{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WP6CRREAFBVJMQBAI3ON4EPWV2","short_pith_number":"pith:WP6CRREA","canonical_record":{"source":{"id":"1309.0659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-09-03T12:45:55Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"406caf1e1094651d19ee02abea96819c0a940c7be0aa8bd682f69755d1bd6645","abstract_canon_sha256":"b40fc3401709071b90affdaf0579b5d60f40f86c2a399c7b62db98de38926a87"},"schema_version":"1.0"},"canonical_sha256":"b3fc28c480286a96402046dcde11f6ae8b22764a983e7d783ec982c5a1971272","source":{"kind":"arxiv","id":"1309.0659","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0659","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0659v1","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0659","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"WP6CRREAFBVJ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WP6CRREAFBVJMQBA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WP6CRREA","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WP6CRREAFBVJMQBAI3ON4EPWV2","target":"record","payload":{"canonical_record":{"source":{"id":"1309.0659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-09-03T12:45:55Z","cross_cats_sorted":["cs.SI","physics.soc-ph"],"title_canon_sha256":"406caf1e1094651d19ee02abea96819c0a940c7be0aa8bd682f69755d1bd6645","abstract_canon_sha256":"b40fc3401709071b90affdaf0579b5d60f40f86c2a399c7b62db98de38926a87"},"schema_version":"1.0"},"canonical_sha256":"b3fc28c480286a96402046dcde11f6ae8b22764a983e7d783ec982c5a1971272","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:18.427776Z","signature_b64":"rUaGmimpTSSpSuIKgwoiCUcAkKDjsrhkwOKcy5WeWXe6FZzxQjCM5jVxzkg8UKeBxcIlWawNZHDspEjLVmlmCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3fc28c480286a96402046dcde11f6ae8b22764a983e7d783ec982c5a1971272","last_reissued_at":"2026-05-18T03:14:18.427108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:18.427108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.0659","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:14:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8UO6sAKzjw578YPup5U2xEhF8uHznui42ItrXvhvIZGsAcYCRMeaaEdBoGf3Oakm99lk/YhEnxTE+9A9SZFlAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:02:22.433930Z"},"content_sha256":"b4293ffba6fac76e7eaf8b0f339db68da985b6335dfa53a67e979cf2389bea5f","schema_version":"1.0","event_id":"sha256:b4293ffba6fac76e7eaf8b0f339db68da985b6335dfa53a67e979cf2389bea5f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WP6CRREAFBVJMQBAI3ON4EPWV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Majority Rule for Belief Evolution in Social Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph"],"primary_cat":"cs.AI","authors_text":"Yi Zhou","submitted_at":"2013-09-03T12:45:55Z","abstract_excerpt":"In this paper, we study how an agent's belief is affected by her neighbors in a social network. We first introduce a general framework, where every agent has an initial belief on a statement, and updates her belief according to her and her neighbors' current beliefs under some belief evolution functions, which, arguably, should satisfy some basic properties. Then, we focus on the majority rule belief evolution function, that is, an agent will (dis)believe the statement iff more than half of her neighbors (dis)believe it. We consider some fundamental issues about majority rule belief evolution,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0659","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:14:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bgRl/WFwF8ZpD6FurVUfNrZ5P4lpU3iILkCLYeaQWZHvdfFwgvYvxZpIMXliJ2rIhLs0ljRF7OideAWo2dpyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:02:22.434621Z"},"content_sha256":"cd0a44b2ab01d39d9b54ecb72291d055a6d7ebd19e48a9723e4e82cdc00a7cf3","schema_version":"1.0","event_id":"sha256:cd0a44b2ab01d39d9b54ecb72291d055a6d7ebd19e48a9723e4e82cdc00a7cf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WP6CRREAFBVJMQBAI3ON4EPWV2/bundle.json","state_url":"https://pith.science/pith/WP6CRREAFBVJMQBAI3ON4EPWV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WP6CRREAFBVJMQBAI3ON4EPWV2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T21:02:22Z","links":{"resolver":"https://pith.science/pith/WP6CRREAFBVJMQBAI3ON4EPWV2","bundle":"https://pith.science/pith/WP6CRREAFBVJMQBAI3ON4EPWV2/bundle.json","state":"https://pith.science/pith/WP6CRREAFBVJMQBAI3ON4EPWV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WP6CRREAFBVJMQBAI3ON4EPWV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WP6CRREAFBVJMQBAI3ON4EPWV2","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":"b40fc3401709071b90affdaf0579b5d60f40f86c2a399c7b62db98de38926a87","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-09-03T12:45:55Z","title_canon_sha256":"406caf1e1094651d19ee02abea96819c0a940c7be0aa8bd682f69755d1bd6645"},"schema_version":"1.0","source":{"id":"1309.0659","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.0659","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"1309.0659v1","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.0659","created_at":"2026-05-18T03:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"WP6CRREAFBVJ","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WP6CRREAFBVJMQBA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WP6CRREA","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:cd0a44b2ab01d39d9b54ecb72291d055a6d7ebd19e48a9723e4e82cdc00a7cf3","target":"graph","created_at":"2026-05-18T03:14:18Z","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":"In this paper, we study how an agent's belief is affected by her neighbors in a social network. We first introduce a general framework, where every agent has an initial belief on a statement, and updates her belief according to her and her neighbors' current beliefs under some belief evolution functions, which, arguably, should satisfy some basic properties. Then, we focus on the majority rule belief evolution function, that is, an agent will (dis)believe the statement iff more than half of her neighbors (dis)believe it. We consider some fundamental issues about majority rule belief evolution,","authors_text":"Yi Zhou","cross_cats":["cs.SI","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-09-03T12:45:55Z","title":"Majority Rule for Belief Evolution in Social Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.0659","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:b4293ffba6fac76e7eaf8b0f339db68da985b6335dfa53a67e979cf2389bea5f","target":"record","created_at":"2026-05-18T03:14:18Z","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":"b40fc3401709071b90affdaf0579b5d60f40f86c2a399c7b62db98de38926a87","cross_cats_sorted":["cs.SI","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-09-03T12:45:55Z","title_canon_sha256":"406caf1e1094651d19ee02abea96819c0a940c7be0aa8bd682f69755d1bd6645"},"schema_version":"1.0","source":{"id":"1309.0659","kind":"arxiv","version":1}},"canonical_sha256":"b3fc28c480286a96402046dcde11f6ae8b22764a983e7d783ec982c5a1971272","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3fc28c480286a96402046dcde11f6ae8b22764a983e7d783ec982c5a1971272","first_computed_at":"2026-05-18T03:14:18.427108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:18.427108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rUaGmimpTSSpSuIKgwoiCUcAkKDjsrhkwOKcy5WeWXe6FZzxQjCM5jVxzkg8UKeBxcIlWawNZHDspEjLVmlmCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:18.427776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.0659","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4293ffba6fac76e7eaf8b0f339db68da985b6335dfa53a67e979cf2389bea5f","sha256:cd0a44b2ab01d39d9b54ecb72291d055a6d7ebd19e48a9723e4e82cdc00a7cf3"],"state_sha256":"3db3ff3f5f3808486a25bf8f2959b0419f889bbafeec0795054a28ead5666101"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ebfy2RQzNHRU+YwcomI82tKXi/hWC6UrAC5LYW+pu9uNlyYyothklGkxZuErkmd/n9jftvoKnI0R/xQKvyiIAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:02:22.438704Z","bundle_sha256":"12e8403e76e6c65bb0e6cf969e3d39f94b027156558d1dada5ee5f38de4b5c68"}}