{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NOOARTQNX7IEV5CYUR7R2JYR6J","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":"8a69fc501e0498765afc5ce5d36de0d4ee29f9b199453525a232d31fa62d9ea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-30T12:32:55Z","title_canon_sha256":"0f639f55438e83e5fd9d7fe95359950a9b2c69f3a69211af2d90db4fa7bb6f94"},"schema_version":"1.0","source":{"id":"1807.11315","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.11315","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.11315v1","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.11315","created_at":"2026-05-18T00:09:32Z"},{"alias_kind":"pith_short_12","alias_value":"NOOARTQNX7IE","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NOOARTQNX7IEV5CY","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NOOARTQN","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:116304ec9435e1986279c547d43de0b67dcf7291939902c2a391cc2baaedab12","target":"graph","created_at":"2026-05-18T00:09:32Z","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":"We present convergence results in expectation for stochastic subspace correction schemes and their accelerated versions to solve symmetric positive-definite variational problems, and discuss their potential for achieving fault tolerance in an unreliable compute network. We employ the standard overlapping domain decomposition algorithm for PDE discretizations to discuss the latter aspect.","authors_text":"Michael Griebel, Peter Oswald","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-30T12:32:55Z","title":"Stochastic subspace correction methods and fault tolerance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11315","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":"sha256:3ca9bb016b97bb130278d6687f68f0d2082b1353879a079c6c9f448f95e16946","target":"record","created_at":"2026-05-18T00:09:32Z","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":"8a69fc501e0498765afc5ce5d36de0d4ee29f9b199453525a232d31fa62d9ea5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-30T12:32:55Z","title_canon_sha256":"0f639f55438e83e5fd9d7fe95359950a9b2c69f3a69211af2d90db4fa7bb6f94"},"schema_version":"1.0","source":{"id":"1807.11315","kind":"arxiv","version":1}},"canonical_sha256":"6b9c08ce0dbfd04af458a47f1d2711f25d95aee4065eb1f55a3b8210e5a30fff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b9c08ce0dbfd04af458a47f1d2711f25d95aee4065eb1f55a3b8210e5a30fff","first_computed_at":"2026-05-18T00:09:32.264546Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:32.264546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xa1KZ97w2iHRhJ+hxkpKdLsHnIqxe7rVfakAcz7HqkVx8wGK4FaZx8Cv1cKublTCqov6iMUDhFLbNkwskjXZCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:32.265137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.11315","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ca9bb016b97bb130278d6687f68f0d2082b1353879a079c6c9f448f95e16946","sha256:116304ec9435e1986279c547d43de0b67dcf7291939902c2a391cc2baaedab12"],"state_sha256":"cbe8f7feecdd4f594cff380d9c1a6b4949286b008fdb8f59bf5b3b44cb7009f5"}