{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:GFXF4I6GQ7M5WHPQFAHOACT5O6","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":"e616507bbdbec9b1a33a928ee8fd7ccb7f4b939b0d31b5a44e21bef563eeb73a","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2020-05-06T14:59:19Z","title_canon_sha256":"88bedd91a26e3780892050df5a09c3b59fb1b8fab7a987c22b2770968ebb201a"},"schema_version":"1.0","source":{"id":"2005.02886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.02886","created_at":"2026-07-05T01:46:19Z"},{"alias_kind":"arxiv_version","alias_value":"2005.02886v1","created_at":"2026-07-05T01:46:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.02886","created_at":"2026-07-05T01:46:19Z"},{"alias_kind":"pith_short_12","alias_value":"GFXF4I6GQ7M5","created_at":"2026-07-05T01:46:19Z"},{"alias_kind":"pith_short_16","alias_value":"GFXF4I6GQ7M5WHPQ","created_at":"2026-07-05T01:46:19Z"},{"alias_kind":"pith_short_8","alias_value":"GFXF4I6G","created_at":"2026-07-05T01:46:19Z"}],"graph_snapshots":[{"event_id":"sha256:ce555279c4522a0cad920e53b9d7ef1c6e9c9cc74fe240e67c21b166b902e0ec","target":"graph","created_at":"2026-07-05T01:46:19Z","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/2005.02886/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As a new color image representation tool, quaternion has achieved excellent results in the color image processing, because it treats the color image as a whole rather than as a separate color space component, thus it can make full use of the high correlation among RGB channels. Recently, low-rank quaternion matrix completion (LRQMC) methods have proven very useful for color image inpainting. In this paper, we propose three novel LRQMC methods based on three quaternion-based bilinear factor (QBF) matrix norm minimization models. Specifically, we define quaternion double Frobenius norm (Q-DFN), ","authors_text":"Jifei Miao, Kit Ian Kou","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2020-05-06T14:59:19Z","title":"Quaternion-based bilinear factor matrix norm minimization for color image inpainting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.02886","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:aa87958e5e3fd49e16b0a6e2b2688367888af599e6ace8f73fbd7f10b3a34a22","target":"record","created_at":"2026-07-05T01:46:19Z","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":"e616507bbdbec9b1a33a928ee8fd7ccb7f4b939b0d31b5a44e21bef563eeb73a","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2020-05-06T14:59:19Z","title_canon_sha256":"88bedd91a26e3780892050df5a09c3b59fb1b8fab7a987c22b2770968ebb201a"},"schema_version":"1.0","source":{"id":"2005.02886","kind":"arxiv","version":1}},"canonical_sha256":"316e5e23c687d9db1df0280ee00a7d778143ab58e1f5663f9acb1b25a9301882","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"316e5e23c687d9db1df0280ee00a7d778143ab58e1f5663f9acb1b25a9301882","first_computed_at":"2026-07-05T01:46:19.633371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:46:19.633371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BOdfaEszT3QgTA8IT+uEQnrF9SC5s55GI6oijzHxLa2MwdF/y3hvl7M1slCGhStrUIN21kYBGXc3Wq56A/cJDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:46:19.634122Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.02886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa87958e5e3fd49e16b0a6e2b2688367888af599e6ace8f73fbd7f10b3a34a22","sha256:ce555279c4522a0cad920e53b9d7ef1c6e9c9cc74fe240e67c21b166b902e0ec"],"state_sha256":"31ccaed689a84a030e103cb370dd8a8d70782cd0f8c153713754cc6e5195a06a"}