{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MVON3DTYRFSN3MYTEYJ6RXF35Z","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":"e77626a6efad7461c46532cf5de779dae6ff0ad23571602f440afaa845526fb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-03-17T05:21:45Z","title_canon_sha256":"f9bc8447ecccc9994d58916d309012c7cbbfe32d8d7c4f68fcd5f3b29d92fae3"},"schema_version":"1.0","source":{"id":"1603.05356","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05356","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05356v1","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05356","created_at":"2026-05-18T01:18:56Z"},{"alias_kind":"pith_short_12","alias_value":"MVON3DTYRFSN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVON3DTYRFSN3MYT","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVON3DTY","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:046326645518e236e6349fb642a8110b4925ec0b028f726e63effe90aaf78997","target":"graph","created_at":"2026-05-18T01:18:56Z","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":"It is shown in this paper that, almost all current prevalent iterative \\mbox{methods} for solving linear system of equations can be classified as what we called extended Krylov subspace methods. In this paper a new type of iterative methods are introduced which do not depend on any Krylov subspaces. This type of methods are based on the so-called accumulated projection technique proposed by authors. It overcomes some shortcomings of classical Row-Projection technique and takes full advantages of the linear system. Comparing with traditional Krylov subspace methods which always depend on the ma","authors_text":"Shuhua Zhang, Wujian Peng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-03-17T05:21:45Z","title":"A Stationary Accumulated Projection Method for Linear System of Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05356","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":"sha256:5ff49bb66394b8a99a77d997caddc82bc95a846626de75660c5a9416b3157d5e","target":"record","created_at":"2026-05-18T01:18:56Z","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":"e77626a6efad7461c46532cf5de779dae6ff0ad23571602f440afaa845526fb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-03-17T05:21:45Z","title_canon_sha256":"f9bc8447ecccc9994d58916d309012c7cbbfe32d8d7c4f68fcd5f3b29d92fae3"},"schema_version":"1.0","source":{"id":"1603.05356","kind":"arxiv","version":1}},"canonical_sha256":"655cdd8e788964ddb3132613e8dcbbee63e993adc2a801a56eaf649c2ad9e709","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"655cdd8e788964ddb3132613e8dcbbee63e993adc2a801a56eaf649c2ad9e709","first_computed_at":"2026-05-18T01:18:56.554015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:56.554015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Si/y8grIdKgkCn4XQXHYEWh+N8V0YIIMOrOLdlaiq0Qx0Vl+idhHTdKVOjBz0x7kDF79LiGRExBTylcucFcIBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:56.554695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05356","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ff49bb66394b8a99a77d997caddc82bc95a846626de75660c5a9416b3157d5e","sha256:046326645518e236e6349fb642a8110b4925ec0b028f726e63effe90aaf78997"],"state_sha256":"1b81e6852de2594dd697fa429177c144208a7f9e4cfe7a1ea69aa31fa571ee8b"}