{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KVUSWDJWH2IJGVNDZ2II3T6S3F","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":"2c22eea92070b8a2f8d81d47e670bb53946a5c575c7162d499c827651d8ffbab","cross_cats_sorted":["q-bio.PE","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-21T10:25:41Z","title_canon_sha256":"54902f4e82531ff7b7e3b8846afe5d82c955cd5f2c9ec38ba64476f2f01bd4ff"},"schema_version":"1.0","source":{"id":"1212.5385","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5385","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5385v2","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5385","created_at":"2026-05-18T03:08:47Z"},{"alias_kind":"pith_short_12","alias_value":"KVUSWDJWH2IJ","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KVUSWDJWH2IJGVND","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KVUSWDJW","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:8d53fb3c9e7505adb2f17f0b875deb161503b357d2c66d99406b4b5d9418677b","target":"graph","created_at":"2026-05-18T03:08:47Z","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":"Diverse complex dynamical systems are known to exhibit abrupt regime shifts at bifurcation points of the saddle-node type. The dynamics of most of these systems, however, have a stochastic component resulting in noise driven regime shifts even if the system is away from the bifurcation points. In this paper, we propose a new quantitative measure, namely, the propensity transition point as an indicator of stochastic regime shifts. The concepts and the methodology are illustrated for the one-variable May model, a well-known model in ecology and the genetic toggle, a two-variable model of a simpl","authors_text":"Amit Kumar Pal, Indrani Bose, Sayantari Ghosh","cross_cats":["q-bio.PE","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-21T10:25:41Z","title":"Noise-induced Regime Shifts: A Quantitative Characterization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5385","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:dcf87ac9399fcbe95aabafc7ae3fecfe3f2f6462a25a839cebe87be59c22bb9f","target":"record","created_at":"2026-05-18T03:08:47Z","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":"2c22eea92070b8a2f8d81d47e670bb53946a5c575c7162d499c827651d8ffbab","cross_cats_sorted":["q-bio.PE","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-12-21T10:25:41Z","title_canon_sha256":"54902f4e82531ff7b7e3b8846afe5d82c955cd5f2c9ec38ba64476f2f01bd4ff"},"schema_version":"1.0","source":{"id":"1212.5385","kind":"arxiv","version":2}},"canonical_sha256":"55692b0d363e909355a3ce908dcfd2d968a4ac6d16b793e27d2832f6427db319","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55692b0d363e909355a3ce908dcfd2d968a4ac6d16b793e27d2832f6427db319","first_computed_at":"2026-05-18T03:08:47.403906Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:47.403906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aXigpVNOEcg+l5LUwDwDqGNMW4PuMzYADJ+T/WoFREhH3rxG9D16gNAlAMHCXvb0E5bp0I0yZGzEP9wmdXNkDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:47.404609Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5385","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcf87ac9399fcbe95aabafc7ae3fecfe3f2f6462a25a839cebe87be59c22bb9f","sha256:8d53fb3c9e7505adb2f17f0b875deb161503b357d2c66d99406b4b5d9418677b"],"state_sha256":"a2e11adfef12c2dddc8392e698b51d178dfeb6473491e79b338fc032f7ad62c8"}