{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YMP4JWP4XLXC4UPCNSQJHGRG2M","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":"513732f3b28ef72d1ef66c56ea9e288ce6e780eab5a624087816212785d78400","cross_cats_sorted":["cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-26T06:43:56Z","title_canon_sha256":"3589c1a3814052751985975a1817ec13dc2437c967b394d26905788c284a77d3"},"schema_version":"1.0","source":{"id":"1103.5110","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5110","created_at":"2026-05-18T04:15:16Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5110v2","created_at":"2026-05-18T04:15:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5110","created_at":"2026-05-18T04:15:16Z"},{"alias_kind":"pith_short_12","alias_value":"YMP4JWP4XLXC","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YMP4JWP4XLXC4UPC","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YMP4JWP4","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:e9752a59342cb14e7f5c1de00e1844cbb9a3e7a1459433f3733881194225bad6","target":"graph","created_at":"2026-05-18T04:15:16Z","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":"Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the observations of real social networks, we introduced a link-creating/deleting strategy according to the local dynamics in the model. Thus the coevolution of dynamics and topology naturally determines the network properties. It is found that for a small coupling strength, the networked system cannot reach any synchronization and the network topology is homogeneous. I","authors_text":"Choy-Heng Lai, Menghui Li, Shuguang Guan","cross_cats":["cs.SI","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-26T06:43:56Z","title":"Formation of Modularity in a Model of Evolving Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5110","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:a2e2829ddf39d20865a5ee97d679320cef32f5fbdf7195092a8775c27b4f0d97","target":"record","created_at":"2026-05-18T04:15:16Z","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":"513732f3b28ef72d1ef66c56ea9e288ce6e780eab5a624087816212785d78400","cross_cats_sorted":["cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-26T06:43:56Z","title_canon_sha256":"3589c1a3814052751985975a1817ec13dc2437c967b394d26905788c284a77d3"},"schema_version":"1.0","source":{"id":"1103.5110","kind":"arxiv","version":2}},"canonical_sha256":"c31fc4d9fcbaee2e51e26ca0939a26d3379a78807a40535ffa584c1140a92955","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c31fc4d9fcbaee2e51e26ca0939a26d3379a78807a40535ffa584c1140a92955","first_computed_at":"2026-05-18T04:15:16.327189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:16.327189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ie3eEqlP/KYrnbYr1z/1ji/X+ITcH/s9qCH3mFccU/4qfKAu+7+nTtsyAvS7buzCdqbmwKrBF//41i00ZXm3CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:16.327763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5110","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2e2829ddf39d20865a5ee97d679320cef32f5fbdf7195092a8775c27b4f0d97","sha256:e9752a59342cb14e7f5c1de00e1844cbb9a3e7a1459433f3733881194225bad6"],"state_sha256":"8cbd97877a36ccf91e6d83d56fc922e96aac271efcf191bfd93eba8bf827108e"}