{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZTPCIPZYGEBN43TWLFVZ6H2DHM","short_pith_number":"pith:ZTPCIPZY","canonical_record":{"source":{"id":"2409.07797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-09-12T06:57:00Z","cross_cats_sorted":[],"title_canon_sha256":"109939223a6c6e334a45b8132023890fd8bc071fb214d41d43a67ae5d4301ab8","abstract_canon_sha256":"f0d72f4d51c07f560256398d9587195b0a4e2effdea7a71b862c6c7449a8635f"},"schema_version":"1.0"},"canonical_sha256":"ccde243f383102de6e76596b9f1f433b211905a0ec895a86857730125bde633d","source":{"kind":"arxiv","id":"2409.07797","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.07797","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"arxiv_version","alias_value":"2409.07797v1","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.07797","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"pith_short_12","alias_value":"ZTPCIPZYGEBN","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"pith_short_16","alias_value":"ZTPCIPZYGEBN43TW","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"pith_short_8","alias_value":"ZTPCIPZY","created_at":"2026-07-05T09:06:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZTPCIPZYGEBN43TWLFVZ6H2DHM","target":"record","payload":{"canonical_record":{"source":{"id":"2409.07797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-09-12T06:57:00Z","cross_cats_sorted":[],"title_canon_sha256":"109939223a6c6e334a45b8132023890fd8bc071fb214d41d43a67ae5d4301ab8","abstract_canon_sha256":"f0d72f4d51c07f560256398d9587195b0a4e2effdea7a71b862c6c7449a8635f"},"schema_version":"1.0"},"canonical_sha256":"ccde243f383102de6e76596b9f1f433b211905a0ec895a86857730125bde633d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:06:15.195864Z","signature_b64":"B/ti0qfWRLRLczvvdNxhdbMZS1oJTJiCkedv66i/Sr+8aYOSemvmSIPomL7uQsKYWoyZg2Bp+pn/QRMiaLimDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ccde243f383102de6e76596b9f1f433b211905a0ec895a86857730125bde633d","last_reissued_at":"2026-07-05T09:06:15.195528Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:06:15.195528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.07797","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:06:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OyVlasgxUfSLaoeIlwiMsEryTfS0aO1gFNOJCmRr2YPxT75FOVIqtVApQz9rnPh95aBx7OlBnQXgiolYr2dCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:03:01.653950Z"},"content_sha256":"fd69bd8628fbed1f7756d61521d007101317f2cd526e99f81a21fc5b9bd5fc25","schema_version":"1.0","event_id":"sha256:fd69bd8628fbed1f7756d61521d007101317f2cd526e99f81a21fc5b9bd5fc25"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZTPCIPZYGEBN43TWLFVZ6H2DHM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quaternion Nuclear Norm minus Frobenius Norm Minimization for color image reconstruction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Guoqing Chen, Michael Kwok-Po Ng, Qiyu Jin, Tieyong Zeng, Yu Guo","submitted_at":"2024-09-12T06:57:00Z","abstract_excerpt":"Color image restoration methods typically represent images as vectors in Euclidean space or combinations of three monochrome channels. However, they often overlook the correlation between these channels, leading to color distortion and artifacts in the reconstructed image. To address this, we present Quaternion Nuclear Norm Minus Frobenius Norm Minimization (QNMF), a novel approach for color image reconstruction. QNMF utilizes quaternion algebra to capture the relationships among RGB channels comprehensively. By employing a regularization technique that involves nuclear norm minus Frobenius no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.07797","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.07797/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:06:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GsKn3+6pXvTz8Jy6ufue7VnyKQ8u4Mhs+8gwjR/SO46RIm+e3YEmTJzTkVf+waHEyF9qJ/JsgnNzcdGuQp4sAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:03:01.654820Z"},"content_sha256":"ca4854caaef1bc08c79ba82b51fc7b28d707fe7b8094ba684dc4653eb0f9a488","schema_version":"1.0","event_id":"sha256:ca4854caaef1bc08c79ba82b51fc7b28d707fe7b8094ba684dc4653eb0f9a488"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM/bundle.json","state_url":"https://pith.science/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T15:03:01Z","links":{"resolver":"https://pith.science/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM","bundle":"https://pith.science/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM/bundle.json","state":"https://pith.science/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZTPCIPZYGEBN43TWLFVZ6H2DHM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZTPCIPZYGEBN43TWLFVZ6H2DHM","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":"f0d72f4d51c07f560256398d9587195b0a4e2effdea7a71b862c6c7449a8635f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-09-12T06:57:00Z","title_canon_sha256":"109939223a6c6e334a45b8132023890fd8bc071fb214d41d43a67ae5d4301ab8"},"schema_version":"1.0","source":{"id":"2409.07797","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.07797","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"arxiv_version","alias_value":"2409.07797v1","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.07797","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"pith_short_12","alias_value":"ZTPCIPZYGEBN","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"pith_short_16","alias_value":"ZTPCIPZYGEBN43TW","created_at":"2026-07-05T09:06:15Z"},{"alias_kind":"pith_short_8","alias_value":"ZTPCIPZY","created_at":"2026-07-05T09:06:15Z"}],"graph_snapshots":[{"event_id":"sha256:ca4854caaef1bc08c79ba82b51fc7b28d707fe7b8094ba684dc4653eb0f9a488","target":"graph","created_at":"2026-07-05T09:06:15Z","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/2409.07797/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Color image restoration methods typically represent images as vectors in Euclidean space or combinations of three monochrome channels. However, they often overlook the correlation between these channels, leading to color distortion and artifacts in the reconstructed image. To address this, we present Quaternion Nuclear Norm Minus Frobenius Norm Minimization (QNMF), a novel approach for color image reconstruction. QNMF utilizes quaternion algebra to capture the relationships among RGB channels comprehensively. By employing a regularization technique that involves nuclear norm minus Frobenius no","authors_text":"Guoqing Chen, Michael Kwok-Po Ng, Qiyu Jin, Tieyong Zeng, Yu Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-09-12T06:57:00Z","title":"Quaternion Nuclear Norm minus Frobenius Norm Minimization for color image reconstruction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.07797","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:fd69bd8628fbed1f7756d61521d007101317f2cd526e99f81a21fc5b9bd5fc25","target":"record","created_at":"2026-07-05T09:06:15Z","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":"f0d72f4d51c07f560256398d9587195b0a4e2effdea7a71b862c6c7449a8635f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2024-09-12T06:57:00Z","title_canon_sha256":"109939223a6c6e334a45b8132023890fd8bc071fb214d41d43a67ae5d4301ab8"},"schema_version":"1.0","source":{"id":"2409.07797","kind":"arxiv","version":1}},"canonical_sha256":"ccde243f383102de6e76596b9f1f433b211905a0ec895a86857730125bde633d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccde243f383102de6e76596b9f1f433b211905a0ec895a86857730125bde633d","first_computed_at":"2026-07-05T09:06:15.195528Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:06:15.195528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B/ti0qfWRLRLczvvdNxhdbMZS1oJTJiCkedv66i/Sr+8aYOSemvmSIPomL7uQsKYWoyZg2Bp+pn/QRMiaLimDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:06:15.195864Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.07797","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd69bd8628fbed1f7756d61521d007101317f2cd526e99f81a21fc5b9bd5fc25","sha256:ca4854caaef1bc08c79ba82b51fc7b28d707fe7b8094ba684dc4653eb0f9a488"],"state_sha256":"1874911693de9da5683aa4ec7598c063178f591dcdf3c56866cdbd48d7c1cd42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atZftpcoZjc6lKxEY2g3JtENDw05jmqYI51zU+UrlZ9ZqHxyOHZVCpdIUnEpk4JXO1UyjnlPWF3WILqDsdebBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T15:03:01.661004Z","bundle_sha256":"9f90c7baa671206294a0ae559502719964db8c351bd7ded845792716b42f1054"}}