{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YJVTXXJ7K3XAMLSCK2EEAAJHD6","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":"210877a6799c414b28d401aa65383de267a8df5cd7d790f1f2ecec1b8822fd72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-06T16:36:43Z","title_canon_sha256":"9f624bcc769d19ddf2c97accb3dc82f33a1d4d91667bef0dcd130804b7bd46f3"},"schema_version":"1.0","source":{"id":"1711.01998","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01998","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01998v1","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01998","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"pith_short_12","alias_value":"YJVTXXJ7K3XA","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YJVTXXJ7K3XAMLSC","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YJVTXXJ7","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:b9c5828210e242661236fa9ad208dc90d5ca6d712d83f4fa83b02a76d51fd237","target":"graph","created_at":"2026-05-18T00:31:16Z","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":"Numerical approximation of a stochastic partial integro-differential equation driven by a space- time white noise is studied by truncating a series representation of the noise, with finite element method for spatial discretization and convolution quadrature for time discretization. Sharp-order convergence of the numerical solutions is proved up to a logarithmic factor. Numerical examples are provided to support the theoretical analysis.","authors_text":"Buyang Li, Jilu Wang, Max Gunzburger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-06T16:36:43Z","title":"Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01998","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":"sha256:07cbde2774002f433e85f900bae38eb47f4da0b7f1d030e088114f624ab97a45","target":"record","created_at":"2026-05-18T00:31:16Z","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":"210877a6799c414b28d401aa65383de267a8df5cd7d790f1f2ecec1b8822fd72","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-11-06T16:36:43Z","title_canon_sha256":"9f624bcc769d19ddf2c97accb3dc82f33a1d4d91667bef0dcd130804b7bd46f3"},"schema_version":"1.0","source":{"id":"1711.01998","kind":"arxiv","version":1}},"canonical_sha256":"c26b3bdd3f56ee062e4256884001271fb2eba172ba69423b3c22a2687a2a043a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c26b3bdd3f56ee062e4256884001271fb2eba172ba69423b3c22a2687a2a043a","first_computed_at":"2026-05-18T00:31:16.378014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:16.378014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"95yj7ch2KuEgSsKNe9StOx0us8ibMCMqmW0a0k79edXTQguCrtJxwre0zch77IxaC6MZ4I+Or8X4rks0eHiNBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:16.378484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01998","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:07cbde2774002f433e85f900bae38eb47f4da0b7f1d030e088114f624ab97a45","sha256:b9c5828210e242661236fa9ad208dc90d5ca6d712d83f4fa83b02a76d51fd237"],"state_sha256":"1d7641b5895f53c6919324f4325b6d3fda708d2acb2614d319a6c6556fe6545f"}