{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:Y33S5YZTQXG6GHHUOGK7DNX6UR","short_pith_number":"pith:Y33S5YZT","schema_version":"1.0","canonical_sha256":"c6f72ee33385cde31cf47195f1b6fea45eaf795150f36b3be66c4cea4d3c95f7","source":{"kind":"arxiv","id":"1611.01732","version":3},"attestation_state":"computed","paper":{"title":"Finite-Time Elimination of Disagreement of Opinion Dynamics via Covert Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","cs.SI","math.IT","nlin.AO"],"primary_cat":"math.OC","authors_text":"Ge Chen, Wei Su, Yongguang Yu","submitted_at":"2016-11-06T07:07:50Z","abstract_excerpt":"Eliminating disagreement in a group is usually beneficial to the social stability. In this paper, using the well-known Hegselmann-Krause (HK) model, we design a quite simple strategy that could resolve the opinion difference of the system in finite time and induce the opinions synchronized to a targeted value. To be specific, we intentionally introduce weak random noise to only one agent to affect its opinion in the evolution and also a leader agent with fixed opinion in a divisive group, then strictly prove that the disagreement is finally eliminated and the opinions get synchronized to the l"},"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":"1611.01732","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-11-06T07:07:50Z","cross_cats_sorted":["cs.IT","cs.SI","math.IT","nlin.AO"],"title_canon_sha256":"6ad0bd125602ca297986bd783d66e02532064504ba715e5d199d59f911ec05a0","abstract_canon_sha256":"5a89177a14a2a155f071e19ae5692eb27e6d803ff579f82196146db1935dc9df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:20.592539Z","signature_b64":"kEKtx9mpoh5uT74MUKP0zJCIlxfMZiPPunm+n50jvgYW3Unf0k5IMoZ9rhwz043nSu5/9jo1bVUKEyPPSU08Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6f72ee33385cde31cf47195f1b6fea45eaf795150f36b3be66c4cea4d3c95f7","last_reissued_at":"2026-05-18T00:46:20.591885Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:20.591885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite-Time Elimination of Disagreement of Opinion Dynamics via Covert Noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","cs.SI","math.IT","nlin.AO"],"primary_cat":"math.OC","authors_text":"Ge Chen, Wei Su, Yongguang Yu","submitted_at":"2016-11-06T07:07:50Z","abstract_excerpt":"Eliminating disagreement in a group is usually beneficial to the social stability. In this paper, using the well-known Hegselmann-Krause (HK) model, we design a quite simple strategy that could resolve the opinion difference of the system in finite time and induce the opinions synchronized to a targeted value. To be specific, we intentionally introduce weak random noise to only one agent to affect its opinion in the evolution and also a leader agent with fixed opinion in a divisive group, then strictly prove that the disagreement is finally eliminated and the opinions get synchronized to the l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01732","kind":"arxiv","version":3},"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":"1611.01732","created_at":"2026-05-18T00:46:20.591986+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.01732v3","created_at":"2026-05-18T00:46:20.591986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01732","created_at":"2026-05-18T00:46:20.591986+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y33S5YZTQXG6","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y33S5YZTQXG6GHHU","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y33S5YZT","created_at":"2026-05-18T12:30:51.357362+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/Y33S5YZTQXG6GHHUOGK7DNX6UR","json":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR.json","graph_json":"https://pith.science/api/pith-number/Y33S5YZTQXG6GHHUOGK7DNX6UR/graph.json","events_json":"https://pith.science/api/pith-number/Y33S5YZTQXG6GHHUOGK7DNX6UR/events.json","paper":"https://pith.science/paper/Y33S5YZT"},"agent_actions":{"view_html":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR","download_json":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR.json","view_paper":"https://pith.science/paper/Y33S5YZT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.01732&json=true","fetch_graph":"https://pith.science/api/pith-number/Y33S5YZTQXG6GHHUOGK7DNX6UR/graph.json","fetch_events":"https://pith.science/api/pith-number/Y33S5YZTQXG6GHHUOGK7DNX6UR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR/action/storage_attestation","attest_author":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR/action/author_attestation","sign_citation":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR/action/citation_signature","submit_replication":"https://pith.science/pith/Y33S5YZTQXG6GHHUOGK7DNX6UR/action/replication_record"}},"created_at":"2026-05-18T00:46:20.591986+00:00","updated_at":"2026-05-18T00:46:20.591986+00:00"}