{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:Q7GS353SUAZTJENCV763YRCLTQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"95a9003364f974eb72e543c721fe5b211856df01bd42d723f06ff7236649dd68","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-17T06:51:54Z","title_canon_sha256":"df7ff47ec22c52b970437281d6290b0778eae75dcfbc3949c9edd98af366a0ea"},"schema_version":"1.0","source":{"id":"1005.2818","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.2818","created_at":"2026-05-18T02:07:18Z"},{"alias_kind":"arxiv_version","alias_value":"1005.2818v1","created_at":"2026-05-18T02:07:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2818","created_at":"2026-05-18T02:07:18Z"},{"alias_kind":"pith_short_12","alias_value":"Q7GS353SUAZT","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"Q7GS353SUAZTJENC","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"Q7GS353S","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:ea6857a84848b465747aea1bbdbc946c26c09b7c13e85457a699716c077750d3","target":"graph","created_at":"2026-05-18T02:07:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The  voter model with the node update rule is numerically investigated on a directed network.  We start from a directed hierarchical tree, and split and rewire each incoming arc at the probability $p$.  In order to discriminate the better and worse opinions, we break the $Z_2$  symmetry ($\\sigma = \\pm 1$)  by giving a little more preference to the opinion $\\sigma = 1$. It is found that as $p$ becomes larger, introducing more complicated pattern of information flow channels, and as the network size $N$ becomes larger, the system eventually evolves to the state in which more voters agree on the ","authors_text":"Beom Jun Kim, Jaegon Um, Sung-Guk Han","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-17T06:51:54Z","title":"Voter model on a directed network: Role of bidirectional opinion exchanges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2818","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:61558c4a0ea02af647f6638d07bf77b791dcfc23f781050428924d529633839c","target":"record","created_at":"2026-05-18T02:07:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"95a9003364f974eb72e543c721fe5b211856df01bd42d723f06ff7236649dd68","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-05-17T06:51:54Z","title_canon_sha256":"df7ff47ec22c52b970437281d6290b0778eae75dcfbc3949c9edd98af366a0ea"},"schema_version":"1.0","source":{"id":"1005.2818","kind":"arxiv","version":1}},"canonical_sha256":"87cd2df772a0333491a2affdbc444b9c1e55bc3987287bcbdcf5c0c3f5c7c31f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87cd2df772a0333491a2affdbc444b9c1e55bc3987287bcbdcf5c0c3f5c7c31f","first_computed_at":"2026-05-18T02:07:18.437892Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:18.437892Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z7RRR3AHNgOoaI+4TezE4FCTV06rpL6DNvy0gszMV0ZC0d5jxCJOifCZV8Ur2c37kaunGizwktoLb6y7SZJBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:18.438380Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.2818","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61558c4a0ea02af647f6638d07bf77b791dcfc23f781050428924d529633839c","sha256:ea6857a84848b465747aea1bbdbc946c26c09b7c13e85457a699716c077750d3"],"state_sha256":"c5ab75207cfc5d00d01aaa4ddaf4849640a20ffe624f18008b765300d0bcd5ce"}