{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2L7AJU3PEFNIPDKI3BGW2YL7T4","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":"7cc31042165d26c37bdc61db9c2b750291a670b648a6b992f2abcdb84a6d416e","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-12-05T10:27:19Z","title_canon_sha256":"f33e97d4877f64582f959e7c5a80e82ac7483b7a42003729ed5a7874b8f2df55"},"schema_version":"1.0","source":{"id":"1712.01561","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.01561","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"1712.01561v3","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.01561","created_at":"2026-05-17T23:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"2L7AJU3PEFNI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2L7AJU3PEFNIPDKI","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2L7AJU3P","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:40541ac495c61e096a232322212ce0adab0564a5413c6cfb5d0590ae4685e79f","target":"graph","created_at":"2026-05-17T23:48:53Z","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":"Based on an expert systems approach, the issue of community detection can be conceptualized as a clustering model for networks. Building upon this further, community structure can be measured through a clustering coefficient, which is generated from the number of existing triangles around the nodes over the number of triangles that can be hypothetically constructed. This paper provides a new definition of the clustering coefficient for weighted networks under a generalized definition of triangles. Specifically, a novel concept of triangles is introduced, based on the assumption that, should th","authors_text":"Antonio Iovanella, Giovanna Ferraro, Roy Cerqueti","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-12-05T10:27:19Z","title":"A new measure for community structures through indirect social connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.01561","kind":"arxiv","version":3},"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":"sha256:157523331c288cf94bf87474d81d8929428abcb56911981d3cbefa4207a86fac","target":"record","created_at":"2026-05-17T23:48:53Z","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":"7cc31042165d26c37bdc61db9c2b750291a670b648a6b992f2abcdb84a6d416e","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-12-05T10:27:19Z","title_canon_sha256":"f33e97d4877f64582f959e7c5a80e82ac7483b7a42003729ed5a7874b8f2df55"},"schema_version":"1.0","source":{"id":"1712.01561","kind":"arxiv","version":3}},"canonical_sha256":"d2fe04d36f215a878d48d84d6d617f9f3b93f57e56b909c17052e09d55d10031","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2fe04d36f215a878d48d84d6d617f9f3b93f57e56b909c17052e09d55d10031","first_computed_at":"2026-05-17T23:48:53.048078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:53.048078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4EZYn3mOc6nvJ0kqroXbJcfD51Kb8OWqyapeprZp6omT1epYzTHOQxwu+8/r2jxtnB1K6xOwvRVbMu8koysTCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:53.048510Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.01561","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:157523331c288cf94bf87474d81d8929428abcb56911981d3cbefa4207a86fac","sha256:40541ac495c61e096a232322212ce0adab0564a5413c6cfb5d0590ae4685e79f"],"state_sha256":"260db6504735dedcf727a3e437fc410d7e2e66b9eb4d8fff047a844013015c7d"}