{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:BXR2KJMAYAJ3WUTTIJNKUMLYLD","short_pith_number":"pith:BXR2KJMA","schema_version":"1.0","canonical_sha256":"0de3a52580c013bb5273425aaa317858cf49fa5f87daf8a2ad90f26b24f63426","source":{"kind":"arxiv","id":"2402.17529","version":1},"attestation_state":"computed","paper":{"title":"Evaluation of block encoding for sparse matrix inversion using QSVT","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Leigh Lapworth","submitted_at":"2024-02-27T14:13:41Z","abstract_excerpt":"Three block encoding methods are evaluated for solving linear systems of equations using QSVT (Quantum Singular Value Transformation). These are ARCSIN, FABLE and PREPARE-SELECT. The performance of the encoders is evaluated using a suite of 30 test cases including 1D, 2D and 3D Laplacians and 2D CFD matrices. A subset of cases is used to characterise how the degree of the polynomial approximation to $1/x$ influences the performance of QSVT. The results are used to guide the evaluation of QSVT as the linear solver in hybrid non-linear pressure correction and coupled implicit CFD solvers. The pe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2402.17529","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2024-02-27T14:13:41Z","cross_cats_sorted":[],"title_canon_sha256":"d5e00a675df55346bccaa31e7e14080cfbd58dfb36ebdf87ae14d822f05cd13c","abstract_canon_sha256":"27f752f57d41ad9d167304313d2a9f4eb126e1fb6925906504ea96f1e524e00f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:49:47.716770Z","signature_b64":"zICytoM61JC10jQ99FDp2nU6orpF8O20m39lExQXx1rx/a8nu2g+FRqviXa4iJOPlZS2u0dingnYra6m4SfwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0de3a52580c013bb5273425aaa317858cf49fa5f87daf8a2ad90f26b24f63426","last_reissued_at":"2026-07-05T07:49:47.716274Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:49:47.716274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evaluation of block encoding for sparse matrix inversion using QSVT","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Leigh Lapworth","submitted_at":"2024-02-27T14:13:41Z","abstract_excerpt":"Three block encoding methods are evaluated for solving linear systems of equations using QSVT (Quantum Singular Value Transformation). These are ARCSIN, FABLE and PREPARE-SELECT. The performance of the encoders is evaluated using a suite of 30 test cases including 1D, 2D and 3D Laplacians and 2D CFD matrices. A subset of cases is used to characterise how the degree of the polynomial approximation to $1/x$ influences the performance of QSVT. The results are used to guide the evaluation of QSVT as the linear solver in hybrid non-linear pressure correction and coupled implicit CFD solvers. The pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.17529","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/2402.17529/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2402.17529","created_at":"2026-07-05T07:49:47.716334+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.17529v1","created_at":"2026-07-05T07:49:47.716334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.17529","created_at":"2026-07-05T07:49:47.716334+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXR2KJMAYAJ3","created_at":"2026-07-05T07:49:47.716334+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXR2KJMAYAJ3WUTT","created_at":"2026-07-05T07:49:47.716334+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXR2KJMA","created_at":"2026-07-05T07:49:47.716334+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.11494","citing_title":"A Quantum Spectral Method for Non-Periodic Boundary Value Problems","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD","json":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD.json","graph_json":"https://pith.science/api/pith-number/BXR2KJMAYAJ3WUTTIJNKUMLYLD/graph.json","events_json":"https://pith.science/api/pith-number/BXR2KJMAYAJ3WUTTIJNKUMLYLD/events.json","paper":"https://pith.science/paper/BXR2KJMA"},"agent_actions":{"view_html":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD","download_json":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD.json","view_paper":"https://pith.science/paper/BXR2KJMA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.17529&json=true","fetch_graph":"https://pith.science/api/pith-number/BXR2KJMAYAJ3WUTTIJNKUMLYLD/graph.json","fetch_events":"https://pith.science/api/pith-number/BXR2KJMAYAJ3WUTTIJNKUMLYLD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD/action/storage_attestation","attest_author":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD/action/author_attestation","sign_citation":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD/action/citation_signature","submit_replication":"https://pith.science/pith/BXR2KJMAYAJ3WUTTIJNKUMLYLD/action/replication_record"}},"created_at":"2026-07-05T07:49:47.716334+00:00","updated_at":"2026-07-05T07:49:47.716334+00:00"}