{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ORCFOKDTZERJLF3TI6DK5GHZ6V","short_pith_number":"pith:ORCFOKDT","schema_version":"1.0","canonical_sha256":"7444572873c9229597734786ae98f9f545fb636a45ed990d2904ac9462ae638d","source":{"kind":"arxiv","id":"1712.08092","version":3},"attestation_state":"computed","paper":{"title":"General criteria for the study of quasi-stationarity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Denis Villemonais, Nicolas Champagnat","submitted_at":"2017-12-21T17:16:01Z","abstract_excerpt":"For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in total variation norm to a quasi-stationary distribution. We also characterize a subset of its domain of attraction by an integrability condition, prove the existence of a right eigenvector for the semigroup of the process and the existence and exponential ergodicity of the Q-process. These results are applied to one-dimensional and multi-dimensional diffusion processes, to pure jump continuous time processes, to reducible processes with several communication c"},"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":"1712.08092","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2017-12-21T17:16:01Z","cross_cats_sorted":[],"title_canon_sha256":"63cb50045b6b8c68aa1538c359c1b0c63913da71f869d74b66ae1442b0a6040c","abstract_canon_sha256":"5a818ae8870a843966a2d7879ceda3cb8611278650fb0ac174623f732b3075f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:09:03.576021Z","signature_b64":"U5Bonv1wVlwnm4LwbbcsSRZLl63m+RX92J+3+oBQ/j4iAV79d7fBpBhX/cbgo19s+W7mJoM3CYTOShLJ2n4rAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7444572873c9229597734786ae98f9f545fb636a45ed990d2904ac9462ae638d","last_reissued_at":"2026-07-05T05:09:03.575526Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:09:03.575526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General criteria for the study of quasi-stationarity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Denis Villemonais, Nicolas Champagnat","submitted_at":"2017-12-21T17:16:01Z","abstract_excerpt":"For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in total variation norm to a quasi-stationary distribution. We also characterize a subset of its domain of attraction by an integrability condition, prove the existence of a right eigenvector for the semigroup of the process and the existence and exponential ergodicity of the Q-process. These results are applied to one-dimensional and multi-dimensional diffusion processes, to pure jump continuous time processes, to reducible processes with several communication c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08092","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1712.08092/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1712.08092","created_at":"2026-07-05T05:09:03.575590+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.08092v3","created_at":"2026-07-05T05:09:03.575590+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08092","created_at":"2026-07-05T05:09:03.575590+00:00"},{"alias_kind":"pith_short_12","alias_value":"ORCFOKDTZERJ","created_at":"2026-07-05T05:09:03.575590+00:00"},{"alias_kind":"pith_short_16","alias_value":"ORCFOKDTZERJLF3T","created_at":"2026-07-05T05:09:03.575590+00:00"},{"alias_kind":"pith_short_8","alias_value":"ORCFOKDT","created_at":"2026-07-05T05:09:03.575590+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.04175","citing_title":"The quasi-stationary distribution of the subcritical contact process","ref_index":6,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V","json":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V.json","graph_json":"https://pith.science/api/pith-number/ORCFOKDTZERJLF3TI6DK5GHZ6V/graph.json","events_json":"https://pith.science/api/pith-number/ORCFOKDTZERJLF3TI6DK5GHZ6V/events.json","paper":"https://pith.science/paper/ORCFOKDT"},"agent_actions":{"view_html":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V","download_json":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V.json","view_paper":"https://pith.science/paper/ORCFOKDT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.08092&json=true","fetch_graph":"https://pith.science/api/pith-number/ORCFOKDTZERJLF3TI6DK5GHZ6V/graph.json","fetch_events":"https://pith.science/api/pith-number/ORCFOKDTZERJLF3TI6DK5GHZ6V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V/action/storage_attestation","attest_author":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V/action/author_attestation","sign_citation":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V/action/citation_signature","submit_replication":"https://pith.science/pith/ORCFOKDTZERJLF3TI6DK5GHZ6V/action/replication_record"}},"created_at":"2026-07-05T05:09:03.575590+00:00","updated_at":"2026-07-05T05:09:03.575590+00:00"}