{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:M6FF7HSUIKZPUHXMELJN773NIO","short_pith_number":"pith:M6FF7HSU","schema_version":"1.0","canonical_sha256":"678a5f9e5442b2fa1eec22d2dfff6d439021f09a06974035067c2699873fd9f4","source":{"kind":"arxiv","id":"1301.4055","version":3},"attestation_state":"computed","paper":{"title":"Structure and eigenvalues of heat-bath Markov chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Catherine Greenhill, Mario Ullrich, Martin Dyer","submitted_at":"2013-01-17T11:39:47Z","abstract_excerpt":"We prove that heat-bath chains (which we define in a general setting) have no negative eigenvalues. Two applications of this result are presented: one to single-site heat-bath chains for spin systems and one to a heat-bath Markov chain for sampling contingency tables. Some implications of our main result for the analysis of the mixing time of heat-bath Markov chains are discussed. We also prove an alternative characterisation of heat-bath chains, and consider possible generalisations."},"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":"1301.4055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-01-17T11:39:47Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"84c02766fc224b70a713beb108f7d39675ffbc0946762bd02be6d87f122c9829","abstract_canon_sha256":"6db9476da2a6aa2136f16047590c13c2430263324bd0c1ae96385fde078bef27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:57.186711Z","signature_b64":"e4tSy7FsJFkjOesvdJ0bKBqK1q0O0v6cMKInW296ON8CDqcsLOfymQkSphmSWAIGF3RjuaJokX3HCxYmNML/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"678a5f9e5442b2fa1eec22d2dfff6d439021f09a06974035067c2699873fd9f4","last_reissued_at":"2026-05-18T02:51:57.186236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:57.186236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Structure and eigenvalues of heat-bath Markov chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"math.CO","authors_text":"Catherine Greenhill, Mario Ullrich, Martin Dyer","submitted_at":"2013-01-17T11:39:47Z","abstract_excerpt":"We prove that heat-bath chains (which we define in a general setting) have no negative eigenvalues. Two applications of this result are presented: one to single-site heat-bath chains for spin systems and one to a heat-bath Markov chain for sampling contingency tables. Some implications of our main result for the analysis of the mixing time of heat-bath Markov chains are discussed. We also prove an alternative characterisation of heat-bath chains, and consider possible generalisations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4055","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":""},"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":"1301.4055","created_at":"2026-05-18T02:51:57.186312+00:00"},{"alias_kind":"arxiv_version","alias_value":"1301.4055v3","created_at":"2026-05-18T02:51:57.186312+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4055","created_at":"2026-05-18T02:51:57.186312+00:00"},{"alias_kind":"pith_short_12","alias_value":"M6FF7HSUIKZP","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"M6FF7HSUIKZPUHXM","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"M6FF7HSU","created_at":"2026-05-18T12:27:51.066281+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO","json":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO.json","graph_json":"https://pith.science/api/pith-number/M6FF7HSUIKZPUHXMELJN773NIO/graph.json","events_json":"https://pith.science/api/pith-number/M6FF7HSUIKZPUHXMELJN773NIO/events.json","paper":"https://pith.science/paper/M6FF7HSU"},"agent_actions":{"view_html":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO","download_json":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO.json","view_paper":"https://pith.science/paper/M6FF7HSU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1301.4055&json=true","fetch_graph":"https://pith.science/api/pith-number/M6FF7HSUIKZPUHXMELJN773NIO/graph.json","fetch_events":"https://pith.science/api/pith-number/M6FF7HSUIKZPUHXMELJN773NIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO/action/storage_attestation","attest_author":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO/action/author_attestation","sign_citation":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO/action/citation_signature","submit_replication":"https://pith.science/pith/M6FF7HSUIKZPUHXMELJN773NIO/action/replication_record"}},"created_at":"2026-05-18T02:51:57.186312+00:00","updated_at":"2026-05-18T02:51:57.186312+00:00"}