{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:FNNOKOE4AY6ZCBS35A6NPWUR5E","short_pith_number":"pith:FNNOKOE4","canonical_record":{"source":{"id":"2101.02443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-07T09:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"6ee5be3e9f9b668b1c1f0cc0e0554aba63f2e0ee53ad0e6f816fdfb3848e6cc7","abstract_canon_sha256":"472ddf514489c888e5cb18af84a4c25467c5576cc362cd8ed28e4d15354ba183"},"schema_version":"1.0"},"canonical_sha256":"2b5ae5389c063d91065be83cd7da91e924311b4f3875cb6a6610969ea57a08b7","source":{"kind":"arxiv","id":"2101.02443","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.02443","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"arxiv_version","alias_value":"2101.02443v1","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.02443","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"pith_short_12","alias_value":"FNNOKOE4AY6Z","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"pith_short_16","alias_value":"FNNOKOE4AY6ZCBS3","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"pith_short_8","alias_value":"FNNOKOE4","created_at":"2026-07-05T02:05:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:FNNOKOE4AY6ZCBS35A6NPWUR5E","target":"record","payload":{"canonical_record":{"source":{"id":"2101.02443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-07T09:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"6ee5be3e9f9b668b1c1f0cc0e0554aba63f2e0ee53ad0e6f816fdfb3848e6cc7","abstract_canon_sha256":"472ddf514489c888e5cb18af84a4c25467c5576cc362cd8ed28e4d15354ba183"},"schema_version":"1.0"},"canonical_sha256":"2b5ae5389c063d91065be83cd7da91e924311b4f3875cb6a6610969ea57a08b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:05:13.783248Z","signature_b64":"t4Vs/QHJvgYjh9hPLukSeeNUQT7Cndqh7EGs/B8QH37KTtsUuP6zf3Q2QnxsX+pVuWaciYu6HmCDdQoQPuqlDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b5ae5389c063d91065be83cd7da91e924311b4f3875cb6a6610969ea57a08b7","last_reissued_at":"2026-07-05T02:05:13.782912Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:05:13.782912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.02443","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":"2026-07-05T02:05:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xHxT7glsnJzeAZReElg3RXork7kExZugp7a27/hp5/WS50luz+QXCis0tlVi4zHA0Np5L6UoE8L+paSTggPzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:57:12.812254Z"},"content_sha256":"7b7128f6fe892633c822d9dcdb7551e606b6379a9cbaf71597fd86feb23d55f3","schema_version":"1.0","event_id":"sha256:7b7128f6fe892633c822d9dcdb7551e606b6379a9cbaf71597fd86feb23d55f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:FNNOKOE4AY6ZCBS35A6NPWUR5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weighted Truncated Nuclear Norm Regularization for Low-Rank Quaternion Matrix Completion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.IV","authors_text":"Jifei Miao, Kit Ian Kou, Liqiao Yang","submitted_at":"2021-01-07T09:22:29Z","abstract_excerpt":"In recent years, quaternion matrix completion (QMC) based on low-rank regularization has been gradually used in image de-noising and de-blurring.Unlike low-rank matrix completion (LRMC) which handles RGB images by recovering each color channel separately, the QMC models utilize the connection of three channels by processing them as a whole. Most of the existing quaternion-based methods formulate low-rank QMC (LRQMC) as a quaternion nuclear norm (a convex relaxation of the rank) minimization problem.The main limitation of these approaches is that the singular values being minimized simultaneous"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.02443","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/2101.02443/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":"2026-07-05T02:05:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5g3FdI3h0qlACO++ht+FZUMRXurDonZMn6T9lGIgCX7dGFzkJskgEpMzy6tP0idErwICIARptNVn8Tatw3cDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:57:12.813136Z"},"content_sha256":"7ee7738ef9690766fd6d79fb23f14e6ca3cb6db50052906e70235519560f97fb","schema_version":"1.0","event_id":"sha256:7ee7738ef9690766fd6d79fb23f14e6ca3cb6db50052906e70235519560f97fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E/bundle.json","state_url":"https://pith.science/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E/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":"2026-08-07T12:57:12Z","links":{"resolver":"https://pith.science/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E","bundle":"https://pith.science/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E/bundle.json","state":"https://pith.science/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FNNOKOE4AY6ZCBS35A6NPWUR5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FNNOKOE4AY6ZCBS35A6NPWUR5E","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":"472ddf514489c888e5cb18af84a4c25467c5576cc362cd8ed28e4d15354ba183","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-07T09:22:29Z","title_canon_sha256":"6ee5be3e9f9b668b1c1f0cc0e0554aba63f2e0ee53ad0e6f816fdfb3848e6cc7"},"schema_version":"1.0","source":{"id":"2101.02443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.02443","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"arxiv_version","alias_value":"2101.02443v1","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.02443","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"pith_short_12","alias_value":"FNNOKOE4AY6Z","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"pith_short_16","alias_value":"FNNOKOE4AY6ZCBS3","created_at":"2026-07-05T02:05:13Z"},{"alias_kind":"pith_short_8","alias_value":"FNNOKOE4","created_at":"2026-07-05T02:05:13Z"}],"graph_snapshots":[{"event_id":"sha256:7ee7738ef9690766fd6d79fb23f14e6ca3cb6db50052906e70235519560f97fb","target":"graph","created_at":"2026-07-05T02:05:13Z","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/2101.02443/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In recent years, quaternion matrix completion (QMC) based on low-rank regularization has been gradually used in image de-noising and de-blurring.Unlike low-rank matrix completion (LRMC) which handles RGB images by recovering each color channel separately, the QMC models utilize the connection of three channels by processing them as a whole. Most of the existing quaternion-based methods formulate low-rank QMC (LRQMC) as a quaternion nuclear norm (a convex relaxation of the rank) minimization problem.The main limitation of these approaches is that the singular values being minimized simultaneous","authors_text":"Jifei Miao, Kit Ian Kou, Liqiao Yang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-07T09:22:29Z","title":"Weighted Truncated Nuclear Norm Regularization for Low-Rank Quaternion Matrix Completion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.02443","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":"sha256:7b7128f6fe892633c822d9dcdb7551e606b6379a9cbaf71597fd86feb23d55f3","target":"record","created_at":"2026-07-05T02:05:13Z","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":"472ddf514489c888e5cb18af84a4c25467c5576cc362cd8ed28e4d15354ba183","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2021-01-07T09:22:29Z","title_canon_sha256":"6ee5be3e9f9b668b1c1f0cc0e0554aba63f2e0ee53ad0e6f816fdfb3848e6cc7"},"schema_version":"1.0","source":{"id":"2101.02443","kind":"arxiv","version":1}},"canonical_sha256":"2b5ae5389c063d91065be83cd7da91e924311b4f3875cb6a6610969ea57a08b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b5ae5389c063d91065be83cd7da91e924311b4f3875cb6a6610969ea57a08b7","first_computed_at":"2026-07-05T02:05:13.782912Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:05:13.782912Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t4Vs/QHJvgYjh9hPLukSeeNUQT7Cndqh7EGs/B8QH37KTtsUuP6zf3Q2QnxsX+pVuWaciYu6HmCDdQoQPuqlDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:05:13.783248Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.02443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b7128f6fe892633c822d9dcdb7551e606b6379a9cbaf71597fd86feb23d55f3","sha256:7ee7738ef9690766fd6d79fb23f14e6ca3cb6db50052906e70235519560f97fb"],"state_sha256":"5b1bb36a304e72dc2829fb759820eb86f2f6b973a2974fdbf18e2aa0219cbcef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q6gEWYcYj3cj9gCsvhSEo+muMnaBPc0/UR4eJDOq7PXRZHP8Uz7W40FvpiJf4uEa07V//Rmbffg2KYGJpEnOCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:57:12.818228Z","bundle_sha256":"67e238bcb20c4950a609538ca216bddd06313f30b6a1ec91af62d419f39772b0"}}