{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QOSRZPTKTRELDULRGUBLMPSQRJ","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":"fc72f0a059585f348e5eca53491d4103a15f0d25ba81e8e274bacb912c77343b","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-02-14T22:13:47Z","title_canon_sha256":"2989a99467a6e64317d7d3572618665011b01754695b88196cb33c4cd6ddcaf5"},"schema_version":"1.0","source":{"id":"1102.2915","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2915","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2915v1","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2915","created_at":"2026-05-18T04:28:38Z"},{"alias_kind":"pith_short_12","alias_value":"QOSRZPTKTREL","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QOSRZPTKTRELDULR","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QOSRZPTK","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:d1d2af1126e6ac34b882e2f7229e317c0fd648a5ac48c2bf3741fd5f0fa32f86","target":"graph","created_at":"2026-05-18T04:28:38Z","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":"Inferring cluster structure in microarray datasets is a fundamental task for the -omic sciences. A fundamental question in Statistics, Data Analysis and Classification, is the prediction of the number of clusters in a dataset, usually established via internal validation measures. Despite the wealth of internal measures available in the literature, new ones have been recently proposed, some of them specifically for microarray data. In this dissertation, a study of internal validation measures is given, paying particular attention to the stability based ones. Indeed, this class of measures is pa","authors_text":"Filippo Utro","cross_cats":["q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-02-14T22:13:47Z","title":"Algorithms for Internal Validation Clustering Measures in the Post Genomic Era"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2915","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:f323a67c9878d174347e613d33a9d7fd05f2a6ce619767be37482cfd55429023","target":"record","created_at":"2026-05-18T04:28:38Z","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":"fc72f0a059585f348e5eca53491d4103a15f0d25ba81e8e274bacb912c77343b","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2011-02-14T22:13:47Z","title_canon_sha256":"2989a99467a6e64317d7d3572618665011b01754695b88196cb33c4cd6ddcaf5"},"schema_version":"1.0","source":{"id":"1102.2915","kind":"arxiv","version":1}},"canonical_sha256":"83a51cbe6a9c48b1d1713502b63e508a69f74c8bafa987d40829cab45ff35997","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83a51cbe6a9c48b1d1713502b63e508a69f74c8bafa987d40829cab45ff35997","first_computed_at":"2026-05-18T04:28:38.731457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:38.731457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z4imyFo6ZpMOYDcGy4A5In9nvcPFSQDyZyyoY0Cz29mrXZOVzDid9wsjROHYJKoczlIkm6GRb3Z0V0NyVJz5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:38.731986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2915","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f323a67c9878d174347e613d33a9d7fd05f2a6ce619767be37482cfd55429023","sha256:d1d2af1126e6ac34b882e2f7229e317c0fd648a5ac48c2bf3741fd5f0fa32f86"],"state_sha256":"b0d10bfcd10030ce4ad1ee0de3538b4f164bc7b8765857b4ea6806ba3959a24a"}