{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:MEACBQ4ME4HSZQI5X67CRTNVLR","short_pith_number":"pith:MEACBQ4M","canonical_record":{"source":{"id":"2101.05231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2021-01-05T17:58:15Z","cross_cats_sorted":["cs.LG","eess.IV"],"title_canon_sha256":"a7a51d96f808211f27de306621b371b89690029913179d90067d45049cde260e","abstract_canon_sha256":"23c35c2fae45f06749747f6664252b88376d837d45bfcaaac8da31c5f421f978"},"schema_version":"1.0"},"canonical_sha256":"610020c38c270f2cc11dbfbe28cdb55c4d6dfaaa299ec1d891e7d1d4c54b2836","source":{"kind":"arxiv","id":"2101.05231","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.05231","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"2101.05231v2","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.05231","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"MEACBQ4ME4HS","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_16","alias_value":"MEACBQ4ME4HSZQI5","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_8","alias_value":"MEACBQ4M","created_at":"2026-07-05T05:45:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:MEACBQ4ME4HSZQI5X67CRTNVLR","target":"record","payload":{"canonical_record":{"source":{"id":"2101.05231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2021-01-05T17:58:15Z","cross_cats_sorted":["cs.LG","eess.IV"],"title_canon_sha256":"a7a51d96f808211f27de306621b371b89690029913179d90067d45049cde260e","abstract_canon_sha256":"23c35c2fae45f06749747f6664252b88376d837d45bfcaaac8da31c5f421f978"},"schema_version":"1.0"},"canonical_sha256":"610020c38c270f2cc11dbfbe28cdb55c4d6dfaaa299ec1d891e7d1d4c54b2836","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:45:23.651387Z","signature_b64":"2FWulYvBfX7NDyRAKZtGoBMIIiAQKDmeyh8Cmt8IExWLojNGh/c+MwD7fZBT1EgPNLKxhJ+Yz2f++KW99atjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"610020c38c270f2cc11dbfbe28cdb55c4d6dfaaa299ec1d891e7d1d4c54b2836","last_reissued_at":"2026-07-05T05:45:23.650899Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:45:23.650899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.05231","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:45:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kypCdA8efGinpEZh47Tk5b7iqaukQtHrSRoDxLz++y33LMtpAEfyJyBXDgGRf/og3t9Qwladv6cNKf/fPBtFCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-25T20:32:25.330788Z"},"content_sha256":"30c3a37978341b0b9ccbf612e9affc6246415cb570743aa81f821efadb4a6ca0","schema_version":"1.0","event_id":"sha256:30c3a37978341b0b9ccbf612e9affc6246415cb570743aa81f821efadb4a6ca0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:MEACBQ4ME4HSZQI5X67CRTNVLR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust CUR Decomposition: Theory and Imaging Applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","eess.IV"],"primary_cat":"cs.CV","authors_text":"Deanna Needell, HanQin Cai, Keaton Hamm, Longxiu Huang","submitted_at":"2021-01-05T17:58:15Z","abstract_excerpt":"This paper considers the use of Robust PCA in a CUR decomposition framework and applications thereof. Our main algorithms produce a robust version of column-row factorizations of matrices $\\mathbf{D}=\\mathbf{L}+\\mathbf{S}$ where $\\mathbf{L}$ is low-rank and $\\mathbf{S}$ contains sparse outliers. These methods yield interpretable factorizations at low computational cost, and provide new CUR decompositions that are robust to sparse outliers, in contrast to previous methods. We consider two key imaging applications of Robust PCA: video foreground-background separation and face modeling. This pape"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.05231","kind":"arxiv","version":2},"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/2101.05231/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":"2026-07-05T05:45:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L67FQvXlwhwk9rI8BDGpLYYHvskZSeoNuJf5ENuMxjL2msnKVP46kCmqDLsILaoTSbN/YwQeTdNYQ+RLtbD9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-25T20:32:25.331159Z"},"content_sha256":"4c78ef4c237f6d3bebdac79f0c5eadefafa7f189a8ad4eb29da68fb697a79f94","schema_version":"1.0","event_id":"sha256:4c78ef4c237f6d3bebdac79f0c5eadefafa7f189a8ad4eb29da68fb697a79f94"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MEACBQ4ME4HSZQI5X67CRTNVLR/bundle.json","state_url":"https://pith.science/pith/MEACBQ4ME4HSZQI5X67CRTNVLR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MEACBQ4ME4HSZQI5X67CRTNVLR/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":"2026-07-25T20:32:25Z","links":{"resolver":"https://pith.science/pith/MEACBQ4ME4HSZQI5X67CRTNVLR","bundle":"https://pith.science/pith/MEACBQ4ME4HSZQI5X67CRTNVLR/bundle.json","state":"https://pith.science/pith/MEACBQ4ME4HSZQI5X67CRTNVLR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MEACBQ4ME4HSZQI5X67CRTNVLR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:MEACBQ4ME4HSZQI5X67CRTNVLR","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":"23c35c2fae45f06749747f6664252b88376d837d45bfcaaac8da31c5f421f978","cross_cats_sorted":["cs.LG","eess.IV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2021-01-05T17:58:15Z","title_canon_sha256":"a7a51d96f808211f27de306621b371b89690029913179d90067d45049cde260e"},"schema_version":"1.0","source":{"id":"2101.05231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.05231","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"arxiv_version","alias_value":"2101.05231v2","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.05231","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_12","alias_value":"MEACBQ4ME4HS","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_16","alias_value":"MEACBQ4ME4HSZQI5","created_at":"2026-07-05T05:45:23Z"},{"alias_kind":"pith_short_8","alias_value":"MEACBQ4M","created_at":"2026-07-05T05:45:23Z"}],"graph_snapshots":[{"event_id":"sha256:4c78ef4c237f6d3bebdac79f0c5eadefafa7f189a8ad4eb29da68fb697a79f94","target":"graph","created_at":"2026-07-05T05:45:23Z","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/2101.05231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper considers the use of Robust PCA in a CUR decomposition framework and applications thereof. Our main algorithms produce a robust version of column-row factorizations of matrices $\\mathbf{D}=\\mathbf{L}+\\mathbf{S}$ where $\\mathbf{L}$ is low-rank and $\\mathbf{S}$ contains sparse outliers. These methods yield interpretable factorizations at low computational cost, and provide new CUR decompositions that are robust to sparse outliers, in contrast to previous methods. We consider two key imaging applications of Robust PCA: video foreground-background separation and face modeling. This pape","authors_text":"Deanna Needell, HanQin Cai, Keaton Hamm, Longxiu Huang","cross_cats":["cs.LG","eess.IV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2021-01-05T17:58:15Z","title":"Robust CUR Decomposition: Theory and Imaging Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.05231","kind":"arxiv","version":2},"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":"sha256:30c3a37978341b0b9ccbf612e9affc6246415cb570743aa81f821efadb4a6ca0","target":"record","created_at":"2026-07-05T05:45:23Z","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":"23c35c2fae45f06749747f6664252b88376d837d45bfcaaac8da31c5f421f978","cross_cats_sorted":["cs.LG","eess.IV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2021-01-05T17:58:15Z","title_canon_sha256":"a7a51d96f808211f27de306621b371b89690029913179d90067d45049cde260e"},"schema_version":"1.0","source":{"id":"2101.05231","kind":"arxiv","version":2}},"canonical_sha256":"610020c38c270f2cc11dbfbe28cdb55c4d6dfaaa299ec1d891e7d1d4c54b2836","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"610020c38c270f2cc11dbfbe28cdb55c4d6dfaaa299ec1d891e7d1d4c54b2836","first_computed_at":"2026-07-05T05:45:23.650899Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:45:23.650899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2FWulYvBfX7NDyRAKZtGoBMIIiAQKDmeyh8Cmt8IExWLojNGh/c+MwD7fZBT1EgPNLKxhJ+Yz2f++KW99atjAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:45:23.651387Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.05231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30c3a37978341b0b9ccbf612e9affc6246415cb570743aa81f821efadb4a6ca0","sha256:4c78ef4c237f6d3bebdac79f0c5eadefafa7f189a8ad4eb29da68fb697a79f94"],"state_sha256":"dc7771468a55b10f20e3ef9dc8dd7d587d2508e28c932356d370937d81b438ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H29k7y7Enm81aqUo/ep6zRJjRnsIfDdw2l4LPLojlKoC47ddNTVTo3vbJA8Rj9fGoCqPgZPvZGjOkUS9yqiPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-25T20:32:25.333324Z","bundle_sha256":"4e62881826cbadd8b479df38a3bc905f9ac599d7f291a6f68ff0fa8f00228b43"}}