{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:DVFPWOKP4TI3DCHMVUSVI77P3Z","short_pith_number":"pith:DVFPWOKP","canonical_record":{"source":{"id":"2411.17084","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-26T03:48:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6865a7c275931fc8b86939ee2ab150a150151d9dc3d31cd0a7deec2c79a846ef","abstract_canon_sha256":"8c27dd1d8cdb8957b0bb7945a36e07c3c3a6855d33c48bb0b07d8456396f0043"},"schema_version":"1.0"},"canonical_sha256":"1d4afb394fe4d1b188ecad25547fefde73418f19516807e937034672dd4deb53","source":{"kind":"arxiv","id":"2411.17084","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17084","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17084v3","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17084","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"pith_short_12","alias_value":"DVFPWOKP4TI3","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"pith_short_16","alias_value":"DVFPWOKP4TI3DCHM","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"pith_short_8","alias_value":"DVFPWOKP","created_at":"2026-06-23T01:11:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:DVFPWOKP4TI3DCHMVUSVI77P3Z","target":"record","payload":{"canonical_record":{"source":{"id":"2411.17084","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-26T03:48:22Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6865a7c275931fc8b86939ee2ab150a150151d9dc3d31cd0a7deec2c79a846ef","abstract_canon_sha256":"8c27dd1d8cdb8957b0bb7945a36e07c3c3a6855d33c48bb0b07d8456396f0043"},"schema_version":"1.0"},"canonical_sha256":"1d4afb394fe4d1b188ecad25547fefde73418f19516807e937034672dd4deb53","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:11:53.460142Z","signature_b64":"PaYgRH7DfowQvMB9OSrP8Wk5iiWSebkpzLct/NyWDlFoSOrgK1/3nMYwSkrD79qXQ5xz1XHrj4cVrs9WnHp3AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d4afb394fe4d1b188ecad25547fefde73418f19516807e937034672dd4deb53","last_reissued_at":"2026-06-23T01:11:53.459633Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:11:53.459633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.17084","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T01:11:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QV3UQ9oR4JTqSTCsfPQziw77AxUuSs92sktO3lv759qfMTzoIio43SZJ7ka0AKDF3Ko23BruLUQoBv+VAhXBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:30:03.012399Z"},"content_sha256":"25d3a029e3f397e500dba17b40a8af4715529f4a83bc21eec8e1c73799fc5743","schema_version":"1.0","event_id":"sha256:25d3a029e3f397e500dba17b40a8af4715529f4a83bc21eec8e1c73799fc5743"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:DVFPWOKP4TI3DCHMVUSVI77P3Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Upper and lower bounds on the subgeometric convergence of adaptive Markov chain Monte Carlo","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Austin Brown, Jeffrey S. Rosenthal","submitted_at":"2024-11-26T03:48:22Z","abstract_excerpt":"We investigate lower bounds on the subgeometric convergence of adaptive Markov chain Monte Carlo under any adaptation strategy. In particular, we prove general lower bounds in total variation and on the weak convergence rate under general adaptation plans. If the adaptation diminishes sufficiently fast, we also develop comparable convergence rate upper bounds that are capable of approximately matching the convergence rate in the subgeometric lower bound. These results provide insight into the optimal design of adaptation strategies and also limitations on the convergence behavior of adaptive M"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17084","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.17084/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-23T01:11:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OsjWDxv7RRz2mXsvt50cChMFsDD+HB4D0RxcRhqx7hMJtrARCDjVDh6AV6OVWSYmj18N8qN/b+p+RLmZHYGaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T18:30:03.012943Z"},"content_sha256":"563112a485a3ece343e65aac4a853620cbad52a4bec190ed7cfa19724266792c","schema_version":"1.0","event_id":"sha256:563112a485a3ece343e65aac4a853620cbad52a4bec190ed7cfa19724266792c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z/bundle.json","state_url":"https://pith.science/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z/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":"2026-06-25T18:30:03Z","links":{"resolver":"https://pith.science/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z","bundle":"https://pith.science/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z/bundle.json","state":"https://pith.science/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DVFPWOKP4TI3DCHMVUSVI77P3Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DVFPWOKP4TI3DCHMVUSVI77P3Z","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":"8c27dd1d8cdb8957b0bb7945a36e07c3c3a6855d33c48bb0b07d8456396f0043","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-26T03:48:22Z","title_canon_sha256":"6865a7c275931fc8b86939ee2ab150a150151d9dc3d31cd0a7deec2c79a846ef"},"schema_version":"1.0","source":{"id":"2411.17084","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17084","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17084v3","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17084","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"pith_short_12","alias_value":"DVFPWOKP4TI3","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"pith_short_16","alias_value":"DVFPWOKP4TI3DCHM","created_at":"2026-06-23T01:11:53Z"},{"alias_kind":"pith_short_8","alias_value":"DVFPWOKP","created_at":"2026-06-23T01:11:53Z"}],"graph_snapshots":[{"event_id":"sha256:563112a485a3ece343e65aac4a853620cbad52a4bec190ed7cfa19724266792c","target":"graph","created_at":"2026-06-23T01:11:53Z","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/2411.17084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate lower bounds on the subgeometric convergence of adaptive Markov chain Monte Carlo under any adaptation strategy. In particular, we prove general lower bounds in total variation and on the weak convergence rate under general adaptation plans. If the adaptation diminishes sufficiently fast, we also develop comparable convergence rate upper bounds that are capable of approximately matching the convergence rate in the subgeometric lower bound. These results provide insight into the optimal design of adaptation strategies and also limitations on the convergence behavior of adaptive M","authors_text":"Austin Brown, Jeffrey S. Rosenthal","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-26T03:48:22Z","title":"Upper and lower bounds on the subgeometric convergence of adaptive Markov chain Monte Carlo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17084","kind":"arxiv","version":3},"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":"sha256:25d3a029e3f397e500dba17b40a8af4715529f4a83bc21eec8e1c73799fc5743","target":"record","created_at":"2026-06-23T01:11:53Z","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":"8c27dd1d8cdb8957b0bb7945a36e07c3c3a6855d33c48bb0b07d8456396f0043","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2024-11-26T03:48:22Z","title_canon_sha256":"6865a7c275931fc8b86939ee2ab150a150151d9dc3d31cd0a7deec2c79a846ef"},"schema_version":"1.0","source":{"id":"2411.17084","kind":"arxiv","version":3}},"canonical_sha256":"1d4afb394fe4d1b188ecad25547fefde73418f19516807e937034672dd4deb53","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1d4afb394fe4d1b188ecad25547fefde73418f19516807e937034672dd4deb53","first_computed_at":"2026-06-23T01:11:53.459633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:11:53.459633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PaYgRH7DfowQvMB9OSrP8Wk5iiWSebkpzLct/NyWDlFoSOrgK1/3nMYwSkrD79qXQ5xz1XHrj4cVrs9WnHp3AA==","signature_status":"signed_v1","signed_at":"2026-06-23T01:11:53.460142Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17084","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25d3a029e3f397e500dba17b40a8af4715529f4a83bc21eec8e1c73799fc5743","sha256:563112a485a3ece343e65aac4a853620cbad52a4bec190ed7cfa19724266792c"],"state_sha256":"739a309d7624a19c73a17660569f899e3638f50016d24ba79b586591412b08c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5DqI6QkjOH/FtQLK56kLZITBl8zg7jbBaKQbWllGmNaOFAtlrh/s514YjFlxiN/5WQ8JM9g2VlDS3YwxTYlaAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T18:30:03.016587Z","bundle_sha256":"34d52d643b82d07658c9c7fd54771d4783f7adeb1a417878e448ca1daf618941"}}