{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IMREXPOJ37XWRMRHVTCC7ZTJNJ","short_pith_number":"pith:IMREXPOJ","canonical_record":{"source":{"id":"1711.01432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-11-04T13:00:41Z","cross_cats_sorted":["cs.MA","cs.SI","math.OC","nlin.CG"],"title_canon_sha256":"056a0a186f4221ffcf991a9dc36ec22b7db4537934a6908e7c48738c5bff3ccd","abstract_canon_sha256":"4d937f2299473e3f98655e435af42f38500d68713f681e16fa359ff7657d2ffe"},"schema_version":"1.0"},"canonical_sha256":"43224bbdc9dfef68b227acc42fe6696a5cfdfffc0a782d89616c7cdffd3ae8d1","source":{"kind":"arxiv","id":"1711.01432","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01432","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01432v2","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01432","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"IMREXPOJ37XW","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IMREXPOJ37XWRMRH","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IMREXPOJ","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IMREXPOJ37XWRMRHVTCC7ZTJNJ","target":"record","payload":{"canonical_record":{"source":{"id":"1711.01432","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-11-04T13:00:41Z","cross_cats_sorted":["cs.MA","cs.SI","math.OC","nlin.CG"],"title_canon_sha256":"056a0a186f4221ffcf991a9dc36ec22b7db4537934a6908e7c48738c5bff3ccd","abstract_canon_sha256":"4d937f2299473e3f98655e435af42f38500d68713f681e16fa359ff7657d2ffe"},"schema_version":"1.0"},"canonical_sha256":"43224bbdc9dfef68b227acc42fe6696a5cfdfffc0a782d89616c7cdffd3ae8d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:44.437572Z","signature_b64":"TaunlFYqJIDLJXDCFntE26pUEMm3AgcJ1FbzT0JZYQ9T7PrFEERQmqWRCLGwaNBV8hyY7FH612Yd8SpmmIE1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43224bbdc9dfef68b227acc42fe6696a5cfdfffc0a782d89616c7cdffd3ae8d1","last_reissued_at":"2026-05-17T23:52:44.437002Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:44.437002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.01432","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JHsfETnZzvJpz69doeW9hJerHLRYHEDD+XwZkHXQko8nejIUxYLpLiCTi+Gv67DQCM0w9pGZNobYI0tbW6+tDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:44:14.043807Z"},"content_sha256":"2ea881489c90f2790d9d7e65e1e7ef1b20fe37cbcce2810f45d2e2bb124fbac8","schema_version":"1.0","event_id":"sha256:2ea881489c90f2790d9d7e65e1e7ef1b20fe37cbcce2810f45d2e2bb124fbac8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IMREXPOJ37XWRMRHVTCC7ZTJNJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noise-induced synchronization of Hegselmann-Krause dynamics in full space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA","cs.SI","math.OC","nlin.CG"],"primary_cat":"nlin.AO","authors_text":"Ge Chen, Jin Guo, Wei Su, Xianzhong Chen","submitted_at":"2017-11-04T13:00:41Z","abstract_excerpt":"The Hegselmann-Krause (HK) model is a typical self-organizing system with local rule dynamics. In spite of its widespread use and numerous extensions, the underlying theory of its synchronization induced by noise still needs to be developed. In its original formulation, as a model first proposed to address opinion dynamics, its state-space was assumed to be bounded, and the theoretical analysis of noise-induced synchronization for this particular situation has been well established. However, when system states are allowed to exist in an unbounded space, mathematical difficulties arise whose th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01432","kind":"arxiv","version":2},"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":"2026-05-17T23:52:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CgHl0YG5FdPp0qsYL5bFdnmP/6kRq68oztb4E265YELNSsDX4ZWxl6DgawteyzFMDXykKNpNTFbqAUehDSjvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:44:14.044463Z"},"content_sha256":"e5fa0dda963606c5107dfa0f9fb56032be0979772c19d4f4e0324aa8a3cc0314","schema_version":"1.0","event_id":"sha256:e5fa0dda963606c5107dfa0f9fb56032be0979772c19d4f4e0324aa8a3cc0314"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ/bundle.json","state_url":"https://pith.science/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ/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":"2026-05-30T08:44:14Z","links":{"resolver":"https://pith.science/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ","bundle":"https://pith.science/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ/bundle.json","state":"https://pith.science/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IMREXPOJ37XWRMRHVTCC7ZTJNJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IMREXPOJ37XWRMRHVTCC7ZTJNJ","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":"4d937f2299473e3f98655e435af42f38500d68713f681e16fa359ff7657d2ffe","cross_cats_sorted":["cs.MA","cs.SI","math.OC","nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-11-04T13:00:41Z","title_canon_sha256":"056a0a186f4221ffcf991a9dc36ec22b7db4537934a6908e7c48738c5bff3ccd"},"schema_version":"1.0","source":{"id":"1711.01432","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01432","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01432v2","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01432","created_at":"2026-05-17T23:52:44Z"},{"alias_kind":"pith_short_12","alias_value":"IMREXPOJ37XW","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IMREXPOJ37XWRMRH","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IMREXPOJ","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:e5fa0dda963606c5107dfa0f9fb56032be0979772c19d4f4e0324aa8a3cc0314","target":"graph","created_at":"2026-05-17T23:52:44Z","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":"The Hegselmann-Krause (HK) model is a typical self-organizing system with local rule dynamics. In spite of its widespread use and numerous extensions, the underlying theory of its synchronization induced by noise still needs to be developed. In its original formulation, as a model first proposed to address opinion dynamics, its state-space was assumed to be bounded, and the theoretical analysis of noise-induced synchronization for this particular situation has been well established. However, when system states are allowed to exist in an unbounded space, mathematical difficulties arise whose th","authors_text":"Ge Chen, Jin Guo, Wei Su, Xianzhong Chen","cross_cats":["cs.MA","cs.SI","math.OC","nlin.CG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-11-04T13:00:41Z","title":"Noise-induced synchronization of Hegselmann-Krause dynamics in full space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01432","kind":"arxiv","version":2},"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":"sha256:2ea881489c90f2790d9d7e65e1e7ef1b20fe37cbcce2810f45d2e2bb124fbac8","target":"record","created_at":"2026-05-17T23:52:44Z","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":"4d937f2299473e3f98655e435af42f38500d68713f681e16fa359ff7657d2ffe","cross_cats_sorted":["cs.MA","cs.SI","math.OC","nlin.CG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-11-04T13:00:41Z","title_canon_sha256":"056a0a186f4221ffcf991a9dc36ec22b7db4537934a6908e7c48738c5bff3ccd"},"schema_version":"1.0","source":{"id":"1711.01432","kind":"arxiv","version":2}},"canonical_sha256":"43224bbdc9dfef68b227acc42fe6696a5cfdfffc0a782d89616c7cdffd3ae8d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43224bbdc9dfef68b227acc42fe6696a5cfdfffc0a782d89616c7cdffd3ae8d1","first_computed_at":"2026-05-17T23:52:44.437002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:44.437002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TaunlFYqJIDLJXDCFntE26pUEMm3AgcJ1FbzT0JZYQ9T7PrFEERQmqWRCLGwaNBV8hyY7FH612Yd8SpmmIE1Cw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:44.437572Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01432","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ea881489c90f2790d9d7e65e1e7ef1b20fe37cbcce2810f45d2e2bb124fbac8","sha256:e5fa0dda963606c5107dfa0f9fb56032be0979772c19d4f4e0324aa8a3cc0314"],"state_sha256":"6697f7630efa95347707c40ee650bd8bb49c319c102ca44c55a839919932c5e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IY9572Akk1GfuPPm1wEqaMM9xLjm+liwyrgpjT1vsrT+Xqg4OnZswxWWTQlyJlaubDMqtYdEnvUedx/UC3myAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:44:14.048360Z","bundle_sha256":"2af125e562b90ce97dbdf29b9f99c17f98600d713938410c1329e2f93aaf87b4"}}