolsky, Konstantin Turitsyn","cross_cats":["cs.SY","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T02:46:08Z","title":"Random load fluctuations and collapse probability of a power system operating near codimension 1 saddle-node bifurcation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1224","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:c104a9ed19cdeefafee9945272720501acc958722cf1da889aa3471217807891","target":"record","created_at":"2026-05-18T03:39:04Z","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":"199f39e117678d76c0049abe7fc204c47dc3785ef6561154d2dfbe0dffba4d98","cross_cats_sorted":["cs.SY","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T02:46:08Z","title_canon_sha256":"be4f6d01a75c0b928a77139f9758f6de0147e9a3c30d7829e5fc74a93f00b07b"},"schema_version":"1.0","source":{"id":"1212.1224","kind":"arxiv","version":1}},"canonical_sha256":"201975cf38a6ea22a1e5f47f0ca80cbc29191cf64e9aaf03d5b47d35267955b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"201975cf38a6ea22a1e5f47f0ca80cbc29191cf64e9aaf03d5b47d35267955b1","first_computed_at":"2026-05-18T03:39:04.473540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:04.473540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ky1hu4gu9BvWs9g0WtbPlFrLsMbCFzryLFUeLP+OgtGhKR301bbW5tqaQcgXo46mlhicbfhFTxIeLdpWoHHICA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:04.474183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c104a9ed19cdeefafee9945272720501acc958722cf1da889aa3471217807891","sha256:3e1648b5caa41db5ab787b97d1d95d5c27d8f9750c2c7ee3dec0e5b996cdcf89"],"state_sha256":"04b21c1073ff94d034adc8869be874849d2f7b460d472a1f6f7563d561a90ee9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IQEzsXv2a7GtulevqE0cqYXPfLrFaUfkCDXLgOI86GNnj98oKzfo4iH3OPqxtCO5mzfz3eXAboGFrMvhF5iHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T01:38:41.974559Z","bundle_sha256":"2a86fbb08c77b772f76ae2f5badb40b97fe2b85db3c5917efe75a2cf8f6529c3"}}