{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:6ZHIUVECK72NOKYZE3PZFDCFZF","short_pith_number":"pith:6ZHIUVEC","schema_version":"1.0","canonical_sha256":"f64e8a548257f4d72b1926df928c45c95c33fd249bf80198ce81dfdb8ab6fc3d","source":{"kind":"arxiv","id":"0707.0500","version":3},"attestation_state":"computed","paper":{"title":"Location-Aided Fast Distributed Consensus in Wireless Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Huaiyu Dai, Wenjun Li, Yanbing Zhang","submitted_at":"2007-07-03T20:47:08Z","abstract_excerpt":"Existing works on distributed consensus explore linear iterations based on reversible Markov chains, which contribute to the slow convergence of the algorithms. It has been observed that by overcoming the diffusive behavior of reversible chains, certain nonreversible chains lifted from reversible ones mix substantially faster than the original chains. In this paper, we investigate the idea of accelerating distributed consensus via lifting Markov chains, and propose a class of Location-Aided Distributed Averaging (LADA) algorithms for wireless networks, where nodes' coarse location information "},"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":"0707.0500","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2007-07-03T20:47:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"c4b57d20aa5b63e839924e367b59d4c19617361979927feca86da0875ef04c13","abstract_canon_sha256":"bfbb7cf751774b9f9724b92280d1d9f4a1ad65f292bfc5f37f46c2994b1b9679"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:58.898358Z","signature_b64":"KbIIWqzY0FPwrgXb085b0x+XYo0SK2k9rhMxdwI2N8ooWaHQLf7xXNuiRkbC73/83NCFtdF6RJtHDtOvyHMIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f64e8a548257f4d72b1926df928c45c95c33fd249bf80198ce81dfdb8ab6fc3d","last_reissued_at":"2026-05-18T00:57:58.897793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:58.897793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Location-Aided Fast Distributed Consensus in Wireless Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Huaiyu Dai, Wenjun Li, Yanbing Zhang","submitted_at":"2007-07-03T20:47:08Z","abstract_excerpt":"Existing works on distributed consensus explore linear iterations based on reversible Markov chains, which contribute to the slow convergence of the algorithms. It has been observed that by overcoming the diffusive behavior of reversible chains, certain nonreversible chains lifted from reversible ones mix substantially faster than the original chains. In this paper, we investigate the idea of accelerating distributed consensus via lifting Markov chains, and propose a class of Location-Aided Distributed Averaging (LADA) algorithms for wireless networks, where nodes' coarse location information "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.0500","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":"0707.0500","created_at":"2026-05-18T00:57:58.897859+00:00"},{"alias_kind":"arxiv_version","alias_value":"0707.0500v3","created_at":"2026-05-18T00:57:58.897859+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.0500","created_at":"2026-05-18T00:57:58.897859+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ZHIUVECK72N","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ZHIUVECK72NOKYZ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ZHIUVEC","created_at":"2026-05-18T12:25:55.427421+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/6ZHIUVECK72NOKYZE3PZFDCFZF","json":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF.json","graph_json":"https://pith.science/api/pith-number/6ZHIUVECK72NOKYZE3PZFDCFZF/graph.json","events_json":"https://pith.science/api/pith-number/6ZHIUVECK72NOKYZE3PZFDCFZF/events.json","paper":"https://pith.science/paper/6ZHIUVEC"},"agent_actions":{"view_html":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF","download_json":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF.json","view_paper":"https://pith.science/paper/6ZHIUVEC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0707.0500&json=true","fetch_graph":"https://pith.science/api/pith-number/6ZHIUVECK72NOKYZE3PZFDCFZF/graph.json","fetch_events":"https://pith.science/api/pith-number/6ZHIUVECK72NOKYZE3PZFDCFZF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF/action/storage_attestation","attest_author":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF/action/author_attestation","sign_citation":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF/action/citation_signature","submit_replication":"https://pith.science/pith/6ZHIUVECK72NOKYZE3PZFDCFZF/action/replication_record"}},"created_at":"2026-05-18T00:57:58.897859+00:00","updated_at":"2026-05-18T00:57:58.897859+00:00"}