{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:B6D7SSD4AB7QDVFNI6GYQPLSTJ","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":"060ee4e79fa1076a2dcd967c089682506a11fe73bf39f98b6f3034f46f46919b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-11-18T03:07:18Z","title_canon_sha256":"f288c9c1fa3c3b339e41d112b676bd53f4d5a52dcf433eb13f413daa46a6b7c5"},"schema_version":"1.0","source":{"id":"1211.4189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4189","created_at":"2026-05-18T03:40:27Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4189v1","created_at":"2026-05-18T03:40:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4189","created_at":"2026-05-18T03:40:27Z"},{"alias_kind":"pith_short_12","alias_value":"B6D7SSD4AB7Q","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"B6D7SSD4AB7QDVFN","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"B6D7SSD4","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:adc0fde32a5174d8d7b60980bf27a9c4214a36bdf5759c9773366a1df02eabbc","target":"graph","created_at":"2026-05-18T03:40:27Z","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 work, we derive a new upper bound on the termination time of the Hegselmann-Krause model for opinion dynamics. Using a novel method, we show that the termination rate of this dynamics happens no longer than $O(n^3)$ which improves the best known upper bound of $O(n^4)$ by a factor of $n$ .","authors_text":"Behrouz Touri, Soheil Mohajer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-11-18T03:07:18Z","title":"On Convergence Rate of Scalar Hegselmann-Krause Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4189","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":"sha256:5e0b86bca22de8f547ce8b4d05cce8174cba7fb5219031d034bf354550c6866b","target":"record","created_at":"2026-05-18T03:40:27Z","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":"060ee4e79fa1076a2dcd967c089682506a11fe73bf39f98b6f3034f46f46919b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-11-18T03:07:18Z","title_canon_sha256":"f288c9c1fa3c3b339e41d112b676bd53f4d5a52dcf433eb13f413daa46a6b7c5"},"schema_version":"1.0","source":{"id":"1211.4189","kind":"arxiv","version":1}},"canonical_sha256":"0f87f9487c007f01d4ad478d883d729a7f0b76b9f41e75e4e8075ad08535cf35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f87f9487c007f01d4ad478d883d729a7f0b76b9f41e75e4e8075ad08535cf35","first_computed_at":"2026-05-18T03:40:27.710394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:40:27.710394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HIwfVLLoVogpdN3SZvJZG1U64l3VDsQV1klttUFFBbMCOBgFnpxrV8PjBED/3zLL9vqMIeqHn2brXR9IjsBEAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:40:27.711145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e0b86bca22de8f547ce8b4d05cce8174cba7fb5219031d034bf354550c6866b","sha256:adc0fde32a5174d8d7b60980bf27a9c4214a36bdf5759c9773366a1df02eabbc"],"state_sha256":"2e49e042847042075f3c33f7ff51766ab9f74c000b461a7304e453bd3f165082"}