{"as_of":"2026-08-09T07:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d19d9b957e467d8da958929cf52b8788a5c1cae44b954f5cd6dd4ba31729df7e","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:48:54.866361Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T14:21:46.638666Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T23:26:22.686767Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"cited_work":{"arxiv_id":"2510.13766","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2510.13766","snapshot_observed_at":"2026-07-29T01:24:25.789705Z","title":"Hariprakash, R","venue":null,"work_id":"b0090ee4-b0d3-4b61-93ba-4cc206d6c0bc","year":2025},"citing_paper":{"arxiv_id":"2606.01733","last_updated":"2026-06-01T05:53:30Z","snapshot_observed_at":"2026-07-06T23:42:16.661228Z","submitted_at":"2026-06-01T05:53:30Z","title":"Pauli-structured preconditioning for quantum linear system solvers","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-28T14:21:46.638666Z"},"links":{"cited_paper":"/paper/2510.13766","citing_paper":"/paper/2606.01733"},"observation_digest":"sha256:f6e203da85db047a8f99d4d274e3109e4d8bd13bc13b5e52b44285c9d862aad8","observation_id":"697d5527-d884-44fe-9d57-823e51d242d2","resolution":{"observed_at":"2026-07-29T01:24:25.789705Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2510.13766/citation-record","integrity":"/paper/2510.13766/integrity","json":"/paper/2510.13766/citation-record.json","paper":"/paper/2510.13766"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:48:49.062464Z","title":"Quantum Chemistry in the Age of Quantum Computing","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.062464Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:004fe10a6c68b8e617fb6c76e15aa5f5850d40c93c5218359a80ab2d7900da1e","observation_id":"12a1ae9d-9364-4599-8703-98a4dbe2c234","resolution":{"observed_at":"2026-08-04T09:48:49.062464Z","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":"2026-08-04T09:48:49.190353Z","title":"Quantum Computing for High-Energy Physics: State of the Art and Challenges","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.190353Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:06293e15eb4c1a34cd88128add7ed129e3d072576ef49a6e24e8a2a786239dea","observation_id":"2cd1ac7e-3a10-4172-9ecc-b67b69f3eedf","resolution":{"observed_at":"2026-08-04T09:48:49.190353Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.06298","last_updated":"2024-04-09T13:25:41Z","snapshot_observed_at":"2026-07-06T17:57:44.174936Z","submitted_at":"2024-04-09T13:25:41Z","title":"Quantum Simulating Nature's Fundamental Fields","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.06298","snapshot_observed_at":"2026-08-04T09:48:49.306562Z","title":"Quantum simulation of fundamental particles and forces","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.306562Z"},"links":{"cited_paper":"/paper/2404.06298","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:e8fbfbe9b56a6e5443069a2d17cd106da627efafcc1b857370b5bbbe4ae12958","observation_id":"fd702047-18b2-49b8-85e8-282c235a868a","resolution":{"observed_at":"2026-08-04T09:48:49.306562Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.03381","last_updated":"2022-04-07T11:59:15Z","snapshot_observed_at":"2026-08-04T23:38:37.943265Z","submitted_at":"2022-04-07T11:59:15Z","title":"Quantum Simulation for High Energy Physics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.03381","snapshot_observed_at":"2026-08-04T09:48:49.387594Z","title":"Quantum Simulation for High-Energy Physics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.387594Z"},"links":{"cited_paper":"/paper/2204.03381","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:4dfac600beb3c602c4380cd843d533f064213190696262023134f21ca4e30da0","observation_id":"860d07f1-2965-4f39-b6cd-4d88fb8f10b7","resolution":{"observed_at":"2026-08-04T09:48:49.387594Z","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":"2026-08-04T09:48:49.480227Z","title":"Quantum-centric supercomputing for materials science: A perspective on challenges and future directions","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.480227Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:76459ef3fe86216a60b36b185d916621134d57a9328a7112dc0dd82e29764b9f","observation_id":"a944c520-882d-47d9-b55f-329761a97010","resolution":{"observed_at":"2026-08-04T09:48:49.480227Z","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":"2026-08-04T09:48:49.687198Z","title":"Quantum algorithms: an overview","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.687198Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:8b8122c40daa09b41536044d81420c989eed2f6ab48b95db250d04e50cf3df2f","observation_id":"57a01be2-b7ed-4f49-9b6e-2395bc53ddec","resolution":{"observed_at":"2026-08-04T09:48:49.687198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.02522","last_updated":"2025-01-09T15:47:32Z","snapshot_observed_at":"2026-08-07T00:49:48.527024Z","submitted_at":"2024-11-04T19:03:25Z","title":"Quantum Linear System Solvers: A Survey of Algorithms and Applications","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.02522","snapshot_observed_at":"2026-08-04T09:48:49.777323Z","title":"Quantum Linear System Solvers: A Survey of Algorithms and Applications","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.777323Z"},"links":{"cited_paper":"/paper/2411.02522","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:26d233120e79cd3928f69ce57db3cc4de47de71ba3ef605bec3f2d102dcc427a","observation_id":"93365f7e-fa28-4826-aa14-12f0601eaa11","resolution":{"observed_at":"2026-08-04T09:48:49.777323Z","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":"2026-08-04T09:48:49.833928Z","title":"Quantum Algorithm for Linear Systems of Equations","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.833928Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:0f68ab2fce18b418ced905677e45432185a7b07504f1659af9ca5dff054bf062","observation_id":"239af5e7-5b46-4e6f-9757-80b7b3e37819","resolution":{"observed_at":"2026-08-04T09:48:49.833928Z","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":"2026-08-04T09:48:49.929151Z","title":"Quantum Krylov Algorithm for Szegö Quadrature","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.929151Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:8947ca626e051506aa7a94871e91711a6d23c495ee7569a3c41cbf8d5615dd39","observation_id":"c086500e-5446-4099-957d-17424e9d75ce","resolution":{"observed_at":"2026-08-04T09:48:49.929151Z","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":"2026-08-04T09:48:50.057378Z","title":"Quantum singular value transformation and beyond: exponential improve- ments for quantum matrix arithmetics","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.057378Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:d23d33f07424fb8ff6cc7a10c2f3202ebd3b30ad60350e98b02b2d4acc750732","observation_id":"5444b807-a588-4826-b78d-a4e450207fea","resolution":{"observed_at":"2026-08-04T09:48:50.057378Z","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":"2026-08-04T09:48:50.199013Z","title":"Theory of Trotter Error with Commutator Scaling","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.199013Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:594cffd780daa8971653db815d29836443af8bf78b2617180e50970775a6c89d","observation_id":"bb6b0512-0751-49dd-9c38-1377d763f804","resolution":{"observed_at":"2026-08-04T09:48:50.199013Z","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":"2026-08-04T09:48:50.469176Z","title":"Random Compiler for Fast Hamiltonian Simulation","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.469176Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:1229e3fb2ebfc28e79962c63836cc99424cd376399e0e6ece9fed10988eb28ce","observation_id":"8576936c-eff2-45c1-842f-7543be679655","resolution":{"observed_at":"2026-08-04T09:48:50.469176Z","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":"2026-08-04T09:48:50.583653Z","title":"Efficient Quantum Algorithms for Simulating Sparse Hamiltonians","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.583653Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:06d3a93715a42a9b72d908d119012cb2fe4118204c691dfb82f62f163959b053","observation_id":"b85326bf-e221-4ba2-99ce-1ec0d71f94f3","resolution":{"observed_at":"2026-08-04T09:48:50.583653Z","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":"2026-08-04T09:48:50.669628Z","title":"Hamiltonian Simulation with Nearly Optimal Dependence on all Parameters","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.669628Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:fea4c401113a4a7c33b4e2b287901d26c45eea74bf63724cd183d3c00e6953a1","observation_id":"45fe9f96-4209-4015-891e-70048b0a03c2","resolution":{"observed_at":"2026-08-04T09:48:50.669628Z","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":"2026-08-04T09:48:50.763260Z","title":"Optimal Hamiltonian Simulation by Quantum Signal Processing","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.763260Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:85ff713b776247536706a631836fc731da44565a26d38d4da550082185065ed2","observation_id":"8873016d-8dae-4e92-8c95-040232506a9d","resolution":{"observed_at":"2026-08-04T09:48:50.763260Z","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":"2026-08-04T09:48:50.827792Z","title":"Hamiltonian Simulation by Qubitization","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.827792Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:4c792f7913317b9c45fc2b8dcf026e6a0ffd9940c83f95383d85ad3cdabef31f","observation_id":"ef3be76d-df17-42d7-957a-586cfc7923b2","resolution":{"observed_at":"2026-08-04T09:48:50.827792Z","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":"2026-08-04T09:48:50.948621Z","title":"Grand Unification of Quantum Algorithms","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:50.948621Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:08d6982db93610de13b08972df94397cff85fbd4b2b401ca471d444ca80a57a5","observation_id":"150e27ce-521d-4e4e-8c0e-e859370e880b","resolution":{"observed_at":"2026-08-04T09:48:50.948621Z","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":"2026-08-04T09:48:51.070039Z","title":"Explicit Quantum Circuits for Block Encodings of Certain Sparse Matrices","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.070039Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:5df1e0001ba8770eb6d775094e6d40682996f3e914d7bf001863edc693fc63a9","observation_id":"2f006313-2ccd-41fd-9738-1b374be66285","resolution":{"observed_at":"2026-08-04T09:48:51.070039Z","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":"2026-08-04T09:48:51.177833Z","title":"Block-encoding structured matrices for data input in quantum computing","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.177833Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:9f0153915387cb582a5761820d9ba1292ff5253225efc786121930fb05e9312f","observation_id":"e40c3365-0527-4f72-baba-0c252350efd5","resolution":{"observed_at":"2026-08-04T09:48:51.177833Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.16824","last_updated":"2025-05-12T21:16:31Z","snapshot_observed_at":"2026-07-06T19:07:50.782209Z","submitted_at":"2024-08-29T18:00:02Z","title":"Block encoding bosons by signal processing","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.16824","snapshot_observed_at":"2026-08-04T09:48:51.252289Z","title":"Block encoding bosons by signal processing","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.252289Z"},"links":{"cited_paper":"/paper/2408.16824","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:b9b368460c4bbe5f1c2d2586645c7fd05c1b563c42629ebc9cac2f43c26788e1","observation_id":"29450e13-b6e5-4d14-925f-eced5bec946c","resolution":{"observed_at":"2026-08-04T09:48:51.252289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.11637","last_updated":"2024-06-08T19:04:20Z","snapshot_observed_at":"2026-07-06T17:04:54.448866Z","submitted_at":"2023-12-18T19:00:07Z","title":"Strategies for simulating time evolution of Hamiltonian lattice field theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.11637","snapshot_observed_at":"2026-08-04T09:48:51.413259Z","title":"Strategies for simulating the time evolution of Hamiltonian lattice field theories","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.413259Z"},"links":{"cited_paper":"/paper/2312.11637","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:88e6e5cb2e202bd51146651299be21d08d19698f53415b3729aae7cb2934df6f","observation_id":"ada5550e-3ee2-41b3-a68a-b7c4180475c8","resolution":{"observed_at":"2026-08-04T09:48:51.413259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10416","last_updated":"2025-01-07T17:13:39Z","snapshot_observed_at":"2026-07-06T18:15:33.345302Z","submitted_at":"2024-05-16T19:36:49Z","title":"Exponential improvements in the simulation of lattice gauge theories using near-optimal techniques","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.10416","snapshot_observed_at":"2026-08-04T09:48:51.529688Z","title":"Exponential Improvements in the Simulation of Lattice Gauge Theories Using Near-Optimal Techniques","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.529688Z"},"links":{"cited_paper":"/paper/2405.10416","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:fc05d6204edd3bd65a5aa976bf24719dcf19a7d4d1b7963d0f8ebd6250cb19fc","observation_id":"8eb8c373-df60-496d-94a7-50ceaa7c3b47","resolution":{"observed_at":"2026-08-04T09:48:51.529688Z","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":"2026-08-04T09:48:51.618611Z","title":"An efficient quantum circuit for block encoding a pairing Hamiltonian","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.618611Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:7d9e8ff6ea7ec542fb1bccad0b5ce71b8de81fa8f0a259c79abc6ff8ff7f6c0f","observation_id":"6321de6b-0828-4fb3-ac6d-8d928499eb07","resolution":{"observed_at":"2026-08-04T09:48:51.618611Z","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":"2026-08-04T09:48:51.776901Z","title":"Quantum Resources Required to Block-Encode a Matrix of Classical Data","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.776901Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:0d0d1e1e26f02ff2ae5abb6d4e68b50725013b325bf9cd7f9742f775336741ce","observation_id":"b05eeb6b-b187-46ff-a472-47597a559a8f","resolution":{"observed_at":"2026-08-04T09:48:51.776901Z","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":"2026-08-04T09:48:51.897627Z","title":"Hamiltonian simulation using linear combinations of unitary operations","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.897627Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:5174ea6311912730e69bf3c4192631b881dfa57c524b13c643aa4e133588d21e","observation_id":"f23b2f2b-5168-470f-aa9d-f897d0ff04f9","resolution":{"observed_at":"2026-08-04T09:48:51.897627Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.20887","last_updated":"2025-08-22T16:29:00Z","snapshot_observed_at":"2026-08-07T19:34:32.014240Z","submitted_at":"2025-07-28T14:39:16Z","title":"Efficient LCU block encodings through Dicke states preparation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.20887","snapshot_observed_at":"2026-08-04T09:48:51.972305Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:51.972305Z"},"links":{"cited_paper":"/paper/2507.20887","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:8469105c6328648671cc8ee7fc6987a1c1c937d67020f61958eb783ccbcd9150","observation_id":"aef94d6e-c657-4fbb-80b9-e69d549a358e","resolution":{"observed_at":"2026-08-04T09:48:51.972305Z","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":"2026-08-04T09:48:52.066803Z","title":"Hamiltonian dynamics on digital quantum computers with- out discretization error","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.066803Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:b45cf6f221823d274726ae647bbb0395c51f2a517b89a92228a4604d171df093","observation_id":"eba352f8-b772-4125-9923-fb97a9419dcc","resolution":{"observed_at":"2026-08-04T09:48:52.066803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2110.12071","last_updated":"2022-07-13T19:37:23Z","snapshot_observed_at":"2026-08-06T06:59:30.765500Z","submitted_at":"2021-10-22T21:26:35Z","title":"A randomized quantum algorithm for statistical phase estimation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.12071","snapshot_observed_at":"2026-08-04T09:48:52.145157Z","title":"Randomized Quantum Algorithm for Statisti- cal Phase Estimation","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.145157Z"},"links":{"cited_paper":"/paper/2110.12071","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:5ba79d95a0fb437ef07cf3a664a50bbbec8c1da926abbd15d74629e7b4148ba9","observation_id":"50900d52-3381-4b1b-b036-d25c3acaa646","resolution":{"observed_at":"2026-08-04T09:48:52.145157Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.01873","last_updated":"2024-05-20T23:01:18Z","snapshot_observed_at":"2026-08-06T11:30:27.443581Z","submitted_at":"2023-02-03T17:22:49Z","title":"Qubit-Efficient Randomized Quantum Algorithms for Linear Algebra","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.01873","snapshot_observed_at":"2026-08-04T09:48:52.235907Z","title":"Qubit-Efficient Randomized Quantum Algo- rithms for Linear Algebra","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.235907Z"},"links":{"cited_paper":"/paper/2302.01873","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:61bb6ab0d7bcd8e18ad87122ea38af5976d588fae1ca00341641cca000ae85ae","observation_id":"fe3bde4c-a580-449e-be12-20856de51302","resolution":{"observed_at":"2026-08-04T09:48:52.235907Z","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":"2026-08-04T09:48:52.407196Z","title":"Implementing any Linear Combination of Unitaries on Intermediate- term Quantum Computers","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.407196Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:2a028354eb2d191014df7e75cff51b94345c7180ed2f4af3dd8901bc2b8784fa","observation_id":"197731db-66a5-4edd-980c-a1d4d769488b","resolution":{"observed_at":"2026-08-04T09:48:52.407196Z","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":"2026-08-04T09:48:52.675674Z","title":"Randomized Quantum Singular Value Transformation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.675674Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:b3236eecd41e583bc56140f3a204bb52d2469f2f757dd29b5d1e551d8346b673","observation_id":"49e9f229-a666-4aec-ae42-b72803ac6850","resolution":{"observed_at":"2026-08-04T09:48:52.675674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.03744","last_updated":"2025-03-25T14:18:45Z","snapshot_observed_at":"2026-08-06T10:08:28.221909Z","submitted_at":"2024-09-05T17:56:51Z","title":"Halving the Cost of Quantum Algorithms with Randomization","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.03744","snapshot_observed_at":"2026-08-04T09:48:52.911744Z","title":"Halving the cost of quantum algorithms with randomization","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.911744Z"},"links":{"cited_paper":"/paper/2409.03744","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:ef47f3a8338c8b810b1c1b2b6848a0013b6def89ebfbde82365d0cac0e5fe4a3","observation_id":"0900acac-8361-4cad-b63a-0cc4f5ee7989","resolution":{"observed_at":"2026-08-04T09:48:52.911744Z","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":"2026-08-04T09:48:53.118487Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.118487Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:7a44a614caca970d73ca3de300f4a5c665ad1b952cd3f1698b729e137592a316","observation_id":"1a745526-87c7-4aa1-ac84-e1bf49bd799a","resolution":{"observed_at":"2026-08-04T09:48:53.118487Z","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":"2026-08-04T09:48:53.322302Z","title":"Toward the first quantum simulation with quantum speedup","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.322302Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:b8bb5eff63fed13ace5d579abc89df044af8ddb3ecbc354f52383dff3e53dc92","observation_id":"2dd4b635-527f-4609-9e10-4c80147dda97","resolution":{"observed_at":"2026-08-04T09:48:53.322302Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.05647","last_updated":"2026-07-10T09:31:25Z","snapshot_observed_at":"2026-08-07T17:21:28.727811Z","submitted_at":"2025-03-07T18:09:32Z","title":"Phase estimation with partially randomized time evolution","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.05647","snapshot_observed_at":"2026-08-04T09:48:53.517141Z","title":"Phase estimation with partially randomized time evolution","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.517141Z"},"links":{"cited_paper":"/paper/2503.05647","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:8b41c69e9aacd2d0b0370d426e51ed08206b80ce700d2c16377f2d8479151f38","observation_id":"6e057819-7977-4ec5-9e16-c7772a5d02ea","resolution":{"observed_at":"2026-08-04T09:48:53.517141Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.02306","last_updated":"2017-09-29T21:09:35Z","snapshot_observed_at":"2026-08-08T16:12:40.554253Z","submitted_at":"2015-11-07T05:42:01Z","title":"Quantum algorithm for systems of linear equations with exponentially improved dependence on precision","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.02306","snapshot_observed_at":"2026-08-04T09:48:53.610021Z","title":"Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.610021Z"},"links":{"cited_paper":"/paper/1511.02306","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:41abbc1ee7f545136a4ac784f2d71fe681cb0999a0aa7242975d762853c26d76","observation_id":"389e122f-3430-4932-8053-a7dd711f4ee4","resolution":{"observed_at":"2026-08-04T09:48:53.610021Z","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":"2026-08-04T09:48:53.698122Z","title":"The Exponentially Convergent Trapezoidal Rule","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.698122Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:1a0b111fff6eb8d4bfd6de53c52ea3dfbb9f2682ee2f41b4dc8ee09b999b6b8f","observation_id":"e733f5b0-c6a4-482d-87d3-1de2793f7d4a","resolution":{"observed_at":"2026-08-04T09:48:53.698122Z","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":"2026-08-04T09:48:53.807031Z","title":"Nielsen and Isaac L","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.807031Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:a48283553168af9883d492f5a8396acd90d4c45cf1e77a45509266ac9feceb45","observation_id":"191a0b97-ae0c-4230-9c72-b538c413786f","resolution":{"observed_at":"2026-08-04T09:48:53.807031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.16559","last_updated":"2025-06-19T19:28:21Z","snapshot_observed_at":"2026-08-06T23:35:18.443477Z","submitted_at":"2025-06-19T19:28:21Z","title":"Obtaining continuum physics from dynamical simulations of Hamiltonian lattice gauge theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.16559","snapshot_observed_at":"2026-08-04T09:48:53.910337Z","title":"Obtaining continuum physicsfromdynamicalsimulationsofHamiltonianlatticegaugetheories","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:53.910337Z"},"links":{"cited_paper":"/paper/2506.16559","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:1a39ac0149c8afb1a86e16f0062f08bd807e8af052013d05404b60c5877b01b2","observation_id":"7b0283b6-873a-4460-b028-ca2bdb89b622","resolution":{"observed_at":"2026-08-04T09:48:53.910337Z","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":"10.1137/140954969","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Iteration-Free Computation of Gauss–Legendre Quadrature Nodes and Weights","venue":"SIAM Journal on Scientific Computing","work_id":"8e332726-33b3-4a9d-9c94-267a9fa510c1","year":2014},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.018345Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:58ec16296d729238be2f82eb87ac2a277558c944052f4be82ef1aa57837cbb57","observation_id":"ca554bb5-1e7d-46fd-aa8b-44829d7193c5","resolution":{"observed_at":"2026-08-04T09:53:29.192692Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:48:54.162121Z","title":"Efficient Measurement-Driven Eigenenergy Estimation with Classical Shad- ows","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.162121Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:df3abeccc41557072aeba628431e55e6cd53373815857ea098a38b0ad4ffc23e","observation_id":"2304947a-8145-4b29-abdc-dbf91408433e","resolution":{"observed_at":"2026-08-04T09:48:54.162121Z","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":"2026-08-04T09:48:54.356027Z","title":"Approximation Theory and Approximation Practice, Extended Edition.Philadel- phia,PA:SocietyforIndustrialandAppliedMathematics,2019","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.356027Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:26e0afe7dac580ac4b35244ae7236c898c977d39e4484684039270ced77f9d60","observation_id":"845e3f8e-3cfe-4561-8563-98c822912198","resolution":{"observed_at":"2026-08-04T09:48:54.356027Z","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":"2026-08-04T09:48:54.506779Z","title":"Probability Inequalities for Sums of Bounded Random Variables","venue":null,"work_id":null,"year":1963},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.506779Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:7b5f2a01467983f633b8c53ff662b13eea7f2f621f3e557c8aba5c1b9933f2d3","observation_id":"66cb3416-d71a-4ecc-b8b6-cc86bc12a510","resolution":{"observed_at":"2026-08-04T09:48:54.506779Z","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":"10.1155/2013/412958","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Improved Inequalities for the Poisson and Binomial Distribution and Upper Tail Quantile Functions","venue":"ISRN Probability and Statistics","work_id":"296968ab-85df-4d56-8d38-d1c6aa07efb5","year":2013},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.618636Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:a51e11595a1184e6624d03e50cc1b06201bbcc3fc2ff5360f85be42938bffc51","observation_id":"522446fe-e90b-46f9-9e51-8674e546651f","resolution":{"observed_at":"2026-08-04T09:53:29.054490Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:48:54.785562Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.785562Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:0abfff6c84d6ab4662e841df707f612895de6d60fcbf0f49cfcca4ef76381633","observation_id":"61d15f8d-bc35-44df-a033-1f17791c771b","resolution":{"observed_at":"2026-08-04T09:48:54.785562Z","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":"2026-08-04T09:48:54.866361Z","title":"C.2 Proof of Theorem 5 Proof","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:54.866361Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:8e770a6284d348a8619c50d042e91289f0670100c4832767e583b2bd403c9306","observation_id":"06184c05-b2b6-4449-b9f7-8e23b1fa5213","resolution":{"observed_at":"2026-08-04T09:48:54.866361Z","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":"2026-08-04T09:48:49.594777Z","title":"doi: https://doi.org/10.1016/j.future.2024.04.060","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":710,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:49.594777Z"},"links":{"citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:c7919c8b7ba0654418551c50806e3f5cfcd53e0ce327f0e1238b42f0ff614de0","observation_id":"811da667-f0cc-463e-a0d7-647472fa9ad9","resolution":{"observed_at":"2026-08-04T09:48:49.594777Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.13555","last_updated":"2024-10-06T14:07:45Z","snapshot_observed_at":"2026-08-07T05:22:53.553230Z","submitted_at":"2023-02-27T07:15:14Z","title":"Implementing any Linear Combination of Unitaries on Intermediate-term Quantum Computers","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.13555","snapshot_observed_at":"2026-08-04T09:48:52.511733Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers","version":2},"reference_index":1496,"source":"pdf_text","source_observed_at":"2026-08-04T09:48:52.511733Z"},"links":{"cited_paper":"/paper/2302.13555","citing_paper":"/paper/2510.13766"},"observation_digest":"sha256:88e3309c52c9a70ca2bc06012404f22b61ab08e89b281eb17f38a31918e8d82e","observation_id":"a1ed5997-769a-4755-8ed6-44e5a2bb2c11","resolution":{"observed_at":"2026-08-04T09:48:52.511733Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2510.13766","last_updated":"2026-07-28T01:48:40Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-07T11:59:58.283769Z","submitted_at":"2025-10-15T17:12:55Z","title":"The Practicality of Randomized Quantum Linear Systems Solvers"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":7,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":39,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":48},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2510.13766."}