{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VBGBDA2J2FLCY5IHR6L5OGF6VN","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":"e0baa8274540223c8043048af08d27f0b5baf8e584a3ef246d83160f3cefbfdd","cross_cats_sorted":["cs.NA","math.NA","physics.acc-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2018-02-08T17:40:03Z","title_canon_sha256":"06b3d74d34bd77c5cda16b231c1130cf86826d2eef4e8d2408bdeb8dc87119f8"},"schema_version":"1.0","source":{"id":"1802.02978","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02978","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02978v3","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02978","created_at":"2026-05-17T23:49:17Z"},{"alias_kind":"pith_short_12","alias_value":"VBGBDA2J2FLC","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VBGBDA2J2FLCY5IH","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VBGBDA2J","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:f781499a1531a184da283cfd878e5e978f78c72aaa719b6b5bb6285558a5a53d","target":"graph","created_at":"2026-05-17T23:49:17Z","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 electromagnetic field distribution as well as the resonating frequency of various modes in superconducting cavities used in particle accelerators for example are sensitive to small geometry deformations. The occurring variations are motivated by measurements of an available set of resonators from which we propose to extract a small number of relevant and independent deformations by using a truncated Karhunen-Lo\\`eve expansion. The random deformations are used in an expressive uncertainty quantification workflow to determine the sensitivity of the eigenmodes. For the propagation of uncertai","authors_text":"Jacopo Corno, Niklas Georg, Sebastian Sch\\\"ops, Wolfgang Ackermann","cross_cats":["cs.NA","math.NA","physics.acc-ph","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2018-02-08T17:40:03Z","title":"Uncertainty Quantification for Maxwell's Eigenproblem based on Isogeometric Analysis and Mode Tracking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02978","kind":"arxiv","version":3},"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":"sha256:3b8b83263e9c48392f3691b5520a10e44fd9b1dae6ad565985f342436a4a9fc3","target":"record","created_at":"2026-05-17T23:49:17Z","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":"e0baa8274540223c8043048af08d27f0b5baf8e584a3ef246d83160f3cefbfdd","cross_cats_sorted":["cs.NA","math.NA","physics.acc-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2018-02-08T17:40:03Z","title_canon_sha256":"06b3d74d34bd77c5cda16b231c1130cf86826d2eef4e8d2408bdeb8dc87119f8"},"schema_version":"1.0","source":{"id":"1802.02978","kind":"arxiv","version":3}},"canonical_sha256":"a84c118349d1562c75078f97d718beab5cade324b9a3ae0656de7988b9cb1143","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a84c118349d1562c75078f97d718beab5cade324b9a3ae0656de7988b9cb1143","first_computed_at":"2026-05-17T23:49:17.787396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:17.787396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RutwgX++0NvW5kDdQjhq+w5oUQe+OU6jUpxWysFiNT5nbOa4145Ttimbtcxbtxc+U0U/ItybNWLBCJJP0RJuAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:17.787975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.02978","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b8b83263e9c48392f3691b5520a10e44fd9b1dae6ad565985f342436a4a9fc3","sha256:f781499a1531a184da283cfd878e5e978f78c72aaa719b6b5bb6285558a5a53d"],"state_sha256":"07e15357378b7df513751d4757ddad214d1ca2ae6b7a4e0a87e625956270fa22"}