{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7DPDSUA7RIYM6DRBWDYYWWBE5F","short_pith_number":"pith:7DPDSUA7","canonical_record":{"source":{"id":"1806.07047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-19T05:23:14Z","cross_cats_sorted":[],"title_canon_sha256":"06ddf8f2f6e0eda56889264563c295845a6b669f6bd7e5f02bd1a57fe829a7a5","abstract_canon_sha256":"bbc5b32abaeba5effb39f0efafde77e8059728b9043bfdb6f9edf5fcd484df5a"},"schema_version":"1.0"},"canonical_sha256":"f8de39501f8a30cf0e21b0f18b5824e9542218619cc3fad4d43bba0d048ad5b7","source":{"kind":"arxiv","id":"1806.07047","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07047","created_at":"2026-05-18T00:12:57Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07047v1","created_at":"2026-05-18T00:12:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07047","created_at":"2026-05-18T00:12:57Z"},{"alias_kind":"pith_short_12","alias_value":"7DPDSUA7RIYM","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7DPDSUA7RIYM6DRB","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7DPDSUA7","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7DPDSUA7RIYM6DRBWDYYWWBE5F","target":"record","payload":{"canonical_record":{"source":{"id":"1806.07047","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-19T05:23:14Z","cross_cats_sorted":[],"title_canon_sha256":"06ddf8f2f6e0eda56889264563c295845a6b669f6bd7e5f02bd1a57fe829a7a5","abstract_canon_sha256":"bbc5b32abaeba5effb39f0efafde77e8059728b9043bfdb6f9edf5fcd484df5a"},"schema_version":"1.0"},"canonical_sha256":"f8de39501f8a30cf0e21b0f18b5824e9542218619cc3fad4d43bba0d048ad5b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:57.601385Z","signature_b64":"P5bMQtT1iWxhuh2KopD2HPL9KsNTjCodRCXzgULF13njG/IETgaHvMzWoy0geS2wOdr9aKUyzBsR0l/JwAoPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8de39501f8a30cf0e21b0f18b5824e9542218619cc3fad4d43bba0d048ad5b7","last_reissued_at":"2026-05-18T00:12:57.600771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:57.600771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.07047","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":"2026-05-18T00:12:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3J15SPMQry1bB8J1BzhJOh2wFdSlgZbn52838BknVMPqX7HNzFDotSJwWW3p4Us+KHNSActRgLJizTwwXrVEAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:57:40.038795Z"},"content_sha256":"269f9bf7459c59872cbfcecdf5aa70aa110b345403b59ffb9b82f8c2935b025d","schema_version":"1.0","event_id":"sha256:269f9bf7459c59872cbfcecdf5aa70aa110b345403b59ffb9b82f8c2935b025d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7DPDSUA7RIYM6DRBWDYYWWBE5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast Mixing of Metropolis-Hastings with Unimodal Targets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Aaron Smith, James E. Johndrow","submitted_at":"2018-06-19T05:23:14Z","abstract_excerpt":"A well-known folklore result in the MCMC community is that the Metropolis-Hastings algorithm mixes quickly for any unimodal target, as long as the tails are not too heavy. Although we've heard this fact stated many times in conversation, we are not aware of any quantitative statement of this result in the literature, and we are not aware of any quick derivation from well-known results. The present paper patches this small gap in the literature, providing a generic bound based on the popular \"drift-and-minorization\" framework of Rosenthal (1995). Our main contribution is to study two sublevel s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07047","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":"2026-05-18T00:12:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXuh67aE+fDebtWytHvxycpVE7u9GqOkB/mk5/UtWhhiIQ7LpcSShIwlhstZl2qCAst1NPS1F7dJ2R3q9G/EDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:57:40.039164Z"},"content_sha256":"083072f386bd904b6a86197a2c6565c0f6d99bf94d3d35dbb9004cbbbd1bc07e","schema_version":"1.0","event_id":"sha256:083072f386bd904b6a86197a2c6565c0f6d99bf94d3d35dbb9004cbbbd1bc07e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F/bundle.json","state_url":"https://pith.science/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F/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":"2026-05-25T20:57:40Z","links":{"resolver":"https://pith.science/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F","bundle":"https://pith.science/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F/bundle.json","state":"https://pith.science/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7DPDSUA7RIYM6DRBWDYYWWBE5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7DPDSUA7RIYM6DRBWDYYWWBE5F","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":"bbc5b32abaeba5effb39f0efafde77e8059728b9043bfdb6f9edf5fcd484df5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-19T05:23:14Z","title_canon_sha256":"06ddf8f2f6e0eda56889264563c295845a6b669f6bd7e5f02bd1a57fe829a7a5"},"schema_version":"1.0","source":{"id":"1806.07047","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.07047","created_at":"2026-05-18T00:12:57Z"},{"alias_kind":"arxiv_version","alias_value":"1806.07047v1","created_at":"2026-05-18T00:12:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07047","created_at":"2026-05-18T00:12:57Z"},{"alias_kind":"pith_short_12","alias_value":"7DPDSUA7RIYM","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7DPDSUA7RIYM6DRB","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7DPDSUA7","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:083072f386bd904b6a86197a2c6565c0f6d99bf94d3d35dbb9004cbbbd1bc07e","target":"graph","created_at":"2026-05-18T00:12:57Z","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":"A well-known folklore result in the MCMC community is that the Metropolis-Hastings algorithm mixes quickly for any unimodal target, as long as the tails are not too heavy. Although we've heard this fact stated many times in conversation, we are not aware of any quantitative statement of this result in the literature, and we are not aware of any quick derivation from well-known results. The present paper patches this small gap in the literature, providing a generic bound based on the popular \"drift-and-minorization\" framework of Rosenthal (1995). Our main contribution is to study two sublevel s","authors_text":"Aaron Smith, James E. Johndrow","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-19T05:23:14Z","title":"Fast Mixing of Metropolis-Hastings with Unimodal Targets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07047","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":"sha256:269f9bf7459c59872cbfcecdf5aa70aa110b345403b59ffb9b82f8c2935b025d","target":"record","created_at":"2026-05-18T00:12:57Z","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":"bbc5b32abaeba5effb39f0efafde77e8059728b9043bfdb6f9edf5fcd484df5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-19T05:23:14Z","title_canon_sha256":"06ddf8f2f6e0eda56889264563c295845a6b669f6bd7e5f02bd1a57fe829a7a5"},"schema_version":"1.0","source":{"id":"1806.07047","kind":"arxiv","version":1}},"canonical_sha256":"f8de39501f8a30cf0e21b0f18b5824e9542218619cc3fad4d43bba0d048ad5b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8de39501f8a30cf0e21b0f18b5824e9542218619cc3fad4d43bba0d048ad5b7","first_computed_at":"2026-05-18T00:12:57.600771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:57.600771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P5bMQtT1iWxhuh2KopD2HPL9KsNTjCodRCXzgULF13njG/IETgaHvMzWoy0geS2wOdr9aKUyzBsR0l/JwAoPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:57.601385Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.07047","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:269f9bf7459c59872cbfcecdf5aa70aa110b345403b59ffb9b82f8c2935b025d","sha256:083072f386bd904b6a86197a2c6565c0f6d99bf94d3d35dbb9004cbbbd1bc07e"],"state_sha256":"abbe2670d19dee6143d394818aff7d40e50c7cac018b5e0ecb04521f8d83a644"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IiTA1GvHW+6kRF7KroJGY+cRE8dO85fjtQbj4jhwauYZ/v8gY4bLShWUlMWkqFOrOp4xT4FU04WLZPFrv0iDDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:57:40.042191Z","bundle_sha256":"b19252264512f13f3f6793eadc4531928928aef180cf8659ebcfa3f31c81a19a"}}