{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XWUNF62XIZKLR5LJZN3UBQ44HA","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":"0042addfdd166ea6535b6ecc0cf4c460d185e0507af2c729433f739479a5f328","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-11-04T01:24:07Z","title_canon_sha256":"2f94645f839391b49af729a5ed63c6506edf633796dd6252fead167e5982d176"},"schema_version":"1.0","source":{"id":"1011.1043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.1043","created_at":"2026-05-18T04:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"1011.1043v1","created_at":"2026-05-18T04:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.1043","created_at":"2026-05-18T04:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"XWUNF62XIZKL","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XWUNF62XIZKLR5LJ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XWUNF62X","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:913ae67ae3921e580ef53d8cbd7576ca730ba01af6339f08beccbb5a4662169e","target":"graph","created_at":"2026-05-18T04:10:58Z","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 social tagging systems, also known as folksonomies, users collaboratively manage tags to annotate resources. Naturally, social tagging systems can be modeled as a tripartite hypergraph, where there are three different types of nodes, namely users, resources and tags, and each hyperedge has three end nodes, connecting a user, a resource and a tag that the user employs to annotate the resource. Then, how can we automatically detect user, resource and tag communities from the tripartite hypergraph? In this paper, by turning the problem into a problem of finding an efficient compression of the ","authors_text":"Tsuyoshi Murata, Xin Liu","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-11-04T01:24:07Z","title":"Detecting Communities in Tripartite Hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.1043","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:d7c81ff5fd615d32d04a72e7052a52cf41e9a7c2f8c136972293a5d3be4095c5","target":"record","created_at":"2026-05-18T04:10:58Z","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":"0042addfdd166ea6535b6ecc0cf4c460d185e0507af2c729433f739479a5f328","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2010-11-04T01:24:07Z","title_canon_sha256":"2f94645f839391b49af729a5ed63c6506edf633796dd6252fead167e5982d176"},"schema_version":"1.0","source":{"id":"1011.1043","kind":"arxiv","version":1}},"canonical_sha256":"bda8d2fb574654b8f569cb7740c39c382fbde3c0d1b4db50b1de3c72eef6bb75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bda8d2fb574654b8f569cb7740c39c382fbde3c0d1b4db50b1de3c72eef6bb75","first_computed_at":"2026-05-18T04:10:58.783360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:58.783360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DnVgAEoP/UJ79eY/amP2+QfABwInjKI8pX/AmmLLUHOtOosKnZCINxpoevIL5cywVS2qxu1kOsnNKg9MabmuBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:58.783951Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.1043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d7c81ff5fd615d32d04a72e7052a52cf41e9a7c2f8c136972293a5d3be4095c5","sha256:913ae67ae3921e580ef53d8cbd7576ca730ba01af6339f08beccbb5a4662169e"],"state_sha256":"d602386b4200733b996ad65eaa63898be5a1f1c99c5416c25ac9c79c5672b6c8"}