{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:AIOEZNTEKSMVVZUCGAW2AOMBQB","short_pith_number":"pith:AIOEZNTE","schema_version":"1.0","canonical_sha256":"021c4cb66454995ae682302da03981805b374cf49e7d7ec07f9034c9147f0873","source":{"kind":"arxiv","id":"1308.1925","version":1},"attestation_state":"computed","paper":{"title":"Calculation of the Autocorrelation Function of the Stochastic Single Machine Infinite Bus System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.soc-ph","authors_text":"Eduardo Cotilla-Sanchez, Goodarz Ghanavati, Paul D. H. Hines, Taras Lakoba","submitted_at":"2013-08-08T18:36:53Z","abstract_excerpt":"Critical slowing down (CSD) is the phenomenon in which a system recovers more slowly from small perturbations. CSD, as evidenced by increasing signal variance and autocorrelation, has been observed in many dynamical systems approaching a critical transition, and thus can be a useful signal of proximity to transition. In this paper, we derive autocorrelation functions for the state variables of a stochastic single machine infinite bus system (SMIB). The results show that both autocorrelation and variance increase as this system approaches a saddle-node bifurcation. The autocorrelation functions"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.1925","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-08-08T18:36:53Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"80dc87fecea36b9be7d9aac231472272c7b611a4ba3d3f0b713cc8b8ca99b1e6","abstract_canon_sha256":"f4e491d23a0c055f7380f02005b3bc2f7637b369c91d0cce10211f78ec8eb1c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:27.398645Z","signature_b64":"lpnqanSWPzX4p20Ua94I/M5ZqoFfFe6R8ljlUPpvGsBEM9L/xpmjaRMYhWQrhyXOoUEqpKYdr8tI0ATN881bAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"021c4cb66454995ae682302da03981805b374cf49e7d7ec07f9034c9147f0873","last_reissued_at":"2026-05-18T03:16:27.398206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:27.398206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Calculation of the Autocorrelation Function of the Stochastic Single Machine Infinite Bus System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.soc-ph","authors_text":"Eduardo Cotilla-Sanchez, Goodarz Ghanavati, Paul D. H. Hines, Taras Lakoba","submitted_at":"2013-08-08T18:36:53Z","abstract_excerpt":"Critical slowing down (CSD) is the phenomenon in which a system recovers more slowly from small perturbations. CSD, as evidenced by increasing signal variance and autocorrelation, has been observed in many dynamical systems approaching a critical transition, and thus can be a useful signal of proximity to transition. In this paper, we derive autocorrelation functions for the state variables of a stochastic single machine infinite bus system (SMIB). The results show that both autocorrelation and variance increase as this system approaches a saddle-node bifurcation. The autocorrelation functions"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.1925","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.1925","created_at":"2026-05-18T03:16:27.398271+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.1925v1","created_at":"2026-05-18T03:16:27.398271+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.1925","created_at":"2026-05-18T03:16:27.398271+00:00"},{"alias_kind":"pith_short_12","alias_value":"AIOEZNTEKSMV","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"AIOEZNTEKSMVVZUC","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"AIOEZNTE","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB","json":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB.json","graph_json":"https://pith.science/api/pith-number/AIOEZNTEKSMVVZUCGAW2AOMBQB/graph.json","events_json":"https://pith.science/api/pith-number/AIOEZNTEKSMVVZUCGAW2AOMBQB/events.json","paper":"https://pith.science/paper/AIOEZNTE"},"agent_actions":{"view_html":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB","download_json":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB.json","view_paper":"https://pith.science/paper/AIOEZNTE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.1925&json=true","fetch_graph":"https://pith.science/api/pith-number/AIOEZNTEKSMVVZUCGAW2AOMBQB/graph.json","fetch_events":"https://pith.science/api/pith-number/AIOEZNTEKSMVVZUCGAW2AOMBQB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB/action/storage_attestation","attest_author":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB/action/author_attestation","sign_citation":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB/action/citation_signature","submit_replication":"https://pith.science/pith/AIOEZNTEKSMVVZUCGAW2AOMBQB/action/replication_record"}},"created_at":"2026-05-18T03:16:27.398271+00:00","updated_at":"2026-05-18T03:16:27.398271+00:00"}