{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6QTOCBG72OVXLAMGQH7EC7L3Z7","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":"4d170af38bcc153ff9e2019d454a6bf68267be861d8165bf74798f45ba172ea9","cross_cats_sorted":["cs.SY","math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-09-14T13:18:22Z","title_canon_sha256":"fb5975d49a7f14fbc9e45d3f90f1f79e4636039dd75bc0fb578d9a6f9d30dad7"},"schema_version":"1.0","source":{"id":"1009.2653","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2653","created_at":"2026-05-18T03:39:42Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2653v4","created_at":"2026-05-18T03:39:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2653","created_at":"2026-05-18T03:39:42Z"},{"alias_kind":"pith_short_12","alias_value":"6QTOCBG72OVX","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6QTOCBG72OVXLAMG","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6QTOCBG7","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:cb747c1b369f9ee54d9ee7e16f62c63323636d98439908e34aca343ab21f782f","target":"graph","created_at":"2026-05-18T03:39:42Z","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":"We study a tractable opinion dynamics model that generates long-run disagreements and persistent opinion fluctuations. Our model involves an inhomogeneous stochastic gossip process of continuous opinion dynamics in a society consisting of two types of agents: regular agents, who update their beliefs according to information that they receive from their social neighbors; and stubborn agents, who never update their opinions. When the society contains stubborn agents with different opinions, the belief dynamics never lead to a consensus (among the regular agents). Instead, beliefs in the society ","authors_text":"Asuman Ozdaglar, Daron Acemoglu, Fabio Fagnani, Giacomo Como","cross_cats":["cs.SY","math.OC","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-09-14T13:18:22Z","title":"Opinion fluctuations and disagreement in social networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2653","kind":"arxiv","version":4},"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:a0673b64c6e46c8fb215d9a12483f6a67e094b70f414b04a63a54d72c220a7fc","target":"record","created_at":"2026-05-18T03:39:42Z","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":"4d170af38bcc153ff9e2019d454a6bf68267be861d8165bf74798f45ba172ea9","cross_cats_sorted":["cs.SY","math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-09-14T13:18:22Z","title_canon_sha256":"fb5975d49a7f14fbc9e45d3f90f1f79e4636039dd75bc0fb578d9a6f9d30dad7"},"schema_version":"1.0","source":{"id":"1009.2653","kind":"arxiv","version":4}},"canonical_sha256":"f426e104dfd3ab75818681fe417d7bcfc68cd3fdc5ad61430fe9001a87877143","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f426e104dfd3ab75818681fe417d7bcfc68cd3fdc5ad61430fe9001a87877143","first_computed_at":"2026-05-18T03:39:42.188803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:42.188803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"addLte/2BX09NiugGquYC1X3iHGQgZgnUlxtol2YdHXvL3IpLGMWp1Bd2vXyZIRbZcs06jD+HK4Otx9CEUmhCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:42.189632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2653","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0673b64c6e46c8fb215d9a12483f6a67e094b70f414b04a63a54d72c220a7fc","sha256:cb747c1b369f9ee54d9ee7e16f62c63323636d98439908e34aca343ab21f782f"],"state_sha256":"9f6fcd8741f6d553c18f4c85d82816e70cb7e5e571b087f8c48263dc8cbb5468"}