{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NER6SWEO5OC2ZO7WBXMDIKFXNE","short_pith_number":"pith:NER6SWEO","canonical_record":{"source":{"id":"1409.7986","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-29T03:08:09Z","cross_cats_sorted":[],"title_canon_sha256":"9ba09d96460473b80d0ccf882106e8157b746e8d793210c8eb8d52640358c8a2","abstract_canon_sha256":"2d41f01dba7445a88044d18de7a048dc54c620e1cc22f4b6024412d0fe79eaa3"},"schema_version":"1.0"},"canonical_sha256":"6923e9588eeb85acbbf60dd83428b7692220bb2ac4159c5250725a9d7050fc0c","source":{"kind":"arxiv","id":"1409.7986","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7986","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7986v2","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7986","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"NER6SWEO5OC2","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NER6SWEO5OC2ZO7W","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NER6SWEO","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NER6SWEO5OC2ZO7WBXMDIKFXNE","target":"record","payload":{"canonical_record":{"source":{"id":"1409.7986","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-29T03:08:09Z","cross_cats_sorted":[],"title_canon_sha256":"9ba09d96460473b80d0ccf882106e8157b746e8d793210c8eb8d52640358c8a2","abstract_canon_sha256":"2d41f01dba7445a88044d18de7a048dc54c620e1cc22f4b6024412d0fe79eaa3"},"schema_version":"1.0"},"canonical_sha256":"6923e9588eeb85acbbf60dd83428b7692220bb2ac4159c5250725a9d7050fc0c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:22.595099Z","signature_b64":"3iItWIBdCDk0whJdZwMKdEWZ2sMAGdy/XlS+yEbjRtX1tmkmEopu4mdCSvtAfpph9Wz570wt2kHRL6UkMqcLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6923e9588eeb85acbbf60dd83428b7692220bb2ac4159c5250725a9d7050fc0c","last_reissued_at":"2026-05-18T01:35:22.593768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:22.593768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.7986","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"znQ5ZuvEt5b/wOaJIOeXe+iPUh9OJRQF2ru84vamkzpYoyEx4cSdCJcRDl1dJX1FHyMRafRKkb68CWmv4AAQCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:00:23.819992Z"},"content_sha256":"9be087560e5beb13e1259a0af688d508bacd8dd85fd0df1394eae7061c7199d8","schema_version":"1.0","event_id":"sha256:9be087560e5beb13e1259a0af688d508bacd8dd85fd0df1394eae7061c7199d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NER6SWEO5OC2ZO7WBXMDIKFXNE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hypothesis testing for Markov chain Monte Carlo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Benjamin M. Gyori, Daniel Paulin","submitted_at":"2014-09-29T03:08:09Z","abstract_excerpt":"Testing between hypotheses, when independent sampling is possible, is a well developed subject. In this paper, we propose hypothesis tests that are applicable when the samples are obtained using Markov chain Monte Carlo. These tests are useful when one is interested in deciding whether the expected value of a certain quantity is above or below a given threshold. We show non-asymptotic error bounds and bounds on the expected number of samples for three types of tests, a fixed sample size test, a sequential test with indifference region, and a sequential test without indifference region. Our tes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7986","kind":"arxiv","version":2},"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":"2026-05-18T01:35:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSSHTmnOiFzy96ZLnN9H0BIO5DHykmudTJ1Y0q1OVTSSz7X0FO4oqAAVpiF3shg12L7pn/AuZ2jO+alADredAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:00:23.820345Z"},"content_sha256":"d251a5e35776180bcca30f54daf8b195431f1fadb02d63195678a230e665751c","schema_version":"1.0","event_id":"sha256:d251a5e35776180bcca30f54daf8b195431f1fadb02d63195678a230e665751c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE/bundle.json","state_url":"https://pith.science/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE/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":"2026-06-25T18:00:23Z","links":{"resolver":"https://pith.science/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE","bundle":"https://pith.science/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE/bundle.json","state":"https://pith.science/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NER6SWEO5OC2ZO7WBXMDIKFXNE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NER6SWEO5OC2ZO7WBXMDIKFXNE","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":"2d41f01dba7445a88044d18de7a048dc54c620e1cc22f4b6024412d0fe79eaa3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-29T03:08:09Z","title_canon_sha256":"9ba09d96460473b80d0ccf882106e8157b746e8d793210c8eb8d52640358c8a2"},"schema_version":"1.0","source":{"id":"1409.7986","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.7986","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"arxiv_version","alias_value":"1409.7986v2","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.7986","created_at":"2026-05-18T01:35:22Z"},{"alias_kind":"pith_short_12","alias_value":"NER6SWEO5OC2","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NER6SWEO5OC2ZO7W","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NER6SWEO","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:d251a5e35776180bcca30f54daf8b195431f1fadb02d63195678a230e665751c","target":"graph","created_at":"2026-05-18T01:35:22Z","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":"Testing between hypotheses, when independent sampling is possible, is a well developed subject. In this paper, we propose hypothesis tests that are applicable when the samples are obtained using Markov chain Monte Carlo. These tests are useful when one is interested in deciding whether the expected value of a certain quantity is above or below a given threshold. We show non-asymptotic error bounds and bounds on the expected number of samples for three types of tests, a fixed sample size test, a sequential test with indifference region, and a sequential test without indifference region. Our tes","authors_text":"Benjamin M. Gyori, Daniel Paulin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-29T03:08:09Z","title":"Hypothesis testing for Markov chain Monte Carlo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7986","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":"sha256:9be087560e5beb13e1259a0af688d508bacd8dd85fd0df1394eae7061c7199d8","target":"record","created_at":"2026-05-18T01:35:22Z","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":"2d41f01dba7445a88044d18de7a048dc54c620e1cc22f4b6024412d0fe79eaa3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-09-29T03:08:09Z","title_canon_sha256":"9ba09d96460473b80d0ccf882106e8157b746e8d793210c8eb8d52640358c8a2"},"schema_version":"1.0","source":{"id":"1409.7986","kind":"arxiv","version":2}},"canonical_sha256":"6923e9588eeb85acbbf60dd83428b7692220bb2ac4159c5250725a9d7050fc0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6923e9588eeb85acbbf60dd83428b7692220bb2ac4159c5250725a9d7050fc0c","first_computed_at":"2026-05-18T01:35:22.593768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:22.593768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3iItWIBdCDk0whJdZwMKdEWZ2sMAGdy/XlS+yEbjRtX1tmkmEopu4mdCSvtAfpph9Wz570wt2kHRL6UkMqcLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:22.595099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.7986","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9be087560e5beb13e1259a0af688d508bacd8dd85fd0df1394eae7061c7199d8","sha256:d251a5e35776180bcca30f54daf8b195431f1fadb02d63195678a230e665751c"],"state_sha256":"c38182c5db493db72eeff10031a205c669e36648887c0ece176c2b92b8ca5c5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DSQ1gcltlaJp1EbtDqTmTy1WXC5sCmOiD4C7b3m9MusR7ieMQHnwwKQp7e18bkIFVHm1StPJrnXeAwc9/mWRAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T18:00:23.822286Z","bundle_sha256":"b227a22d2235ee1e81413fbbb1adeea049d5488f6794dc277f6c973574b17682"}}