{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5AO3AIPKQLGJR6KQTEQ274L3Z5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"393efd7a8ea83512a23e424737ce495d7b3f9da35e70035b12245f641f2abc5c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-04-24T19:25:26Z","title_canon_sha256":"d786667d12d7b4fee7330d5376b998d2b3d2e72bda0e1bb91147220036df61eb"},"schema_version":"1.0","source":{"id":"1204.5463","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.5463","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.5463v1","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5463","created_at":"2026-05-18T03:57:13Z"},{"alias_kind":"pith_short_12","alias_value":"5AO3AIPKQLGJ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5AO3AIPKQLGJR6KQ","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5AO3AIPK","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:2e1ef41d34fc560052115377ea37859be493a3850015f6c83e488a4ae8b01b58","target":"graph","created_at":"2026-05-18T03:57:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The simulation of lattice QCD on massively parallel computers stimulated the development of scalable algorithms for the solution of sparse linear systems. We tackle the problem of the Wilson-Dirac operator inversion by combining a Schwarz alternating procedure (SAP) in multiplicative form with a flexible variant of the GMRES-DR algorithm. We show that restarted GMRES is not able to converge when the system is poorly conditioned. By adding deflation in the form of the FGMRES-DR algorithm, an important fraction of the information produced by the iterates is kept between successive restarts leadi","authors_text":"Andrea Nobile, Andreas Frommer, Paul Zingler","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-04-24T19:25:26Z","title":"Deflation and Flexible SAP-Preconditioning of GMRES in Lattice QCD Simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5463","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:753c1159374dfd175f7fab630a73efa8dbaa2aac41f6d3ca4bed4cade39d8274","target":"record","created_at":"2026-05-18T03:57:13Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"393efd7a8ea83512a23e424737ce495d7b3f9da35e70035b12245f641f2abc5c","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-04-24T19:25:26Z","title_canon_sha256":"d786667d12d7b4fee7330d5376b998d2b3d2e72bda0e1bb91147220036df61eb"},"schema_version":"1.0","source":{"id":"1204.5463","kind":"arxiv","version":1}},"canonical_sha256":"e81db021ea82cc98f9509921aff17bcf6d1d7c9361c693b8e923c276ac054d48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e81db021ea82cc98f9509921aff17bcf6d1d7c9361c693b8e923c276ac054d48","first_computed_at":"2026-05-18T03:57:13.222383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:13.222383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PDShPNINz37incujLeHWz43pIAaFF6GMjKTOnIJBoKvKkIO6+mUmsFv/3yfvPTNXm/ZAnyr8NKydFXc5f10WDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:13.222918Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.5463","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:753c1159374dfd175f7fab630a73efa8dbaa2aac41f6d3ca4bed4cade39d8274","sha256:2e1ef41d34fc560052115377ea37859be493a3850015f6c83e488a4ae8b01b58"],"state_sha256":"8a8367da795216e9f5f0afed42479bc14aa5364302c6e8533072e308a413033b"}