{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RT2AJ3W4JRGK4AV7ZHPTSPFJEE","short_pith_number":"pith:RT2AJ3W4","canonical_record":{"source":{"id":"2607.15561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-17T02:04:08Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"8e98927d22588fbf5182c0b94293593469219427728ccf3dbddf920f7005b5f2","abstract_canon_sha256":"ea675a54fec1a49c42fef63054be2089b00f27959ffb43e33fd13a4850044af2"},"schema_version":"1.0"},"canonical_sha256":"8cf404eedc4c4cae02bfc9df393ca92110596e2cec825025b358a477131c2b6a","source":{"kind":"arxiv","id":"2607.15561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15561","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15561v1","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15561","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"RT2AJ3W4JRGK","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"pith_short_16","alias_value":"RT2AJ3W4JRGK4AV7","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"pith_short_8","alias_value":"RT2AJ3W4","created_at":"2026-07-20T00:18:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RT2AJ3W4JRGK4AV7ZHPTSPFJEE","target":"record","payload":{"canonical_record":{"source":{"id":"2607.15561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-17T02:04:08Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"8e98927d22588fbf5182c0b94293593469219427728ccf3dbddf920f7005b5f2","abstract_canon_sha256":"ea675a54fec1a49c42fef63054be2089b00f27959ffb43e33fd13a4850044af2"},"schema_version":"1.0"},"canonical_sha256":"8cf404eedc4c4cae02bfc9df393ca92110596e2cec825025b358a477131c2b6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-20T00:18:40.300613Z","signature_b64":"dCD4+et4PyA5/7b14veqSPA3CU8/E3LYjdKYnr3oMwFLLbjtuTdZShcRNexs9hTs6XlExGJ50l5Wj8s7bkPQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8cf404eedc4c4cae02bfc9df393ca92110596e2cec825025b358a477131c2b6a","last_reissued_at":"2026-07-20T00:18:40.299743Z","signature_status":"signed_v1","first_computed_at":"2026-07-20T00:18:40.299743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.15561","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":"2026-07-20T00:18:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bUlixj0K4zBnZJerFYACXrdVMBY4Nn7VSrO0btI4PO2gggJE/9UVmjefBCJlUoOr9cE3j6+DffL+EXHYL6XHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:33:16.872044Z"},"content_sha256":"d8e39f47b4934725d93cf65dd24e10058710a1e11fdf277061b5cfcdac3f506a","schema_version":"1.0","event_id":"sha256:d8e39f47b4934725d93cf65dd24e10058710a1e11fdf277061b5cfcdac3f506a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RT2AJ3W4JRGK4AV7ZHPTSPFJEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Haoran Guan, Peiting You, Yipei Chen, Yufeng Wei, Yuwei Fan, Zhenyu Zou","submitted_at":"2026-07-17T02:04:08Z","abstract_excerpt":"In this work, we present the comprehensive rounding error analysis of RCLUPPr proposed in \\cite{RCLUPP}, which is a novel randomized CholeskyQR-type algorithm performing LU decomposition with partial pivoting (LUPP decomposition) directly on the tall-skinny $X\\in\\mathbb{R}^{m\\times n}$ with $m \\ge n$ and $\\mbox{rank}(X)=n$. In contrast to the existing RCLUPP in \\cite{RCLUPP}, which applies matrix sketching before LUPP decomposition, RCLUPPr places LUPP decomposition as a preconditioning step first, significantly reducing error propagation. Our analysis rigorously proves that RCLUPPr enjoys mar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15561","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/2607.15561/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":"2026-07-20T00:18:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lrQ68GtK67RQWG3MUeCnicwH/ZSU5d9TQT0GqZQLhvUyv3J3FW2sLkqQD79WVHOBTWCmCKomGKTZL2ANn8UgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:33:16.873066Z"},"content_sha256":"4673d7c5e0580a290f18aa3c8a0000be145aed6ef6b2bb9d4447a04eee56cdef","schema_version":"1.0","event_id":"sha256:4673d7c5e0580a290f18aa3c8a0000be145aed6ef6b2bb9d4447a04eee56cdef"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:RT2AJ3W4JRGK4AV7ZHPTSPFJEE","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1063/1.4775084 resolves to 'Simulation benchmarks for low-pressure plasmas: Capacitive discharges'. A reader following the printed text alone cannot reach it.","snippet":"Turner, M.M., Derzsi, A., Donk´ o, Z., Eremin, D., Kelly, S.J., Lafleur, T., Mussenbrock, T.: Simulation benchmarks for low-pressure plasmas: Capacitive discharges. Physics of Plasmas 20(1), 013507 (2013) https://doi.org/10.1063/1. 4775084","arxiv_id":"2607.15561","detector":"doi_compliance","evidence":{"ref_index":21,"verdict_class":"incontrovertible","resolved_title":"Simulation benchmarks for low-pressure plasmas: Capacitive discharges","printed_excerpt":"10.1063/1","reconstructed_doi":"10.1063/1.4775084"},"severity":"advisory","ref_index":21,"audited_at":"2026-08-01T23:09:01.191868Z","event_type":"pith.integrity.v1","detected_doi":"10.1063/1.4775084","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"37d81fe4c7b05c675b61e814ac849162a2f83ba29d57d67d6a9678b24f4eaf95","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"Simulation benchmarks for low-pressure plasmas: Capacitive discharges","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":16813,"payload_sha256":"43d5be98f90868efe7d9fe05f8f46c7b9d4e7924003fa26a7a5dd4c384267ebb","signature_b64":"TLxyZEVqCOSR1T+o19ZEj0LXHbWM1DE3DNp7eRBS9nlVuBKusQNYD82fnUyxl6LUbdLtW7LpOQUncI8iTGacCg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-01T23:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1TNAOm50hy0da2MHLAesmdHho++5BP6BxyKji0EoqzZ0ms5Qto16YoSYErIoiOZKo5LTW0gjBWrLNViTghj3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:33:16.878840Z"},"content_sha256":"984344268a1758b95650aeecd1ac17a7812401b6b997208d8625808632df43d9","schema_version":"1.0","event_id":"sha256:984344268a1758b95650aeecd1ac17a7812401b6b997208d8625808632df43d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE/bundle.json","state_url":"https://pith.science/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE/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":"2026-08-08T08:33:16Z","links":{"resolver":"https://pith.science/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE","bundle":"https://pith.science/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE/bundle.json","state":"https://pith.science/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RT2AJ3W4JRGK4AV7ZHPTSPFJEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RT2AJ3W4JRGK4AV7ZHPTSPFJEE","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ea675a54fec1a49c42fef63054be2089b00f27959ffb43e33fd13a4850044af2","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-17T02:04:08Z","title_canon_sha256":"8e98927d22588fbf5182c0b94293593469219427728ccf3dbddf920f7005b5f2"},"schema_version":"1.0","source":{"id":"2607.15561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15561","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15561v1","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15561","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"RT2AJ3W4JRGK","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"pith_short_16","alias_value":"RT2AJ3W4JRGK4AV7","created_at":"2026-07-20T00:18:40Z"},{"alias_kind":"pith_short_8","alias_value":"RT2AJ3W4","created_at":"2026-07-20T00:18:40Z"}],"graph_snapshots":[{"event_id":"sha256:4673d7c5e0580a290f18aa3c8a0000be145aed6ef6b2bb9d4447a04eee56cdef","target":"graph","created_at":"2026-07-20T00:18:40Z","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/2607.15561/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we present the comprehensive rounding error analysis of RCLUPPr proposed in \\cite{RCLUPP}, which is a novel randomized CholeskyQR-type algorithm performing LU decomposition with partial pivoting (LUPP decomposition) directly on the tall-skinny $X\\in\\mathbb{R}^{m\\times n}$ with $m \\ge n$ and $\\mbox{rank}(X)=n$. In contrast to the existing RCLUPP in \\cite{RCLUPP}, which applies matrix sketching before LUPP decomposition, RCLUPPr places LUPP decomposition as a preconditioning step first, significantly reducing error propagation. Our analysis rigorously proves that RCLUPPr enjoys mar","authors_text":"Haoran Guan, Peiting You, Yipei Chen, Yufeng Wei, Yuwei Fan, Zhenyu Zou","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15561","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:d8e39f47b4934725d93cf65dd24e10058710a1e11fdf277061b5cfcdac3f506a","target":"record","created_at":"2026-07-20T00:18:40Z","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":"ea675a54fec1a49c42fef63054be2089b00f27959ffb43e33fd13a4850044af2","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-07-17T02:04:08Z","title_canon_sha256":"8e98927d22588fbf5182c0b94293593469219427728ccf3dbddf920f7005b5f2"},"schema_version":"1.0","source":{"id":"2607.15561","kind":"arxiv","version":1}},"canonical_sha256":"8cf404eedc4c4cae02bfc9df393ca92110596e2cec825025b358a477131c2b6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cf404eedc4c4cae02bfc9df393ca92110596e2cec825025b358a477131c2b6a","first_computed_at":"2026-07-20T00:18:40.299743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T00:18:40.299743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dCD4+et4PyA5/7b14veqSPA3CU8/E3LYjdKYnr3oMwFLLbjtuTdZShcRNexs9hTs6XlExGJ50l5Wj8s7bkPQAg==","signature_status":"signed_v1","signed_at":"2026-07-20T00:18:40.300613Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8e39f47b4934725d93cf65dd24e10058710a1e11fdf277061b5cfcdac3f506a","sha256:4673d7c5e0580a290f18aa3c8a0000be145aed6ef6b2bb9d4447a04eee56cdef","sha256:984344268a1758b95650aeecd1ac17a7812401b6b997208d8625808632df43d9"],"state_sha256":"a7201d724f263668e773c050d635d96f0a300cd0b753f8a5adbb52681604dd50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AOcMctYFb43IGI0GepTaOW+75ekRJw1NLF+qKyr4LMWAfXgTS99aD83Ql1senXZkqrF7WwXfvyLkhzZzcVZrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:33:16.882851Z","bundle_sha256":"076fbea9fa5526062c15d3e3dc9419ea953dea8819eafdf8dd0b394b30a78b1e"}}