{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GWYTPRT2SFRL5VQ5VGWQG525NA","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":"f34dff7b5bb879acde39d4d30e57e820bc2679cbc0eda6d5c7617c77a6acfe57","cross_cats_sorted":["cs.IR","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2013-09-14T09:54:59Z","title_canon_sha256":"b3e2b515385f60cb7fec1c21d6dd51fffd7487cf75602b4d57116e58ffc46efb"},"schema_version":"1.0","source":{"id":"1310.7441","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7441","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7441v4","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7441","created_at":"2026-05-18T02:26:59Z"},{"alias_kind":"pith_short_12","alias_value":"GWYTPRT2SFRL","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"GWYTPRT2SFRL5VQ5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"GWYTPRT2","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:7eb214e5293bf79894dc69637b62e038a8db57bf723ff667bcc208335a41f033","target":"graph","created_at":"2026-05-18T02:26:59Z","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 this paper, we design a hierarchical clustering algorithm for high-resolution hyperspectral images. At the core of the algorithm, a new rank-two nonnegative matrix factorizations (NMF) algorithm is used to split the clusters, which is motivated by convex geometry concepts. The method starts with a single cluster containing all pixels, and, at each step, (i) selects a cluster in such a way that the error at the next step is minimized, and (ii) splits the selected cluster into two disjoint clusters using rank-two NMF in such a way that the clusters are well balanced and stable. The proposed m","authors_text":"Da Kuang, Haesun Park, Nicolas Gillis","cross_cats":["cs.IR","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2013-09-14T09:54:59Z","title":"Hierarchical Clustering of Hyperspectral Images using Rank-Two Nonnegative Matrix Factorization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7441","kind":"arxiv","version":4},"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":"sha256:168cd7cf51aaa91006574dec1340c458ea9811ab073d1fba2d5f16ee6805ec08","target":"record","created_at":"2026-05-18T02:26:59Z","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":"f34dff7b5bb879acde39d4d30e57e820bc2679cbc0eda6d5c7617c77a6acfe57","cross_cats_sorted":["cs.IR","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2013-09-14T09:54:59Z","title_canon_sha256":"b3e2b515385f60cb7fec1c21d6dd51fffd7487cf75602b4d57116e58ffc46efb"},"schema_version":"1.0","source":{"id":"1310.7441","kind":"arxiv","version":4}},"canonical_sha256":"35b137c67a9162bed61da9ad03775d680e986b0f845b98723e8448ba2a46b4eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35b137c67a9162bed61da9ad03775d680e986b0f845b98723e8448ba2a46b4eb","first_computed_at":"2026-05-18T02:26:59.016670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:59.016670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+oGw+Rqd6Dw2mR3ktMRKXmWfWwuFwrl5yB8r+qV7QP3wjLUozSFqVbsBm/zT+6CFPE1Nm1nzTNrLx4fLzTObAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:59.017262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7441","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:168cd7cf51aaa91006574dec1340c458ea9811ab073d1fba2d5f16ee6805ec08","sha256:7eb214e5293bf79894dc69637b62e038a8db57bf723ff667bcc208335a41f033"],"state_sha256":"86ecb4e73e893bc410637ff10065323c608955830e04e0202a493b184e41d764"}