{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:CKWGCDOE2GFCWVZELVZUYE7NSG","short_pith_number":"pith:CKWGCDOE","canonical_record":{"source":{"id":"2212.08361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2022-12-16T09:20:21Z","cross_cats_sorted":[],"title_canon_sha256":"2b67c7019a8ce899498a307de4a0e4fad28e3429e71586bc7187f31b95000bf0","abstract_canon_sha256":"775b30d5ab4860a0e2a276e16b9064f08432dc634ce22419ec92de08258f2738"},"schema_version":"1.0"},"canonical_sha256":"12ac610dc4d18a2b57245d734c13ed918c858f7a874f329e7e3edc5da76555e8","source":{"kind":"arxiv","id":"2212.08361","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.08361","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"2212.08361v1","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.08361","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"CKWGCDOE2GFC","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"CKWGCDOE2GFCWVZE","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"CKWGCDOE","created_at":"2026-07-05T05:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:CKWGCDOE2GFCWVZELVZUYE7NSG","target":"record","payload":{"canonical_record":{"source":{"id":"2212.08361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2022-12-16T09:20:21Z","cross_cats_sorted":[],"title_canon_sha256":"2b67c7019a8ce899498a307de4a0e4fad28e3429e71586bc7187f31b95000bf0","abstract_canon_sha256":"775b30d5ab4860a0e2a276e16b9064f08432dc634ce22419ec92de08258f2738"},"schema_version":"1.0"},"canonical_sha256":"12ac610dc4d18a2b57245d734c13ed918c858f7a874f329e7e3edc5da76555e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:25:56.174947Z","signature_b64":"EwIy2KJii+/kC3awk7+MPLlRQ/+KVZCFpUt6LvD/yrsJ25O/YMcGmGHIuf/3WsAqkIW8ZgAGoGAN2r+F3AlSBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12ac610dc4d18a2b57245d734c13ed918c858f7a874f329e7e3edc5da76555e8","last_reissued_at":"2026-07-05T05:25:56.174560Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:25:56.174560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.08361","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":"2026-07-05T05:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g5vUHI13SadJG16qR3d68VF8NuSN9raJX0244gBuT9VwFJHzZvDEldT1VlTzVKYxJ87V+aWufeLbBaNh3sbhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T15:59:43.233556Z"},"content_sha256":"81887e34cac26faf84311741fe2b0b04faac26b51ab30dc6dbaa6f618656edca","schema_version":"1.0","event_id":"sha256:81887e34cac26faf84311741fe2b0b04faac26b51ab30dc6dbaa6f618656edca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:CKWGCDOE2GFCWVZELVZUYE7NSG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quaternion Tensor Completion with Sparseness for Color Video Recovery","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, Maggie Pui Man Hoi, Yang Liu","submitted_at":"2022-12-16T09:20:21Z","abstract_excerpt":"A novel low-rank completion algorithm based on the quaternion tensor is proposed in this paper. This approach uses the TQt-rank of quaternion tensor to maintain the structure of RGB channels throughout the entire process. In more detail, the pixels in each frame are encoded on three imaginary parts of a quaternion as an element in a quaternion matrix. Each quaternion matrix is then stacked into a quaternion tensor. A logarithmic function and truncated nuclear norm are employed to characterize the rank of the quaternion tensor in order to promote the low rankness of the tensor. Moreover, by int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.08361","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/2212.08361/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":"2026-07-05T05:25:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lXk02omM92Dc0l7j/fpmBGX9beVXWcCxVFJMgrL2+oFkpkJ7aaGx2cTiI+9n94LrYjSak3WozAjsBS+vq0LcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T15:59:43.233879Z"},"content_sha256":"589adcb164eaafb1a24149002c95a2ea9666b9a121aa35d2ae55a7ef818c199e","schema_version":"1.0","event_id":"sha256:589adcb164eaafb1a24149002c95a2ea9666b9a121aa35d2ae55a7ef818c199e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CKWGCDOE2GFCWVZELVZUYE7NSG/bundle.json","state_url":"https://pith.science/pith/CKWGCDOE2GFCWVZELVZUYE7NSG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CKWGCDOE2GFCWVZELVZUYE7NSG/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":"2026-08-14T15:59:43Z","links":{"resolver":"https://pith.science/pith/CKWGCDOE2GFCWVZELVZUYE7NSG","bundle":"https://pith.science/pith/CKWGCDOE2GFCWVZELVZUYE7NSG/bundle.json","state":"https://pith.science/pith/CKWGCDOE2GFCWVZELVZUYE7NSG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CKWGCDOE2GFCWVZELVZUYE7NSG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CKWGCDOE2GFCWVZELVZUYE7NSG","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":"775b30d5ab4860a0e2a276e16b9064f08432dc634ce22419ec92de08258f2738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2022-12-16T09:20:21Z","title_canon_sha256":"2b67c7019a8ce899498a307de4a0e4fad28e3429e71586bc7187f31b95000bf0"},"schema_version":"1.0","source":{"id":"2212.08361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.08361","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"arxiv_version","alias_value":"2212.08361v1","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.08361","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"pith_short_12","alias_value":"CKWGCDOE2GFC","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"CKWGCDOE2GFCWVZE","created_at":"2026-07-05T05:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"CKWGCDOE","created_at":"2026-07-05T05:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:589adcb164eaafb1a24149002c95a2ea9666b9a121aa35d2ae55a7ef818c199e","target":"graph","created_at":"2026-07-05T05:25:56Z","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/2212.08361/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A novel low-rank completion algorithm based on the quaternion tensor is proposed in this paper. This approach uses the TQt-rank of quaternion tensor to maintain the structure of RGB channels throughout the entire process. In more detail, the pixels in each frame are encoded on three imaginary parts of a quaternion as an element in a quaternion matrix. Each quaternion matrix is then stacked into a quaternion tensor. A logarithmic function and truncated nuclear norm are employed to characterize the rank of the quaternion tensor in order to promote the low rankness of the tensor. Moreover, by int","authors_text":"Jifei Miao, Kit Ian Kou, Liqiao Yang, Maggie Pui Man Hoi, Yang Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2022-12-16T09:20:21Z","title":"Quaternion Tensor Completion with Sparseness for Color Video Recovery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.08361","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":"sha256:81887e34cac26faf84311741fe2b0b04faac26b51ab30dc6dbaa6f618656edca","target":"record","created_at":"2026-07-05T05:25:56Z","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":"775b30d5ab4860a0e2a276e16b9064f08432dc634ce22419ec92de08258f2738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2022-12-16T09:20:21Z","title_canon_sha256":"2b67c7019a8ce899498a307de4a0e4fad28e3429e71586bc7187f31b95000bf0"},"schema_version":"1.0","source":{"id":"2212.08361","kind":"arxiv","version":1}},"canonical_sha256":"12ac610dc4d18a2b57245d734c13ed918c858f7a874f329e7e3edc5da76555e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12ac610dc4d18a2b57245d734c13ed918c858f7a874f329e7e3edc5da76555e8","first_computed_at":"2026-07-05T05:25:56.174560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:25:56.174560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EwIy2KJii+/kC3awk7+MPLlRQ/+KVZCFpUt6LvD/yrsJ25O/YMcGmGHIuf/3WsAqkIW8ZgAGoGAN2r+F3AlSBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:25:56.174947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.08361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81887e34cac26faf84311741fe2b0b04faac26b51ab30dc6dbaa6f618656edca","sha256:589adcb164eaafb1a24149002c95a2ea9666b9a121aa35d2ae55a7ef818c199e"],"state_sha256":"ed7a37478a4a840aa5fbf0723d3efbc8bb47a447391da823f5f1691e3b6980f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jXIGsenul6jB1Jipj52nD4gMU3+vSoqoq4VEQN+z4iUrjtQUXOzfZY6csfyW5wacJNLcewxekoLKihoP9ZEcCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T15:59:43.236629Z","bundle_sha256":"b3605beae414fad8bca0a5cbe6605523d8dfa876da6934a52acdb6e58940cd4f"}}