{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MCMY32644POBTHZZFKY3TCSCVQ","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":"ecd913b94816adccf1258794f9969f61616007b4b80fcfb24261dc2ad7490830","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-06-21T11:40:55Z","title_canon_sha256":"eca620cc902732419a7c92b46f655df9f1cff8a28219a0de0def8887e92dcfdd"},"schema_version":"1.0","source":{"id":"1906.09082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09082","created_at":"2026-05-17T23:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09082v1","created_at":"2026-05-17T23:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09082","created_at":"2026-05-17T23:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"MCMY32644POB","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MCMY32644POBTHZZ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MCMY3264","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:454e33e5108017673eb309a1c2a619f8ecef628cf40d6ce256b377e4874d0f49","target":"graph","created_at":"2026-05-17T23:42:44Z","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":"Embedding a network in hyperbolic space can reveal interesting features for the network structure, especially in terms of self-similar characteristics. The hidden metric space, which can be thought of as the underlying structure of the network, is able to preserve some interesting features generally observed in real-world networks such as heterogeneity in the degree distribution, high clustering coefficient, and small-world effect. Moreover, the angular distribution of the nodes in the hyperbolic plane reveals a community structure of the embedded network. It is worth noting that, while a larg","authors_text":"Ana Vrani\\'c, Francesca V. Vianello, Furkan Gursoy, Mari\\'an Bogu\\~n\\'a, Matteo Bruno, Matteo Serafino, Sandro Ferreira Sousa","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-06-21T11:40:55Z","title":"Community Detection in the Hyperbolic Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09082","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":"sha256:2d64f397c1db3188cc05e8eee31f728724fd08330ac0c144c3db06d3e082413c","target":"record","created_at":"2026-05-17T23:42:44Z","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":"ecd913b94816adccf1258794f9969f61616007b4b80fcfb24261dc2ad7490830","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-06-21T11:40:55Z","title_canon_sha256":"eca620cc902732419a7c92b46f655df9f1cff8a28219a0de0def8887e92dcfdd"},"schema_version":"1.0","source":{"id":"1906.09082","kind":"arxiv","version":1}},"canonical_sha256":"60998debdce3dc199f392ab1b98a42ac1331f0f9d9a7367d5acbf55c5dcc0073","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60998debdce3dc199f392ab1b98a42ac1331f0f9d9a7367d5acbf55c5dcc0073","first_computed_at":"2026-05-17T23:42:44.620873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:44.620873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p/mPYGSU071rt1XiwMa6jHovjGIBce8X+TOdkennvc+azc0HEsdayVI2jfU00ZvsttLV4K2TDjn82CtT6Ao0Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:44.621370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d64f397c1db3188cc05e8eee31f728724fd08330ac0c144c3db06d3e082413c","sha256:454e33e5108017673eb309a1c2a619f8ecef628cf40d6ce256b377e4874d0f49"],"state_sha256":"d250a350558dfe5772a3aaa9efe023c6489e1916b93bc768fff6d2360c27882b"}