{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:W5GZG33WPR6XLOPCNGDLFJX4ZJ","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":"8ebb92547634b38799cb6234e9841ab18f15330ce9b8f8da187b2d0070e1b123","cross_cats_sorted":["cs.DM","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-02-27T22:11:54Z","title_canon_sha256":"ce70143a297d33e26923cd5464c4f1d951b4166ad5b13baf881598f0641894d0"},"schema_version":"1.0","source":{"id":"1702.08557","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08557","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08557v1","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08557","created_at":"2026-05-18T00:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"W5GZG33WPR6X","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"W5GZG33WPR6XLOPC","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"W5GZG33W","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:0e4d9ac2921b3687396430acb2bd8e1a02582a82abba194019eeed0880b43ef7","target":"graph","created_at":"2026-05-18T00:49:48Z","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":"Multimodal clustering is an unsupervised technique for mining interesting patterns in $n$-adic binary relations or $n$-mode networks. Among different types of such generalized patterns one can find biclusters and formal concepts (maximal bicliques) for 2-mode case, triclusters and triconcepts for 3-mode case, closed $n$-sets for $n$-mode case, etc. Object-attribute biclustering (OA-biclustering) for mining large binary datatables (formal contexts or 2-mode networks) arose by the end of the last decade due to intractability of computation problems related to formal concepts; this type of patter","authors_text":"Alexander Semenov, Daria Komissarova, Dmitry I. Ignatov, Dmitry V. Gnatyshak","cross_cats":["cs.DM","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-02-27T22:11:54Z","title":"Multimodal Clustering for Community Detection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08557","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":"sha256:0fd23b5ba3fcf200733a12157112a27a3c8ddfb69ed69b238b64b44448f90f8b","target":"record","created_at":"2026-05-18T00:49:48Z","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":"8ebb92547634b38799cb6234e9841ab18f15330ce9b8f8da187b2d0070e1b123","cross_cats_sorted":["cs.DM","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-02-27T22:11:54Z","title_canon_sha256":"ce70143a297d33e26923cd5464c4f1d951b4166ad5b13baf881598f0641894d0"},"schema_version":"1.0","source":{"id":"1702.08557","kind":"arxiv","version":1}},"canonical_sha256":"b74d936f767c7d75b9e26986b2a6fcca4ecdb0765f531ae837bd33e8624f98bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b74d936f767c7d75b9e26986b2a6fcca4ecdb0765f531ae837bd33e8624f98bc","first_computed_at":"2026-05-18T00:49:48.393596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:48.393596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LHCbTQfC7wAoawQfYutcDgwASbl/I2eqgB9iDdAKGG19ZD12KE/cyxLofyPcIANo9aRR/wP0u2tbhN+fxA/YDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:48.394143Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08557","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fd23b5ba3fcf200733a12157112a27a3c8ddfb69ed69b238b64b44448f90f8b","sha256:0e4d9ac2921b3687396430acb2bd8e1a02582a82abba194019eeed0880b43ef7"],"state_sha256":"658c2b2d8e505cebcf03dc647cd114bf8b86ed7a9112d958f07d764e7b1dc5cc"}