{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6HPU7SSUOOUY2JCV5JFSUMNRBD","short_pith_number":"pith:6HPU7SSU","schema_version":"1.0","canonical_sha256":"f1df4fca5473a98d2455ea4b2a31b108c1d1871621eee457f997fc7b472ab348","source":{"kind":"arxiv","id":"1908.06459","version":1},"attestation_state":"computed","paper":{"title":"Quantitative convergence rates for reversible Markov chains via strong random times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Daniel C. Jerison","submitted_at":"2019-08-18T15:13:22Z","abstract_excerpt":"Let $(X_t)$ be a discrete time Markov chain on a general state space. It is well-known that if $(X_t)$ is aperiodic and satisfies a drift and minorization condition, then it converges to its stationary distribution $\\pi$ at an exponential rate. We consider the problem of computing upper bounds for the distance from stationarity in terms of the drift and minorization data.\n  Baxendale showed that these bounds improve significantly if one assumes that $(X_t)$ is reversible with nonnegative eigenvalues (i.e. its transition kernel is a self-adjoint operator on $L^2(\\pi)$ with spectrum contained in"},"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":"1908.06459","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-08-18T15:13:22Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"b4188f31e2c28769d1b3c1d3c9bf5be09b25b899d47f504d40b5d4d80f275ed1","abstract_canon_sha256":"e6c1b36dc4b077d5717b28d91759b4e23b3f3c53ad4130681d64a3bf23acb18b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:58:15.953199Z","signature_b64":"I/NmWBySJXOgZiX2omD9U7y0/jMkhhyfXPAaZIg4SL4G/PxN9GV17KB/WnSQT0zDQo9eVAv3yJRlsodazZf7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1df4fca5473a98d2455ea4b2a31b108c1d1871621eee457f997fc7b472ab348","last_reissued_at":"2026-07-04T23:58:15.952832Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:58:15.952832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantitative convergence rates for reversible Markov chains via strong random times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"math.PR","authors_text":"Daniel C. Jerison","submitted_at":"2019-08-18T15:13:22Z","abstract_excerpt":"Let $(X_t)$ be a discrete time Markov chain on a general state space. It is well-known that if $(X_t)$ is aperiodic and satisfies a drift and minorization condition, then it converges to its stationary distribution $\\pi$ at an exponential rate. We consider the problem of computing upper bounds for the distance from stationarity in terms of the drift and minorization data.\n  Baxendale showed that these bounds improve significantly if one assumes that $(X_t)$ is reversible with nonnegative eigenvalues (i.e. its transition kernel is a self-adjoint operator on $L^2(\\pi)$ with spectrum contained in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.06459","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.06459/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":"1908.06459","created_at":"2026-07-04T23:58:15.952891+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.06459v1","created_at":"2026-07-04T23:58:15.952891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.06459","created_at":"2026-07-04T23:58:15.952891+00:00"},{"alias_kind":"pith_short_12","alias_value":"6HPU7SSUOOUY","created_at":"2026-07-04T23:58:15.952891+00:00"},{"alias_kind":"pith_short_16","alias_value":"6HPU7SSUOOUY2JCV","created_at":"2026-07-04T23:58:15.952891+00:00"},{"alias_kind":"pith_short_8","alias_value":"6HPU7SSU","created_at":"2026-07-04T23:58:15.952891+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/6HPU7SSUOOUY2JCV5JFSUMNRBD","json":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD.json","graph_json":"https://pith.science/api/pith-number/6HPU7SSUOOUY2JCV5JFSUMNRBD/graph.json","events_json":"https://pith.science/api/pith-number/6HPU7SSUOOUY2JCV5JFSUMNRBD/events.json","paper":"https://pith.science/paper/6HPU7SSU"},"agent_actions":{"view_html":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD","download_json":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD.json","view_paper":"https://pith.science/paper/6HPU7SSU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.06459&json=true","fetch_graph":"https://pith.science/api/pith-number/6HPU7SSUOOUY2JCV5JFSUMNRBD/graph.json","fetch_events":"https://pith.science/api/pith-number/6HPU7SSUOOUY2JCV5JFSUMNRBD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD/action/storage_attestation","attest_author":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD/action/author_attestation","sign_citation":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD/action/citation_signature","submit_replication":"https://pith.science/pith/6HPU7SSUOOUY2JCV5JFSUMNRBD/action/replication_record"}},"created_at":"2026-07-04T23:58:15.952891+00:00","updated_at":"2026-07-04T23:58:15.952891+00:00"}