{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:Y3AONENM3P624KNJXU7FM5WYTC","short_pith_number":"pith:Y3AONENM","schema_version":"1.0","canonical_sha256":"c6c0e691acdbfdae29a9bd3e5676d898ab47ab4a480b47c5897088a44a3bada8","source":{"kind":"arxiv","id":"0907.3261","version":1},"attestation_state":"computed","paper":{"title":"Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"H.Tadano, T.Sakurai, Y.Kuramashi","submitted_at":"2009-07-19T05:57:45Z","abstract_excerpt":"There exist two major problems in application of the conventional block BiCGSTAB method to the O(a)-improved Wilson-Dirac equation with multiple right-hand-sides: One is the deviation between the true and the recursive residuals. The other is the convergence failure observed at smaller quark masses for enlarged number of the right-hand-sides. The block BiCGGR algorithm which was recently proposed by the authors succeeds in solving the former problem. In this article we show that a preconditioning technique allows us to improve the convergence behavior for increasing number of the right-hand-si"},"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":"0907.3261","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2009-07-19T05:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"445c227ce578a83f905db36d9c8721e7dea579472f7760484efeb55fc0f4871f","abstract_canon_sha256":"0d61d087be9e5beaa889a48b7cefb7afd15e73554a07da8b8a54b4744d7feee4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:55.788720Z","signature_b64":"u1XpIo2PKS9/LI5YQxRSQ4gGWVE7XI8jrqfYpZDOE+8B997hQvIjAXKKUccqXVqD+369vSo6rLNbnp+zmcuRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6c0e691acdbfdae29a9bd3e5676d898ab47ab4a480b47c5897088a44a3bada8","last_reissued_at":"2026-05-18T02:12:55.788199Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:55.788199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Application of preconditioned block BiCGGR to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"H.Tadano, T.Sakurai, Y.Kuramashi","submitted_at":"2009-07-19T05:57:45Z","abstract_excerpt":"There exist two major problems in application of the conventional block BiCGSTAB method to the O(a)-improved Wilson-Dirac equation with multiple right-hand-sides: One is the deviation between the true and the recursive residuals. The other is the convergence failure observed at smaller quark masses for enlarged number of the right-hand-sides. The block BiCGGR algorithm which was recently proposed by the authors succeeds in solving the former problem. In this article we show that a preconditioning technique allows us to improve the convergence behavior for increasing number of the right-hand-si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3261","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":""},"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":"0907.3261","created_at":"2026-05-18T02:12:55.788270+00:00"},{"alias_kind":"arxiv_version","alias_value":"0907.3261v1","created_at":"2026-05-18T02:12:55.788270+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3261","created_at":"2026-05-18T02:12:55.788270+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3AONENM3P62","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3AONENM3P624KNJ","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3AONENM","created_at":"2026-05-18T12:26:02.257875+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC","json":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC.json","graph_json":"https://pith.science/api/pith-number/Y3AONENM3P624KNJXU7FM5WYTC/graph.json","events_json":"https://pith.science/api/pith-number/Y3AONENM3P624KNJXU7FM5WYTC/events.json","paper":"https://pith.science/paper/Y3AONENM"},"agent_actions":{"view_html":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC","download_json":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC.json","view_paper":"https://pith.science/paper/Y3AONENM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0907.3261&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3AONENM3P624KNJXU7FM5WYTC/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3AONENM3P624KNJXU7FM5WYTC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC/action/storage_attestation","attest_author":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC/action/author_attestation","sign_citation":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC/action/citation_signature","submit_replication":"https://pith.science/pith/Y3AONENM3P624KNJXU7FM5WYTC/action/replication_record"}},"created_at":"2026-05-18T02:12:55.788270+00:00","updated_at":"2026-05-18T02:12:55.788270+00:00"}