{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:PCTZLVNAHSX336QEZM2WAXXO5Q","short_pith_number":"pith:PCTZLVNA","schema_version":"1.0","canonical_sha256":"78a795d5a03cafbdfa04cb35605eeeec1a2bf3cd7e5d64876436739c96b87bc9","source":{"kind":"arxiv","id":"1509.01431","version":4},"attestation_state":"computed","paper":{"title":"Improved mixing rates of directed cycles by added connection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bal\\'azs Gerencs\\'er, Julien Hendrickx","submitted_at":"2015-09-04T12:49:38Z","abstract_excerpt":"We investigate the mixing rate of a Markov chain where a combination of long distance edges and non-reversibility is introduced: as a first step, we focus here on the following graphs: starting from the cycle graph, we select random nodes and add all edges connecting them. We prove a square factor improvement of the mixing rate compared to the reversible version of the Markov chain."},"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":"1509.01431","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-04T12:49:38Z","cross_cats_sorted":[],"title_canon_sha256":"2ef97921c2dd3e1389d8b41d73a016cabfe18e3d2f5a19a4b9f4c63cbcca9d64","abstract_canon_sha256":"55f8cf6d9f274916133584f94d152d7e826c465d0f9106822cc194641e5ab762"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:57.421650Z","signature_b64":"E3URj0gBRuT8VJKaddQsD9Qfkjcya5GyFz2yOTsnL2rmlKr569tFYO6trZyFm+Rxn5rTa9NuGBqzqNl/0Af1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78a795d5a03cafbdfa04cb35605eeeec1a2bf3cd7e5d64876436739c96b87bc9","last_reissued_at":"2026-05-18T00:23:57.420981Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:57.420981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Improved mixing rates of directed cycles by added connection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bal\\'azs Gerencs\\'er, Julien Hendrickx","submitted_at":"2015-09-04T12:49:38Z","abstract_excerpt":"We investigate the mixing rate of a Markov chain where a combination of long distance edges and non-reversibility is introduced: as a first step, we focus here on the following graphs: starting from the cycle graph, we select random nodes and add all edges connecting them. We prove a square factor improvement of the mixing rate compared to the reversible version of the Markov chain."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.01431","kind":"arxiv","version":4},"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":"1509.01431","created_at":"2026-05-18T00:23:57.421083+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.01431v4","created_at":"2026-05-18T00:23:57.421083+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.01431","created_at":"2026-05-18T00:23:57.421083+00:00"},{"alias_kind":"pith_short_12","alias_value":"PCTZLVNAHSX3","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_16","alias_value":"PCTZLVNAHSX336QE","created_at":"2026-05-18T12:29:37.295048+00:00"},{"alias_kind":"pith_short_8","alias_value":"PCTZLVNA","created_at":"2026-05-18T12:29:37.295048+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/PCTZLVNAHSX336QEZM2WAXXO5Q","json":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q.json","graph_json":"https://pith.science/api/pith-number/PCTZLVNAHSX336QEZM2WAXXO5Q/graph.json","events_json":"https://pith.science/api/pith-number/PCTZLVNAHSX336QEZM2WAXXO5Q/events.json","paper":"https://pith.science/paper/PCTZLVNA"},"agent_actions":{"view_html":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q","download_json":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q.json","view_paper":"https://pith.science/paper/PCTZLVNA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.01431&json=true","fetch_graph":"https://pith.science/api/pith-number/PCTZLVNAHSX336QEZM2WAXXO5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/PCTZLVNAHSX336QEZM2WAXXO5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q/action/storage_attestation","attest_author":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q/action/author_attestation","sign_citation":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q/action/citation_signature","submit_replication":"https://pith.science/pith/PCTZLVNAHSX336QEZM2WAXXO5Q/action/replication_record"}},"created_at":"2026-05-18T00:23:57.421083+00:00","updated_at":"2026-05-18T00:23:57.421083+00:00"}