{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JZAIMIZFJMJFDAYK3CLB2RMTB6","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":"af9293fa00ad4be1896beb4b95861a77fba401315e58eb648593dceb48014d3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-23T16:53:55Z","title_canon_sha256":"55cb9acb9965dcb164ccc7c5eb9c44cc9762ade88af8dcc3183896b767f2c00d"},"schema_version":"1.0","source":{"id":"1702.07290","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07290","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07290v2","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07290","created_at":"2026-05-18T00:34:31Z"},{"alias_kind":"pith_short_12","alias_value":"JZAIMIZFJMJF","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JZAIMIZFJMJFDAYK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JZAIMIZF","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:4d4df98420934c82afe551f3212887b7b1676f55202566fd59bf5e327424ee5a","target":"graph","created_at":"2026-05-18T00:34:31Z","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":"In this paper, we introduce and analyse a surface finite element discretization of advection-diffusion equations with uncertain coefficients on evolving hypersurfaces. After stating unique solvability of the resulting semi-discrete problem, we prove optimal error bounds for the semi-discrete solution and Monte Carlo samplings of its expectation in appropriate Bochner spaces. Our theoretical findings are illustrated by numerical experiments in two and three space dimensions.","authors_text":"Ana Djurdjevac, Charles M. Elliott, Ralf Kornhuber, Thomas Ranner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-23T16:53:55Z","title":"Evolving surface finite element methods for random advection-diffusion equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07290","kind":"arxiv","version":2},"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":"sha256:0f7bbff3c747ab3ac8cb94a58df0a6425c817a37c43f64eacb90ec917f8db864","target":"record","created_at":"2026-05-18T00:34:31Z","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":"af9293fa00ad4be1896beb4b95861a77fba401315e58eb648593dceb48014d3a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-23T16:53:55Z","title_canon_sha256":"55cb9acb9965dcb164ccc7c5eb9c44cc9762ade88af8dcc3183896b767f2c00d"},"schema_version":"1.0","source":{"id":"1702.07290","kind":"arxiv","version":2}},"canonical_sha256":"4e408623254b1251830ad8961d45930f88ad4e4965f47089fceafafeb426e655","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e408623254b1251830ad8961d45930f88ad4e4965f47089fceafafeb426e655","first_computed_at":"2026-05-18T00:34:31.187145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:31.187145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzWCiVJGb4LyBk2bguheRNoTIifAI/n+IG9SP4vqd8hCVNYJVzyYmv8dIRdAmyxgm7ouZtQsM7i2qangLnjVDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:31.187575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07290","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f7bbff3c747ab3ac8cb94a58df0a6425c817a37c43f64eacb90ec917f8db864","sha256:4d4df98420934c82afe551f3212887b7b1676f55202566fd59bf5e327424ee5a"],"state_sha256":"a7f4500233d03fd910e328896ee4cc9a886990d6419a3580f367699ee4afc63d"}