{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:72OKBFMYOILXLRY5CR5W2OYSFL","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":"59645ef168ce6b23e8efa7fe16ef37245726d602c44e7d704eac4461e725d303","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-06-24T17:15:11Z","title_canon_sha256":"b4e78d6894099173f7a547b314c93b4b1d7490af52b795a79e19354d4cf460a7"},"schema_version":"1.0","source":{"id":"1406.6315","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.6315","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"arxiv_version","alias_value":"1406.6315v2","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.6315","created_at":"2026-05-18T02:43:10Z"},{"alias_kind":"pith_short_12","alias_value":"72OKBFMYOILX","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"72OKBFMYOILXLRY5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"72OKBFMY","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:2fef5e432b1189d7495b56c1a76f2bcea7968ddcdfb835557e31be7bf78768a1","target":"graph","created_at":"2026-05-18T02:43:10Z","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":"We consider a problem of grouping multiple graphs into several clusters using singular value thesholding and non-negative factorization. We derive a model selection information criterion to estimate the number of clusters. We demonstrate our approach using \"Swimmer data set\" as well as simulated data set, and compare its performance with two standard clustering algorithms.","authors_text":"Care E. Priebe, I-Jeng Wang, Michael Rosen, Nam H. Lee, Youngser Park","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-06-24T17:15:11Z","title":"Automatic Dimension Selection for a Non-negative Factorization Approach to Clustering Multiple Random Graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.6315","kind":"arxiv","version":2},"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:d05646a33b4ca9322fb67ee955dd1c04cda24a1524eed9fc2bf7d45a336389ca","target":"record","created_at":"2026-05-18T02:43:10Z","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":"59645ef168ce6b23e8efa7fe16ef37245726d602c44e7d704eac4461e725d303","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-06-24T17:15:11Z","title_canon_sha256":"b4e78d6894099173f7a547b314c93b4b1d7490af52b795a79e19354d4cf460a7"},"schema_version":"1.0","source":{"id":"1406.6315","kind":"arxiv","version":2}},"canonical_sha256":"fe9ca09598721775c71d147b6d3b122ae8275a2ecc05896002f7880ac2755b3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe9ca09598721775c71d147b6d3b122ae8275a2ecc05896002f7880ac2755b3f","first_computed_at":"2026-05-18T02:43:10.688457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:10.688457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9JMq/wgD+P6qTj+BuoUHlTBHvQsmQtwX7D7d9hG8BlrYuZrOYbSBet/LG+sEqSbTpThrPnXEkH+8kUNe9pctBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:10.688857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.6315","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d05646a33b4ca9322fb67ee955dd1c04cda24a1524eed9fc2bf7d45a336389ca","sha256:2fef5e432b1189d7495b56c1a76f2bcea7968ddcdfb835557e31be7bf78768a1"],"state_sha256":"36a12a76984fed9a8939acd8295c282e3814d3b2fe592ded9693073b498f3ee4"}