{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:P6AAOFJISUDUBTP2MIB3AEPUIZ","short_pith_number":"pith:P6AAOFJI","schema_version":"1.0","canonical_sha256":"7f80071528950740cdfa6203b011f44676bb02e9daf4f159b05a442f09708787","source":{"kind":"arxiv","id":"2103.11609","version":2},"attestation_state":"computed","paper":{"title":"From Coupling to Spectral Independence and Blackbox Comparison with the Down-Up Walk","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","math-ph","math.MP","math.PR"],"primary_cat":"cs.DM","authors_text":"Kuikui Liu","submitted_at":"2021-03-22T06:32:11Z","abstract_excerpt":"We show that the existence of a \"good\"' coupling w.r.t. Hamming distance for any local Markov chain on a discrete product space implies rapid mixing of the Glauber dynamics in a blackbox fashion. More specifically, we only require the expected distance between successive iterates under the coupling to be summable, as opposed to being one-step contractive in the worst case. Combined with recent local-to-global arguments \\cite{CLV21}, we establish asymptotically optimal lower bounds on the standard and modified log-Sobolev constants for the Glauber dynamics for sampling from spin systems on boun"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2103.11609","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DM","submitted_at":"2021-03-22T06:32:11Z","cross_cats_sorted":["cs.DS","math-ph","math.MP","math.PR"],"title_canon_sha256":"15d8e8fe669a841f7d8e112d16ce00a85d4753e01ad39feea1aa576576b853cb","abstract_canon_sha256":"e51826598ef31f336911055c687007bbba2bd013acdc548b1c3a350f2a7ab4b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:58:40.655988Z","signature_b64":"bADoOEg1WvP2HP08rnda99gXuD3t4Lgot5XhTBKaZQTkimVOuJtCoEbY7CpMi0XKzbwMcAX7JbJWGGrhSe0QDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f80071528950740cdfa6203b011f44676bb02e9daf4f159b05a442f09708787","last_reissued_at":"2026-07-05T02:58:40.655559Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:58:40.655559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From Coupling to Spectral Independence and Blackbox Comparison with the Down-Up Walk","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS","math-ph","math.MP","math.PR"],"primary_cat":"cs.DM","authors_text":"Kuikui Liu","submitted_at":"2021-03-22T06:32:11Z","abstract_excerpt":"We show that the existence of a \"good\"' coupling w.r.t. Hamming distance for any local Markov chain on a discrete product space implies rapid mixing of the Glauber dynamics in a blackbox fashion. More specifically, we only require the expected distance between successive iterates under the coupling to be summable, as opposed to being one-step contractive in the worst case. Combined with recent local-to-global arguments \\cite{CLV21}, we establish asymptotically optimal lower bounds on the standard and modified log-Sobolev constants for the Glauber dynamics for sampling from spin systems on boun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.11609","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2103.11609/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2103.11609","created_at":"2026-07-05T02:58:40.655622+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.11609v2","created_at":"2026-07-05T02:58:40.655622+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.11609","created_at":"2026-07-05T02:58:40.655622+00:00"},{"alias_kind":"pith_short_12","alias_value":"P6AAOFJISUDU","created_at":"2026-07-05T02:58:40.655622+00:00"},{"alias_kind":"pith_short_16","alias_value":"P6AAOFJISUDUBTP2","created_at":"2026-07-05T02:58:40.655622+00:00"},{"alias_kind":"pith_short_8","alias_value":"P6AAOFJI","created_at":"2026-07-05T02:58:40.655622+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2312.02089","citing_title":"Sequential Sweeps and High Dimensional Expansion","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ","json":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ.json","graph_json":"https://pith.science/api/pith-number/P6AAOFJISUDUBTP2MIB3AEPUIZ/graph.json","events_json":"https://pith.science/api/pith-number/P6AAOFJISUDUBTP2MIB3AEPUIZ/events.json","paper":"https://pith.science/paper/P6AAOFJI"},"agent_actions":{"view_html":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ","download_json":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ.json","view_paper":"https://pith.science/paper/P6AAOFJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.11609&json=true","fetch_graph":"https://pith.science/api/pith-number/P6AAOFJISUDUBTP2MIB3AEPUIZ/graph.json","fetch_events":"https://pith.science/api/pith-number/P6AAOFJISUDUBTP2MIB3AEPUIZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ/action/storage_attestation","attest_author":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ/action/author_attestation","sign_citation":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ/action/citation_signature","submit_replication":"https://pith.science/pith/P6AAOFJISUDUBTP2MIB3AEPUIZ/action/replication_record"}},"created_at":"2026-07-05T02:58:40.655622+00:00","updated_at":"2026-07-05T02:58:40.655622+00:00"}