{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:P5D7HKC47KOH3JVEKD3YJPE7JL","short_pith_number":"pith:P5D7HKC4","canonical_record":{"source":{"id":"1401.3559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-15T12:18:35Z","cross_cats_sorted":[],"title_canon_sha256":"ae909423fca141bc5d986b874766946b0696891b32dc0ea631c1c3ebe01f1f9b","abstract_canon_sha256":"ef76fba023708d869a5b63e2719e3e0e9e224feff7d16e65e609c55bd747922f"},"schema_version":"1.0"},"canonical_sha256":"7f47f3a85cfa9c7da6a450f784bc9f4aedad48e905414619d8c4d1030de18ebb","source":{"kind":"arxiv","id":"1401.3559","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3559","created_at":"2026-05-18T03:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3559v1","created_at":"2026-05-18T03:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3559","created_at":"2026-05-18T03:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"P5D7HKC47KOH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5D7HKC47KOH3JVE","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5D7HKC4","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:P5D7HKC47KOH3JVEKD3YJPE7JL","target":"record","payload":{"canonical_record":{"source":{"id":"1401.3559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-15T12:18:35Z","cross_cats_sorted":[],"title_canon_sha256":"ae909423fca141bc5d986b874766946b0696891b32dc0ea631c1c3ebe01f1f9b","abstract_canon_sha256":"ef76fba023708d869a5b63e2719e3e0e9e224feff7d16e65e609c55bd747922f"},"schema_version":"1.0"},"canonical_sha256":"7f47f3a85cfa9c7da6a450f784bc9f4aedad48e905414619d8c4d1030de18ebb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:08.416030Z","signature_b64":"bKuzS67qezl1syWT8wILeAlwsoXqWVBTXRxdvfTtLCZHTBXrS9nYZsIGgYI2wYtAK6dl6w2CufkrZMDu8ekSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f47f3a85cfa9c7da6a450f784bc9f4aedad48e905414619d8c4d1030de18ebb","last_reissued_at":"2026-05-18T03:02:08.415069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:08.415069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.3559","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XkkyE1EJOW/NMkcl+80mR9R0CwlZbfuJDqBFPNn0iVLooZGY1Zwlnoh4IlwIQ/Cdocor6e9JS9/QFDfICsEHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:37:52.109455Z"},"content_sha256":"bfac1b92794443780ca9300beb9b33daf8c7f414715682dac95a068efca999d1","schema_version":"1.0","event_id":"sha256:bfac1b92794443780ca9300beb9b33daf8c7f414715682dac95a068efca999d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:P5D7HKC47KOH3JVEKD3YJPE7JL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimising MCMC variance via diffusion limits, with an application to simulated tempering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Gareth O. Roberts, Jeffrey S. Rosenthal","submitted_at":"2014-01-15T12:18:35Z","abstract_excerpt":"We derive new results comparing the asymptotic variance of diffusions by writing them as appropriate limits of discrete-time birth-death chains which themselves satisfy Peskun orderings. We then apply our results to simulated tempering algorithms to establish which choice of inverse temperatures minimises the asymptotic variance of all functionals and thus leads to the most efficient MCMC algorithm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3559","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gM+9XF27vWxsrHM3bSTDUfOGfmhprS4ASB9ZxCiCM5YdVoL65cuKrL605GLSSCe+dbeO8wb9oOcliiE0fZvIDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:37:52.109807Z"},"content_sha256":"415269fa23d2289184b114b384c2411fbd70ba5b8c360f86a23397f2b2786c62","schema_version":"1.0","event_id":"sha256:415269fa23d2289184b114b384c2411fbd70ba5b8c360f86a23397f2b2786c62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P5D7HKC47KOH3JVEKD3YJPE7JL/bundle.json","state_url":"https://pith.science/pith/P5D7HKC47KOH3JVEKD3YJPE7JL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P5D7HKC47KOH3JVEKD3YJPE7JL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-23T18:37:52Z","links":{"resolver":"https://pith.science/pith/P5D7HKC47KOH3JVEKD3YJPE7JL","bundle":"https://pith.science/pith/P5D7HKC47KOH3JVEKD3YJPE7JL/bundle.json","state":"https://pith.science/pith/P5D7HKC47KOH3JVEKD3YJPE7JL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P5D7HKC47KOH3JVEKD3YJPE7JL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:P5D7HKC47KOH3JVEKD3YJPE7JL","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":"ef76fba023708d869a5b63e2719e3e0e9e224feff7d16e65e609c55bd747922f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-15T12:18:35Z","title_canon_sha256":"ae909423fca141bc5d986b874766946b0696891b32dc0ea631c1c3ebe01f1f9b"},"schema_version":"1.0","source":{"id":"1401.3559","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.3559","created_at":"2026-05-18T03:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"1401.3559v1","created_at":"2026-05-18T03:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3559","created_at":"2026-05-18T03:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"P5D7HKC47KOH","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"P5D7HKC47KOH3JVE","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"P5D7HKC4","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:415269fa23d2289184b114b384c2411fbd70ba5b8c360f86a23397f2b2786c62","target":"graph","created_at":"2026-05-18T03:02:08Z","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 derive new results comparing the asymptotic variance of diffusions by writing them as appropriate limits of discrete-time birth-death chains which themselves satisfy Peskun orderings. We then apply our results to simulated tempering algorithms to establish which choice of inverse temperatures minimises the asymptotic variance of all functionals and thus leads to the most efficient MCMC algorithm.","authors_text":"Gareth O. Roberts, Jeffrey S. Rosenthal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-15T12:18:35Z","title":"Minimising MCMC variance via diffusion limits, with an application to simulated tempering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3559","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:bfac1b92794443780ca9300beb9b33daf8c7f414715682dac95a068efca999d1","target":"record","created_at":"2026-05-18T03:02:08Z","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":"ef76fba023708d869a5b63e2719e3e0e9e224feff7d16e65e609c55bd747922f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-15T12:18:35Z","title_canon_sha256":"ae909423fca141bc5d986b874766946b0696891b32dc0ea631c1c3ebe01f1f9b"},"schema_version":"1.0","source":{"id":"1401.3559","kind":"arxiv","version":1}},"canonical_sha256":"7f47f3a85cfa9c7da6a450f784bc9f4aedad48e905414619d8c4d1030de18ebb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f47f3a85cfa9c7da6a450f784bc9f4aedad48e905414619d8c4d1030de18ebb","first_computed_at":"2026-05-18T03:02:08.415069Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:08.415069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bKuzS67qezl1syWT8wILeAlwsoXqWVBTXRxdvfTtLCZHTBXrS9nYZsIGgYI2wYtAK6dl6w2CufkrZMDu8ekSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:08.416030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.3559","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfac1b92794443780ca9300beb9b33daf8c7f414715682dac95a068efca999d1","sha256:415269fa23d2289184b114b384c2411fbd70ba5b8c360f86a23397f2b2786c62"],"state_sha256":"3f0ae4b2c5915a56eb35ea0c96fc030733a724db8460797a3eb2bd1b4e26b37d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hc5b9HnBVPBjzrOna0Jb/bmbK8BTKo+/0YIAG9UPqP9uaxb7MuFdbtmp5l1X5b24OPTmpfTFZxoK+SHI4GbuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:37:52.111934Z","bundle_sha256":"a2721ac7a44105fef672fec6dcd0d3599a58a4b484db710abcbab14cc8fd226a"}}