{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:ZJMQWI4XIKICPXO3GXXIAC2PP7","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":"6a12f990f8cc937db3c1b6f2f834589aef3118728877568b19b09731d61924da","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-06-25T15:44:05Z","title_canon_sha256":"8f3be73477e2dc101a6974046115279f15c11762655a41645bc5824f0e6f44c9"},"schema_version":"1.0","source":{"id":"2006.14493","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.14493","created_at":"2026-07-05T02:01:30Z"},{"alias_kind":"arxiv_version","alias_value":"2006.14493v3","created_at":"2026-07-05T02:01:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.14493","created_at":"2026-07-05T02:01:30Z"},{"alias_kind":"pith_short_12","alias_value":"ZJMQWI4XIKIC","created_at":"2026-07-05T02:01:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZJMQWI4XIKICPXO3","created_at":"2026-07-05T02:01:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZJMQWI4X","created_at":"2026-07-05T02:01:30Z"}],"graph_snapshots":[{"event_id":"sha256:d797b79c42431cae3739f8fee4ed1d44e049a0a7b6921a61494744aec42489e4","target":"graph","created_at":"2026-07-05T02:01:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2006.14493/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a principled methodology to infer assortative communities in networks based on a nonparametric Bayesian formulation of the planted partition model. We show that this approach succeeds in finding statistically significant assortative modules in networks, unlike alternatives such as modularity maximization, which systematically overfits both in artificial as well as in empirical examples. In addition, we show that our method is not subject to a resolution limit, and can uncover an arbitrarily large number of communities, as long as there is statistical evidence for them. Our formulati","authors_text":"Lizhi Zhang, Tiago P. Peixoto","cross_cats":["cond-mat.dis-nn","cs.SI","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-06-25T15:44:05Z","title":"Statistical inference of assortative community structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.14493","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:d2c4c307b8688e2c0f03b09ff98e13205f8ab202cc106ad172f8012113b446f1","target":"record","created_at":"2026-07-05T02:01:30Z","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":"6a12f990f8cc937db3c1b6f2f834589aef3118728877568b19b09731d61924da","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-06-25T15:44:05Z","title_canon_sha256":"8f3be73477e2dc101a6974046115279f15c11762655a41645bc5824f0e6f44c9"},"schema_version":"1.0","source":{"id":"2006.14493","kind":"arxiv","version":3}},"canonical_sha256":"ca590b2397429027dddb35ee800b4f7ffc04e88dfd3988a183cef7edaf5545f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca590b2397429027dddb35ee800b4f7ffc04e88dfd3988a183cef7edaf5545f9","first_computed_at":"2026-07-05T02:01:30.590843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:01:30.590843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r00kE3ov1Hd1NiPgcmXZyxClyzql9TCtUMvBD0FHn+Aw6knpT+HFVBx7tg7y619loYk1X+opYnRnbM8+ibRxCw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:01:30.591307Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.14493","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2c4c307b8688e2c0f03b09ff98e13205f8ab202cc106ad172f8012113b446f1","sha256:d797b79c42431cae3739f8fee4ed1d44e049a0a7b6921a61494744aec42489e4"],"state_sha256":"f7b521ee1273062e880151c1125ca383fd0db7204ca6517b2893a9d35e816d16"}