{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:G6SHRSF7KFYMAHV7CHQTTM7XBX","short_pith_number":"pith:G6SHRSF7","schema_version":"1.0","canonical_sha256":"37a478c8bf5170c01ebf11e139b3f70df587e06bc3f2a9a9afb8a361d21e44d6","source":{"kind":"arxiv","id":"1106.5818","version":1},"attestation_state":"computed","paper":{"title":"Characterizing the process of reaching consensus for social systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Jinn-Wen Wu, Ming-Chang Huang, Yu-Pin Luo","submitted_at":"2011-06-28T22:51:18Z","abstract_excerpt":"A novel way of characterizing the process of reaching consensus for a social system is given. The foundation of the characterization is based on the theorem which states that the sufficient and necessary condition for a system to reach the state of consensus is the occurrence of communicators, defined as the units of the system that can directly communicate with all the others simultaneously. A model is proposed to illustrate the characterization explicitly. The existence of communicators provides an efficient way for unifying two systems that a state of consensus is guaranteed after the merge"},"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":"1106.5818","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-06-28T22:51:18Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"d02ea8626e9d7d37975031ecf37b198c308725fb7302d94b2377a37ccc5762a0","abstract_canon_sha256":"293e7fa48ebf19551e9ae077aff453e7e24971a2b88e98dfca6a565eab1278b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:05.124947Z","signature_b64":"+cLvoxgn0GtgWw1AUmrXUUgrltFcKdswDlBldMe4Bwaib6bRbBU8NPYSrR6UaT8Q5SECn+WJqvOdgMbbzr5OAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"37a478c8bf5170c01ebf11e139b3f70df587e06bc3f2a9a9afb8a361d21e44d6","last_reissued_at":"2026-05-18T04:19:05.124421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:05.124421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing the process of reaching consensus for social systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Jinn-Wen Wu, Ming-Chang Huang, Yu-Pin Luo","submitted_at":"2011-06-28T22:51:18Z","abstract_excerpt":"A novel way of characterizing the process of reaching consensus for a social system is given. The foundation of the characterization is based on the theorem which states that the sufficient and necessary condition for a system to reach the state of consensus is the occurrence of communicators, defined as the units of the system that can directly communicate with all the others simultaneously. A model is proposed to illustrate the characterization explicitly. The existence of communicators provides an efficient way for unifying two systems that a state of consensus is guaranteed after the merge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5818","kind":"arxiv","version":1},"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":"1106.5818","created_at":"2026-05-18T04:19:05.124511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.5818v1","created_at":"2026-05-18T04:19:05.124511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5818","created_at":"2026-05-18T04:19:05.124511+00:00"},{"alias_kind":"pith_short_12","alias_value":"G6SHRSF7KFYM","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"G6SHRSF7KFYMAHV7","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"G6SHRSF7","created_at":"2026-05-18T12:26:28.662955+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/G6SHRSF7KFYMAHV7CHQTTM7XBX","json":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX.json","graph_json":"https://pith.science/api/pith-number/G6SHRSF7KFYMAHV7CHQTTM7XBX/graph.json","events_json":"https://pith.science/api/pith-number/G6SHRSF7KFYMAHV7CHQTTM7XBX/events.json","paper":"https://pith.science/paper/G6SHRSF7"},"agent_actions":{"view_html":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX","download_json":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX.json","view_paper":"https://pith.science/paper/G6SHRSF7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.5818&json=true","fetch_graph":"https://pith.science/api/pith-number/G6SHRSF7KFYMAHV7CHQTTM7XBX/graph.json","fetch_events":"https://pith.science/api/pith-number/G6SHRSF7KFYMAHV7CHQTTM7XBX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX/action/storage_attestation","attest_author":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX/action/author_attestation","sign_citation":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX/action/citation_signature","submit_replication":"https://pith.science/pith/G6SHRSF7KFYMAHV7CHQTTM7XBX/action/replication_record"}},"created_at":"2026-05-18T04:19:05.124511+00:00","updated_at":"2026-05-18T04:19:05.124511+00:00"}