{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CNK7FBCLUFOHHKGPSLGN35FYZB","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":"c16e0eb3c858a52288e22f968f95869a7aaff58e6811784ef4e5192bcf46800b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-29T17:41:15Z","title_canon_sha256":"8726bd6ad91e9effed1bf464332fcae1d50a3046e0919201e1d3d4e9736056ac"},"schema_version":"1.0","source":{"id":"2305.18268","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.18268","created_at":"2026-07-05T10:16:05Z"},{"alias_kind":"arxiv_version","alias_value":"2305.18268v2","created_at":"2026-07-05T10:16:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.18268","created_at":"2026-07-05T10:16:05Z"},{"alias_kind":"pith_short_12","alias_value":"CNK7FBCLUFOH","created_at":"2026-07-05T10:16:05Z"},{"alias_kind":"pith_short_16","alias_value":"CNK7FBCLUFOHHKGP","created_at":"2026-07-05T10:16:05Z"},{"alias_kind":"pith_short_8","alias_value":"CNK7FBCL","created_at":"2026-07-05T10:16:05Z"}],"graph_snapshots":[{"event_id":"sha256:4efb48ac810c0b4e3e2e6d56d7c0cdfcff10a32bdd474f3985010be59a4befd0","target":"graph","created_at":"2026-07-05T10:16:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2305.18268/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review criteria for comparing the efficiency of Markov chain Monte Carlo (MCMC) methods with respect to the asymptotic variance of estimates of expectations of functions of state, and show how such criteria can justify ways of combining improvements to MCMC methods. We say that a chain on a finite state space with transition matrix $P$ efficiency-dominates one with transition matrix $Q$ if for every function of state it has lower (or equal) asymptotic variance. We give elementary proofs of some previous results regarding efficiency dominance, leading to a self-contained demonstration that a","authors_text":"Jeffrey S. Rosenthal, Radford M. Neal","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-29T17:41:15Z","title":"Efficiency of reversible MCMC methods: elementary derivations and applications to composite methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.18268","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":"sha256:9ac18c9db57e836af0271b0d45691f9139d738a8c9701e06c1ae3b37dfb9e5f2","target":"record","created_at":"2026-07-05T10:16:05Z","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":"c16e0eb3c858a52288e22f968f95869a7aaff58e6811784ef4e5192bcf46800b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2023-05-29T17:41:15Z","title_canon_sha256":"8726bd6ad91e9effed1bf464332fcae1d50a3046e0919201e1d3d4e9736056ac"},"schema_version":"1.0","source":{"id":"2305.18268","kind":"arxiv","version":2}},"canonical_sha256":"1355f2844ba15c73a8cf92ccddf4b8c861e832c35ba2b65f8c0b69324020c993","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1355f2844ba15c73a8cf92ccddf4b8c861e832c35ba2b65f8c0b69324020c993","first_computed_at":"2026-07-05T10:16:05.911634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:16:05.911634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pmIiYkQH81AcmgNuWIcSlgPKldUKvNFZVOzRmNDJ5EM9TijQPle9Egb2qawOOVFcVB+YlnbvFlY1l3v0LKl8Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:16:05.912068Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.18268","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ac18c9db57e836af0271b0d45691f9139d738a8c9701e06c1ae3b37dfb9e5f2","sha256:4efb48ac810c0b4e3e2e6d56d7c0cdfcff10a32bdd474f3985010be59a4befd0"],"state_sha256":"0a9deaae0ae3c788116dd253936eafad91323988cc2178071c17edd1cce5aab7"}