{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3LBROL7TRV24H2B4XEG4M3URMW","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":"ca8f240c0d360275d64fbe61e31873dc7c3756073c8fd336a87dfbc319fd68b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-12-11T15:05:49Z","title_canon_sha256":"32dd6f9724a877108af2084127d48c08d8c434b0d609772cc4c44e492d9d4aa3"},"schema_version":"1.0","source":{"id":"1712.03808","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03808","created_at":"2026-05-18T00:24:28Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03808v1","created_at":"2026-05-18T00:24:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03808","created_at":"2026-05-18T00:24:28Z"},{"alias_kind":"pith_short_12","alias_value":"3LBROL7TRV24","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3LBROL7TRV24H2B4","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3LBROL7T","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:fd37885b3af1a0a11e402c16a516242cbd4212a2f91d55521936d052459c03c4","target":"graph","created_at":"2026-05-18T00:24:28Z","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":"Markov chain Monte Carlo(MCMC) is a popular approach to sample from high dimensional distributions, and the asymptotic variance is a commonly used criterion to evaluate the performance. While most popular MCMC algorithms are reversible, there is a growing literature on the development and analyses of nonreversible MCMC. Chen and Hwang(2013) showed that a reversible MCMC can be improved by adding an antisymmetric perturbation. They also raised a conjecture that it can not be improved if there is no cycle in the corresponding graph. In this paper, we present a rigorous proof of this conjecture. ","authors_text":"Chi-Hao Wu, Ting-Li Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-12-11T15:05:49Z","title":"On the asymptotic variance of reversible Markov chain without cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03808","kind":"arxiv","version":1},"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":"sha256:8254118928157f239e0d88c08961b1c94e731424361346b14300d151c4ca9eec","target":"record","created_at":"2026-05-18T00:24:28Z","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":"ca8f240c0d360275d64fbe61e31873dc7c3756073c8fd336a87dfbc319fd68b4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-12-11T15:05:49Z","title_canon_sha256":"32dd6f9724a877108af2084127d48c08d8c434b0d609772cc4c44e492d9d4aa3"},"schema_version":"1.0","source":{"id":"1712.03808","kind":"arxiv","version":1}},"canonical_sha256":"dac3172ff38d75c3e83cb90dc66e9165ad7c833701c269d99e0a0b068f159b79","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dac3172ff38d75c3e83cb90dc66e9165ad7c833701c269d99e0a0b068f159b79","first_computed_at":"2026-05-18T00:24:28.617479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:28.617479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2YjVwm3RVqS4ybH+jg7zbxJKyK1rsYF2ibuuV0QstDGDP9iDcetfn/xIyeTQ9uHECP2q+HPN5BxCaB23j4p9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:28.618125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8254118928157f239e0d88c08961b1c94e731424361346b14300d151c4ca9eec","sha256:fd37885b3af1a0a11e402c16a516242cbd4212a2f91d55521936d052459c03c4"],"state_sha256":"6177036a19138dbbe995fae3b24e8d62a34c9c71b07a850bb4557041d5704f5b"}