{"as_of":"2026-08-08T20:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7957565e5d221ee011146495935e9fb9e115a1f2651f26d18341ca39a486e9f1","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T23:04:54.365993Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.15561/citation-record","integrity":"/paper/2607.15561/integrity","json":"/paper/2607.15561/citation-record.json","paper":"/paper/2607.15561"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.06551","last_updated":"2026-07-14T02:23:49Z","snapshot_observed_at":"2026-07-17T23:17:48.703035Z","submitted_at":"2024-12-09T14:59:55Z","title":"A new randomized CholeskyQR based on LU decomposition with partial pivoting","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.06551","snapshot_observed_at":"2026-08-01T23:04:51.714014Z","title":"arxiv preprint arXiv:2412.06551 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:51.714014Z"},"links":{"cited_paper":"/paper/2412.06551","citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:6f22aee34540f94a0d783969df37c01c241859fd8652f313bdb35c6fabfdec6d","observation_id":"dccd7b34-3988-4086-b467-08f2a5987f08","resolution":{"observed_at":"2026-08-01T23:04:51.714014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:51.830029Z","title":"In: 2014 5th Workshop on Latest Advances in Scalable Algorithms for Large-scale Systems, pp","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:51.830029Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:aed3bb13ce4cb8b8aeb06c2648772115eb22a87ba68e34cc75c0d3f57fa5ff89","observation_id":"b61c808c-dea4-4b72-a20e-55ff07a483fa","resolution":{"observed_at":"2026-08-01T23:04:51.830029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:51.943823Z","title":"Electronic Transactions on Numerical Analysis 44(01) (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:51.943823Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:10080e9457cbdbdd92ce92774882fc94204e0ddf263cfb2b35e61d5b5d682179","observation_id":"d28ccab4-901b-4db5-a12c-cda9a6d786ba","resolution":{"observed_at":"2026-08-01T23:04:51.943823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.060788Z","title":"Journal of Scientific Computing 104(2) (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.060788Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:d1d57dfd5c68179adea392a641b6304df464c2313f14fa8266259f56e7ed6153","observation_id":"baaedfdf-5586-4775-957a-c3e472fecbfa","resolution":{"observed_at":"2026-08-01T23:04:52.060788Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.188951Z","title":"SIAM Journal on Scientific Computing 42(1), 477–503 (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.188951Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:6b4c68b889b601b365c50050331ac5a28002dfab712f99a23f66dfbfddbb23b8","observation_id":"60c5d595-9dd1-406e-b064-8fe556db927a","resolution":{"observed_at":"2026-08-01T23:04:52.188951Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.296348Z","title":"Parallel Computing 92, 102571 (2020)","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.296348Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:1d18dc4265f8a2f67fb8b0759808a8cc4084f595a49dd9862de60f5b89a2e495","observation_id":"369d2d6b-6ca9-4159-9c84-8a17ba2f5e37","resolution":{"observed_at":"2026-08-01T23:04:52.296348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.407481Z","title":"SIAM review 53(2), 217–288 (2011)","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.407481Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:91d1e91b3a91e630b1c23b850aa0fab9821563d60639dc65097c9474de329406","observation_id":"7a85ce7b-7e98-4249-bc24-a202f993170d","resolution":{"observed_at":"2026-08-01T23:04:52.407481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.518635Z","title":"Acta Numerica 29, 403–572 (2020) 31","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.518635Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:53d98b434cd512588cb375f24554580bd066334311ed0f8cb69ae1d1e5b8000c","observation_id":"a83a8de6-8c1c-453b-984c-b743bbedc569","resolution":{"observed_at":"2026-08-01T23:04:52.518635Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.09953","last_updated":"2022-10-22T09:20:53Z","snapshot_observed_at":"2026-08-07T14:07:34.220592Z","submitted_at":"2022-10-18T16:07:50Z","title":"Randomized Cholesky QR factorizations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.09953","snapshot_observed_at":"2026-08-01T23:04:52.644755Z","title":"arxiv preprint arXiv:2210.09953 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.644755Z"},"links":{"cited_paper":"/paper/2210.09953","citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:1e4a437a9bd3b7c8c899ae8d403495a146aa387290365b30a3365aec89cceb2c","observation_id":"63162bd7-0179-4faf-a77b-aa3321513680","resolution":{"observed_at":"2026-08-01T23:04:52.644755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.11148","last_updated":"2021-11-24T15:43:24Z","snapshot_observed_at":"2026-08-04T08:14:01.885548Z","submitted_at":"2021-11-22T12:20:32Z","title":"A Novel Randomized XR-Based Preconditioned CholeskyQR Algorithm","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.11148","snapshot_observed_at":"2026-08-01T23:04:52.706249Z","title":"arxiv preprint arxiv:2111.11148 (2021)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.706249Z"},"links":{"cited_paper":"/paper/2111.11148","citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:5a3030f6c08f52d9a807aae2d4c472c47eeb3a7ab4fa273a44b9d71ac1945690","observation_id":"0ce00d38-e9eb-48c7-be31-03a4f354d63b","resolution":{"observed_at":"2026-08-01T23:04:52.706249Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.814743Z","title":"Numerische Math- ematik 157, 1695–1737 (2025)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.814743Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:5d6f4946d3f9bff2f76bd8a973f87f12278fd191ee8dedab87c638aab70978b7","observation_id":"00e8e3d2-2e12-4375-8023-334a5cbf3e45","resolution":{"observed_at":"2026-08-01T23:04:52.814743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.927826Z","title":"SIAM Journal on Scientific Computing 37, 307–330 (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.927826Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:27eb40f62b38e4345dc4cf52e760e4bd8f7c2dbc97b5d4a6a98d0e3d752071c1","observation_id":"86fc725a-05e9-47ae-b50b-1b2676970bf2","resolution":{"observed_at":"2026-08-01T23:04:52.927826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:52.997211Z","title":"The Johns Hopkins University Press, Baltimore (2013)","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:52.997211Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:881c50fa1e6f86f6681e43e916859aa21bd1e99d90d3dba0f6bf9d567ebbd29e","observation_id":"0820cae4-9a31-4912-b99f-ee7581c17524","resolution":{"observed_at":"2026-08-01T23:04:52.997211Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.079191Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.079191Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:71e1fb6b67307731c2401df1f2429fcb03f0c640dd81c67dd698463efe49d6eb","observation_id":"5967feec-9b98-4a6e-85c5-6af09e1ef1b3","resolution":{"observed_at":"2026-08-01T23:04:53.079191Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.187312Z","title":"SIAM Journal on Scientific Computing 44(3), 1450–1474 (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.187312Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:650d1dd3b9d66b447091b6a3cfff80b65a47399d8d68373bba8da9d3903885b4","observation_id":"ce24775d-ef7d-469a-8828-d8c574ec301b","resolution":{"observed_at":"2026-08-01T23:04:53.187312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.240242Z","title":"In: Proceedings of the Forty- Fifth Annual ACM Symposium on Theory of Computing","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.240242Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:7cb1e8e3a3372a1416561e3b1563bbceeee0773fa491ab0747125e236d2ede5a","observation_id":"73d46086-20ea-4cae-842b-ead56ddfd75f","resolution":{"observed_at":"2026-08-01T23:04:53.240242Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.329320Z","title":"Foundations and Trends in Theoretical Computer Science 10(1–2), 1–157 (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.329320Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:e7791cd5b8feecc5b3d9183c1a1d09817cf231515b2962724c49f25abf1d1955","observation_id":"ff526ba9-ee73-46e4-a284-7e9a09c2eb27","resolution":{"observed_at":"2026-08-01T23:04:53.329320Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.409620Z","title":"In: 2006 47th Annual IEEE Symposium on Foundations of Computer Science (FOCS’06), pp","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.409620Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:a29916ff5b194f6abb78f33e818cbbbc2749724cb18afcec7255a5896b050432","observation_id":"6ccefaa8-bd77-412a-aabe-4eedb08aed2b","resolution":{"observed_at":"2026-08-01T23:04:53.409620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.539058Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.539058Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:974c595dc52988ecad6f4bf887ac0c41c0ce1ee908718b2dc2619fb87bcd23c0","observation_id":"e99a2629-b778-4d3e-a347-489346545d68","resolution":{"observed_at":"2026-08-01T23:04:53.539058Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.654909Z","title":"SIAM Journal on Optimization13(2), 321– 334 (2002)","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.654909Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:dba8edf703315493fc97a68be765877d3afbd5116417a9d9f5b1154aed3018e2","observation_id":"79d7220f-46b4-4ec7-ac33-b5af351913bc","resolution":{"observed_at":"2026-08-01T23:04:53.654909Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.784183Z","title":"Physics of Plasmas 20(1), 013507 (2013) https://doi.org/10.1063/1","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.784183Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:b2a171b934c04628a40dd0224acf1e866efb20c07b95df11d1ebad1315b2c718","observation_id":"43c0c2d0-0ba5-4400-96ce-9c7bc71b294f","resolution":{"observed_at":"2026-08-01T23:04:53.784183Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.895711Z","title":"Journal of Computational Physics 159(1), 1–11 (2000)","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.895711Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:9517c38d52ae60f45b9522c4df38ff5b16b034de68541cc360991eee8aacfefc","observation_id":"a9f6021b-0430-46f8-91ab-748ef3dfdc21","resolution":{"observed_at":"2026-08-01T23:04:53.895711Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:53.950363Z","title":"Linear Algebra and its Applications 418, 886–890 (2006)","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:53.950363Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:ea9a009c3e730dbd514eef68b2c8fee9af326eb50d36208ff5fefd57bcc08d06","observation_id":"82fbaa40-6ac9-4c09-8f8e-ebc09fb7ee85","resolution":{"observed_at":"2026-08-01T23:04:53.950363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:54.018655Z","title":"2015 12th International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCW AMTIP), 473–475 (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:54.018655Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:5750573c128bf585855cb6477f3039dfd5b2bf36c08c4866efb9d146c5c9c9b8","observation_id":"44a5c86e-f872-4958-b425-9e9bafb32a02","resolution":{"observed_at":"2026-08-01T23:04:54.018655Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:54.104104Z","title":"Linear Algebra and its Applications 416, 336–347 (2006)","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:54.104104Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:64112374db5d3b4189664d2f10c74a85a3bbd483f3b252ae6fb4659f2792285a","observation_id":"e0c4df16-8321-447f-b8b5-bb8ee4e1901f","resolution":{"observed_at":"2026-08-01T23:04:54.104104Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:54.195434Z","title":"Springer Publishing Company, Incorporated, ??? (2012)","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:54.195434Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:251e84dde32650d8155ca777aaf7e6846659818c0a63a638bbbbbc1f170c7c2c","observation_id":"2c663fd6-dc22-4fe4-b88c-645053dbb4a9","resolution":{"observed_at":"2026-08-01T23:04:54.195434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1505.07570","last_updated":"2015-11-03T03:26:49Z","snapshot_observed_at":"2026-08-01T16:30:35.611927Z","submitted_at":"2015-05-28T07:33:21Z","title":"A Practical Guide to Randomized Matrix Computations with MATLAB Implementations","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1505.07570","snapshot_observed_at":"2026-08-01T23:04:54.269671Z","title":"ArXiv abs/1505.07570 (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:54.269671Z"},"links":{"cited_paper":"/paper/1505.07570","citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:8bb30c4bd0d7a88714a8eb4893fb5743611bb62f9e7b078566878b25042cb69e","observation_id":"59758323-2e0f-49d1-8284-862f7f844af2","resolution":{"observed_at":"2026-08-01T23:04:54.269671Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:04:54.365993Z","title":"Theoretical Computer Science 312(1), 3–15 (2004)","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T23:04:54.365993Z"},"links":{"citing_paper":"/paper/2607.15561"},"observation_digest":"sha256:e85c2ef925305ad87bec8d17299aea381149de263861ab929d42d5db5a52ce25","observation_id":"9dfe66b8-5931-46a1-9b3d-679e05136f48","resolution":{"observed_at":"2026-08-01T23:04:54.365993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15561","last_updated":"2026-07-17T02:04:08Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T06:21:38.192138Z","submitted_at":"2026-07-17T02:04:08Z","title":"RCLUPPr: a new randomized CholeskyQR with LU preconditioning"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":28},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.15561."}