{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IVS6NGK6MLQPMCM5YV6WCKS7VB","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":"dcbf6999985265a5ced4729fc4eceafb2d461b42d4d0c1445cec3c97b7917f0f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-09T10:25:05Z","title_canon_sha256":"c2656c07b8e6c3c42cdcf1fd40a619a464d700683abf6a7b1c9606edb3c08a54"},"schema_version":"1.0","source":{"id":"1803.03456","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.03456","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"arxiv_version","alias_value":"1803.03456v4","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.03456","created_at":"2026-05-18T00:11:57Z"},{"alias_kind":"pith_short_12","alias_value":"IVS6NGK6MLQP","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IVS6NGK6MLQPMCM5","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IVS6NGK6","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:1383e44f719a9b473c84546461eefb0f5c3da3313ad153fab1f2d879c576f046","target":"graph","created_at":"2026-05-18T00:11:57Z","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":"We consider random switching between finitely many vector fields leaving positively invariant a compact set. Recently, Li, Liu and Cui showed that if one the vector fields has a globally asymptotically stable (G.A.S.) equilibrium from which one can reach a point satisfying a weak H\\\"ormander-bracket condition, then the process converges in total variation to a unique invariant probability measure. In this note, adapting the proof of Li, Liu and Cui and using results of Bena\\\"im, Le Borgne, Malrieu and Zitt, the assumption of a G.A.S. equilibrium is weakened to the existence of an accessible po","authors_text":"Edouard Strickler, Michel Bena\\\"im, Tobias Hurth","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-09T10:25:05Z","title":"A user-friendly condition for exponential ergodicity in randomly switched environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.03456","kind":"arxiv","version":4},"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:fe1ca29233315e9b7b3a30356043fb389b8dcc2637f3684a5148ef75abf3854d","target":"record","created_at":"2026-05-18T00:11:57Z","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":"dcbf6999985265a5ced4729fc4eceafb2d461b42d4d0c1445cec3c97b7917f0f","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-03-09T10:25:05Z","title_canon_sha256":"c2656c07b8e6c3c42cdcf1fd40a619a464d700683abf6a7b1c9606edb3c08a54"},"schema_version":"1.0","source":{"id":"1803.03456","kind":"arxiv","version":4}},"canonical_sha256":"4565e6995e62e0f6099dc57d612a5fa85f3cfb522ec3290b6b489b87edb02586","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4565e6995e62e0f6099dc57d612a5fa85f3cfb522ec3290b6b489b87edb02586","first_computed_at":"2026-05-18T00:11:57.203579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:57.203579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"016tnJabh94kyL3aTy1a3gD7l4Z3uP5RgaEL2xSKz/aHj95WoOyAn/mWXcPYVuUe0WISJlSoCLM93kJ8R1wvBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:57.204140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.03456","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe1ca29233315e9b7b3a30356043fb389b8dcc2637f3684a5148ef75abf3854d","sha256:1383e44f719a9b473c84546461eefb0f5c3da3313ad153fab1f2d879c576f046"],"state_sha256":"e3ec8671eb4e49f9bec234d21b3dffd9b9a9c41bce9d39c5c72770261cce1099"}