{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4QLGW4ZIN3GCO63TAHJBWQFE5K","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":"0a6e824cbd7e7024b0f96b788ec47e2887e888297692b2f74b14edf5d8a7b816","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-06T01:32:45Z","title_canon_sha256":"15d012e55d3f1e00e55597276bf1af0b234fe402ce6cf60e5e86660741adbb9f"},"schema_version":"1.0","source":{"id":"1111.1365","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1365","created_at":"2026-05-18T02:20:00Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1365v2","created_at":"2026-05-18T02:20:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1365","created_at":"2026-05-18T02:20:00Z"},{"alias_kind":"pith_short_12","alias_value":"4QLGW4ZIN3GC","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4QLGW4ZIN3GCO63T","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4QLGW4ZI","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:c7c990a9217bd34687f4c7bcf91f7364985d2516939e2a9b0606512223acf14c","target":"graph","created_at":"2026-05-18T02:20:00Z","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 report, we introduce the concept of co-community structure in time-varying networks. We propose a novel optimization algorithm to rapidly detect co-community structure in these networks. Both theoretical and numerical results show that the proposed method not only can resolve detailed co-communities, but also can effectively identify the dynamical phenomena in these networks.","authors_text":"Junfei Zhao, Shihua Zhang, Xiang-Sun Zhang","cross_cats":["cond-mat.stat-mech","cs.SI","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-06T01:32:45Z","title":"Co-community Structure in Time-varying Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1365","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":"sha256:46caea40cda1bcf1c417091f0d09f724d8df2eb464b6f5e9f36c73946a0cec5b","target":"record","created_at":"2026-05-18T02:20:00Z","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":"0a6e824cbd7e7024b0f96b788ec47e2887e888297692b2f74b14edf5d8a7b816","cross_cats_sorted":["cond-mat.stat-mech","cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-11-06T01:32:45Z","title_canon_sha256":"15d012e55d3f1e00e55597276bf1af0b234fe402ce6cf60e5e86660741adbb9f"},"schema_version":"1.0","source":{"id":"1111.1365","kind":"arxiv","version":2}},"canonical_sha256":"e4166b73286ecc277b7301d21b40a4ea8ec2fe1a34f38572d9f6ba9dbd61e0a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4166b73286ecc277b7301d21b40a4ea8ec2fe1a34f38572d9f6ba9dbd61e0a5","first_computed_at":"2026-05-18T02:20:00.676309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:00.676309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PFIMuCdvLpEtUlEF33kw85fdo3/LKzvzcnlK/GMO5hLbZNW8Pb9m+uMiADceBzRfwhEvd0j1Q2jlOzUSZBXYAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:00.677606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1365","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46caea40cda1bcf1c417091f0d09f724d8df2eb464b6f5e9f36c73946a0cec5b","sha256:c7c990a9217bd34687f4c7bcf91f7364985d2516939e2a9b0606512223acf14c"],"state_sha256":"6e4ad24a21edba19ce973f5164efb0fb419695be74b0b3635cc5abd6a08d1bde"}