{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3HPRV3OYS5GMCDT3QT4MVOLVK7","short_pith_number":"pith:3HPRV3OY","schema_version":"1.0","canonical_sha256":"d9df1aedd8974cc10e7b84f8cab97557fa1712ddfa2e5ecd9cdff3da34293abc","source":{"kind":"arxiv","id":"1205.1075","version":1},"attestation_state":"computed","paper":{"title":"Eulerian Opinion Dynamics with Bounded Confidence and Exogenous Input","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anahita Mirtabatabaei, Francesco Bullo, Peng Jia","submitted_at":"2012-05-04T21:46:13Z","abstract_excerpt":"The formation of opinions in a large population is governed by endogenous (human interactions) and exogenous (media influence) factors. In the analysis of opinion evolution in a large population, decision making rules can be approximated with non-Bayesian \"rule of thumb\" methods. This paper focuses on an Eulerian bounded-confidence model of opinion dynamics with a potential time-varying input. First, we prove some properties of this system's dynamics with time-varying input. Second, we derive a simple sufficient condition for opinion consensus, and prove the convergence of the population's dis"},"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":"1205.1075","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-05-04T21:46:13Z","cross_cats_sorted":[],"title_canon_sha256":"4a8f795f52e7c7995557c7484c2016a48e9094817435f3d82979dee5b76569e1","abstract_canon_sha256":"5a79bb91a0a26806599f5ee0e588745bb849f84b47e7d88739c945451397d9f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:12.204738Z","signature_b64":"GZQhLCkzsXFeZMH2eWL9cbRNk1hmIyctjhYzC+lyxPtY5tFw41MT3MI4hdcBBDAZRcHnin0huYu+t6CwEWp2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9df1aedd8974cc10e7b84f8cab97557fa1712ddfa2e5ecd9cdff3da34293abc","last_reissued_at":"2026-05-18T03:56:12.204052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:12.204052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eulerian Opinion Dynamics with Bounded Confidence and Exogenous Input","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Anahita Mirtabatabaei, Francesco Bullo, Peng Jia","submitted_at":"2012-05-04T21:46:13Z","abstract_excerpt":"The formation of opinions in a large population is governed by endogenous (human interactions) and exogenous (media influence) factors. In the analysis of opinion evolution in a large population, decision making rules can be approximated with non-Bayesian \"rule of thumb\" methods. This paper focuses on an Eulerian bounded-confidence model of opinion dynamics with a potential time-varying input. First, we prove some properties of this system's dynamics with time-varying input. Second, we derive a simple sufficient condition for opinion consensus, and prove the convergence of the population's dis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1075","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":"1205.1075","created_at":"2026-05-18T03:56:12.204157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.1075v1","created_at":"2026-05-18T03:56:12.204157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1075","created_at":"2026-05-18T03:56:12.204157+00:00"},{"alias_kind":"pith_short_12","alias_value":"3HPRV3OYS5GM","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"3HPRV3OYS5GMCDT3","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"3HPRV3OY","created_at":"2026-05-18T12:26:50.516681+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/3HPRV3OYS5GMCDT3QT4MVOLVK7","json":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7.json","graph_json":"https://pith.science/api/pith-number/3HPRV3OYS5GMCDT3QT4MVOLVK7/graph.json","events_json":"https://pith.science/api/pith-number/3HPRV3OYS5GMCDT3QT4MVOLVK7/events.json","paper":"https://pith.science/paper/3HPRV3OY"},"agent_actions":{"view_html":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7","download_json":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7.json","view_paper":"https://pith.science/paper/3HPRV3OY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.1075&json=true","fetch_graph":"https://pith.science/api/pith-number/3HPRV3OYS5GMCDT3QT4MVOLVK7/graph.json","fetch_events":"https://pith.science/api/pith-number/3HPRV3OYS5GMCDT3QT4MVOLVK7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7/action/storage_attestation","attest_author":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7/action/author_attestation","sign_citation":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7/action/citation_signature","submit_replication":"https://pith.science/pith/3HPRV3OYS5GMCDT3QT4MVOLVK7/action/replication_record"}},"created_at":"2026-05-18T03:56:12.204157+00:00","updated_at":"2026-05-18T03:56:12.204157+00:00"}