{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:C24O2QCPPWEECSMAOFYJGYPPEK","short_pith_number":"pith:C24O2QCP","canonical_record":{"source":{"id":"2303.06958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-03-13T09:56:52Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"29b6497b7431da53072d34ecccadb3dd08234c2fcc36713a6d0931c1c6feedec","abstract_canon_sha256":"1c3a0b3c61c3ba21e6d9cf2be25cd75165b9358fa42206c83afe2d21a1d91349"},"schema_version":"1.0"},"canonical_sha256":"16b8ed404f7d8841498071709361ef229be193fc1f290497f3c07cf86a55cc93","source":{"kind":"arxiv","id":"2303.06958","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.06958","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"2303.06958v1","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.06958","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"C24O2QCPPWEE","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"pith_short_16","alias_value":"C24O2QCPPWEECSMA","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"pith_short_8","alias_value":"C24O2QCP","created_at":"2026-07-05T05:50:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:C24O2QCPPWEECSMAOFYJGYPPEK","target":"record","payload":{"canonical_record":{"source":{"id":"2303.06958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-03-13T09:56:52Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"29b6497b7431da53072d34ecccadb3dd08234c2fcc36713a6d0931c1c6feedec","abstract_canon_sha256":"1c3a0b3c61c3ba21e6d9cf2be25cd75165b9358fa42206c83afe2d21a1d91349"},"schema_version":"1.0"},"canonical_sha256":"16b8ed404f7d8841498071709361ef229be193fc1f290497f3c07cf86a55cc93","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:50:24.820117Z","signature_b64":"KUanotfK7//TKN/T5uFSYZy81pFx+1atPLsBTlEflS4YNebqZsTqhMBZ02jH+UHUsOrENSyH1gOEeoAoVWogCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16b8ed404f7d8841498071709361ef229be193fc1f290497f3c07cf86a55cc93","last_reissued_at":"2026-07-05T05:50:24.819769Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:50:24.819769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2303.06958","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":"2026-07-05T05:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olz2XCb7FR2rlDDIScU8uL9WWQMx8VZfFtnY/0ADGeTAGSbCUGcKVogbHvFmL3XlHpqw6HSPLp4Fu/HnQFfSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:50:06.326333Z"},"content_sha256":"560aa4a442b2b7f516d5c94f7afaea98901748efd12112524cb21970cb21526c","schema_version":"1.0","event_id":"sha256:560aa4a442b2b7f516d5c94f7afaea98901748efd12112524cb21970cb21526c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:C24O2QCPPWEECSMAOFYJGYPPEK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CPQR-based randomized algorithms for generalized CUR decompositions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Guihua Zhang, Hanyu Li, Yimin Wei","submitted_at":"2023-03-13T09:56:52Z","abstract_excerpt":"Based on the column pivoted QR decomposition, we propose some randomized algorithms including pass-efficient ones for the generalized CUR decompositions of matrix pair and matrix triplet. Detailed error analyses of these algorithms are provided. Numerical experiments are given to test the proposed randomized algorithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.06958","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/2303.06958/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":"2026-07-05T05:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"628LDRBzLxxF5BQvbvKu8aqMe3dpLgkWbtmod9pdTG1LEqmU7YGccuOjb+CND7OBUrRDDLE5dlXyOJVrKXTZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T22:50:06.326947Z"},"content_sha256":"5e06447f97c034ed975c639f6c65c73578e2cf0d1577843444b4a357eabbaa7f","schema_version":"1.0","event_id":"sha256:5e06447f97c034ed975c639f6c65c73578e2cf0d1577843444b4a357eabbaa7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C24O2QCPPWEECSMAOFYJGYPPEK/bundle.json","state_url":"https://pith.science/pith/C24O2QCPPWEECSMAOFYJGYPPEK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C24O2QCPPWEECSMAOFYJGYPPEK/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":"2026-08-05T22:50:06Z","links":{"resolver":"https://pith.science/pith/C24O2QCPPWEECSMAOFYJGYPPEK","bundle":"https://pith.science/pith/C24O2QCPPWEECSMAOFYJGYPPEK/bundle.json","state":"https://pith.science/pith/C24O2QCPPWEECSMAOFYJGYPPEK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C24O2QCPPWEECSMAOFYJGYPPEK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:C24O2QCPPWEECSMAOFYJGYPPEK","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":"1c3a0b3c61c3ba21e6d9cf2be25cd75165b9358fa42206c83afe2d21a1d91349","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-03-13T09:56:52Z","title_canon_sha256":"29b6497b7431da53072d34ecccadb3dd08234c2fcc36713a6d0931c1c6feedec"},"schema_version":"1.0","source":{"id":"2303.06958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2303.06958","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"2303.06958v1","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.06958","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"C24O2QCPPWEE","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"pith_short_16","alias_value":"C24O2QCPPWEECSMA","created_at":"2026-07-05T05:50:24Z"},{"alias_kind":"pith_short_8","alias_value":"C24O2QCP","created_at":"2026-07-05T05:50:24Z"}],"graph_snapshots":[{"event_id":"sha256:5e06447f97c034ed975c639f6c65c73578e2cf0d1577843444b4a357eabbaa7f","target":"graph","created_at":"2026-07-05T05:50:24Z","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/2303.06958/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the column pivoted QR decomposition, we propose some randomized algorithms including pass-efficient ones for the generalized CUR decompositions of matrix pair and matrix triplet. Detailed error analyses of these algorithms are provided. Numerical experiments are given to test the proposed randomized algorithms.","authors_text":"Guihua Zhang, Hanyu Li, Yimin Wei","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-03-13T09:56:52Z","title":"CPQR-based randomized algorithms for generalized CUR decompositions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.06958","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":"sha256:560aa4a442b2b7f516d5c94f7afaea98901748efd12112524cb21970cb21526c","target":"record","created_at":"2026-07-05T05:50:24Z","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":"1c3a0b3c61c3ba21e6d9cf2be25cd75165b9358fa42206c83afe2d21a1d91349","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-03-13T09:56:52Z","title_canon_sha256":"29b6497b7431da53072d34ecccadb3dd08234c2fcc36713a6d0931c1c6feedec"},"schema_version":"1.0","source":{"id":"2303.06958","kind":"arxiv","version":1}},"canonical_sha256":"16b8ed404f7d8841498071709361ef229be193fc1f290497f3c07cf86a55cc93","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16b8ed404f7d8841498071709361ef229be193fc1f290497f3c07cf86a55cc93","first_computed_at":"2026-07-05T05:50:24.819769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:50:24.819769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KUanotfK7//TKN/T5uFSYZy81pFx+1atPLsBTlEflS4YNebqZsTqhMBZ02jH+UHUsOrENSyH1gOEeoAoVWogCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:50:24.820117Z","signed_message":"canonical_sha256_bytes"},"source_id":"2303.06958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560aa4a442b2b7f516d5c94f7afaea98901748efd12112524cb21970cb21526c","sha256:5e06447f97c034ed975c639f6c65c73578e2cf0d1577843444b4a357eabbaa7f"],"state_sha256":"46cc5b5eee75304cb1569e67cbce596b1e2a5b9553f4c58ae708b229ebbcb784"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sl55pW4QkVw14R7wrsNCzs4vlgRLOgdl3B20sX1XDGGwMfRZCAvwWsMvVd7baTngaGwipZIyS0ogLG8Bdu6SCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T22:50:06.332972Z","bundle_sha256":"4eeb51beb0c1adeb1744490327a6d47ea918ce32e37b34fe0736d36eb18546d6"}}