{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3MNZQKBAEFNSUL4REUPOPMTSDJ","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":"5a52774bbf47ccd3f02bd61d58f4a46e7564aa1288c380d57a1917ec1522b9e2","cross_cats_sorted":["cs.CV","cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-02T03:54:56Z","title_canon_sha256":"4951e5e90fcf40f25ced4f95f0856ce441af5b0fd4a2e873d5d738496ba366ae"},"schema_version":"1.0","source":{"id":"2101.00364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.00364","created_at":"2026-07-05T02:04:17Z"},{"alias_kind":"arxiv_version","alias_value":"2101.00364v1","created_at":"2026-07-05T02:04:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.00364","created_at":"2026-07-05T02:04:17Z"},{"alias_kind":"pith_short_12","alias_value":"3MNZQKBAEFNS","created_at":"2026-07-05T02:04:17Z"},{"alias_kind":"pith_short_16","alias_value":"3MNZQKBAEFNSUL4R","created_at":"2026-07-05T02:04:17Z"},{"alias_kind":"pith_short_8","alias_value":"3MNZQKBA","created_at":"2026-07-05T02:04:17Z"}],"graph_snapshots":[{"event_id":"sha256:a4fc70c03a2ab680c3a0200322bbd6381ce3e263e50a8caacfc07a6240973c3b","target":"graph","created_at":"2026-07-05T02:04:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.00364/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Higher-order singular value decomposition (HOSVD) is one of the most efficient tensor decomposition techniques. It has the salient ability to represent high_dimensional data and extract features. In more recent years, the quaternion has proven to be a very suitable tool for color pixel representation as it can well preserve cross-channel correlation of color channels. Motivated by the advantages of the HOSVD and the quaternion tool, in this paper, we generalize the HOSVD to the quaternion domain and define quaternion-based HOSVD (QHOSVD). Due to the non-commutability of quaternion multiplicati","authors_text":"Jifei Miao, Kit Ian Kou","cross_cats":["cs.CV","cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-02T03:54:56Z","title":"Quaternion higher-order singular value decomposition and its applications in color image processing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.00364","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":"sha256:1ab4c50296cce3bfb0986601581bb56e76b6fd5c2e3d1df841a9c6b41c2c7a34","target":"record","created_at":"2026-07-05T02:04:17Z","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":"5a52774bbf47ccd3f02bd61d58f4a46e7564aa1288c380d57a1917ec1522b9e2","cross_cats_sorted":["cs.CV","cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-02T03:54:56Z","title_canon_sha256":"4951e5e90fcf40f25ced4f95f0856ce441af5b0fd4a2e873d5d738496ba366ae"},"schema_version":"1.0","source":{"id":"2101.00364","kind":"arxiv","version":1}},"canonical_sha256":"db1b982820215b2a2f91251ee7b2721a64cd38cc80def99ea29a9bfaa7c314cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db1b982820215b2a2f91251ee7b2721a64cd38cc80def99ea29a9bfaa7c314cd","first_computed_at":"2026-07-05T02:04:17.728686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:04:17.728686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9jRnXhKUE9uHMkaLM/6TcKykMoei8/5kMKQz8lbSGZMByEKDccFcS0pCIbSlz9pKAzDAi/o/4wHoZezqd+D2AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:04:17.729135Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.00364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ab4c50296cce3bfb0986601581bb56e76b6fd5c2e3d1df841a9c6b41c2c7a34","sha256:a4fc70c03a2ab680c3a0200322bbd6381ce3e263e50a8caacfc07a6240973c3b"],"state_sha256":"c4240ba9c74b4c45b3fc9614ce9fc2319e75514e24c235775f4b1ac81d029d50"}