{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZOEKAN522J64EPRMBIKJV73VQZ","short_pith_number":"pith:ZOEKAN52","schema_version":"1.0","canonical_sha256":"cb88a037bad27dc23e2c0a149aff75865852de79b66b7bdac09050cd12d7ebb5","source":{"kind":"arxiv","id":"2606.13308","version":1},"attestation_state":"computed","paper":{"title":"Subdivision-based isogeometric analysis for axisymmetric electromagnetic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.CE","authors_text":"Devin Balian, Melina Merkel, Sebastian Sch\\\"ops","submitted_at":"2026-06-11T13:05:30Z","abstract_excerpt":"This paper applies a subdivision-based isogeometric method to solve the axisymmetric Maxwell eigenvalue problem. The reduction to an $H^1$-formulation allows to use a Catmull-Clark construction for both geometry and field discretization. The approach yields a numerical solution for the electric field, which is $C^1$-continuous everywhere except at extraordinary vertices. This is demonstrated by computing the eigenmodes of a TESLA 9-cell cavity, showing smoother fields with less numerical noise than conventional methods. The convergence rate of the method is numerically analyzed and is in agree"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.13308","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2026-06-11T13:05:30Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"beb906a3550c381449324b8056b50bc0c55bfd4835538f994ce4fdac71d99cfa","abstract_canon_sha256":"77191dc81dcb79a2a453cdafba1dc572329349d586746f87f7aba476b6618ef8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T01:09:51.591797Z","signature_b64":"BdIVCl0i0vkElSk6nojxwRlqp8e3cctfkpUY3l18YTkcQGHZcATF/4SaGwuEVbL1ir3X/eD1tb/4b1UOdeSpCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb88a037bad27dc23e2c0a149aff75865852de79b66b7bdac09050cd12d7ebb5","last_reissued_at":"2026-06-12T01:09:51.591199Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T01:09:51.591199Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subdivision-based isogeometric analysis for axisymmetric electromagnetic problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.CE","authors_text":"Devin Balian, Melina Merkel, Sebastian Sch\\\"ops","submitted_at":"2026-06-11T13:05:30Z","abstract_excerpt":"This paper applies a subdivision-based isogeometric method to solve the axisymmetric Maxwell eigenvalue problem. The reduction to an $H^1$-formulation allows to use a Catmull-Clark construction for both geometry and field discretization. The approach yields a numerical solution for the electric field, which is $C^1$-continuous everywhere except at extraordinary vertices. This is demonstrated by computing the eigenmodes of a TESLA 9-cell cavity, showing smoother fields with less numerical noise than conventional methods. The convergence rate of the method is numerically analyzed and is in agree"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13308","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.13308/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.13308","created_at":"2026-06-12T01:09:51.591293+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.13308v1","created_at":"2026-06-12T01:09:51.591293+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13308","created_at":"2026-06-12T01:09:51.591293+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZOEKAN522J64","created_at":"2026-06-12T01:09:51.591293+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZOEKAN522J64EPRM","created_at":"2026-06-12T01:09:51.591293+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZOEKAN52","created_at":"2026-06-12T01:09:51.591293+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ","json":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ.json","graph_json":"https://pith.science/api/pith-number/ZOEKAN522J64EPRMBIKJV73VQZ/graph.json","events_json":"https://pith.science/api/pith-number/ZOEKAN522J64EPRMBIKJV73VQZ/events.json","paper":"https://pith.science/paper/ZOEKAN52"},"agent_actions":{"view_html":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ","download_json":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ.json","view_paper":"https://pith.science/paper/ZOEKAN52","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.13308&json=true","fetch_graph":"https://pith.science/api/pith-number/ZOEKAN522J64EPRMBIKJV73VQZ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZOEKAN522J64EPRMBIKJV73VQZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ/action/storage_attestation","attest_author":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ/action/author_attestation","sign_citation":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ/action/citation_signature","submit_replication":"https://pith.science/pith/ZOEKAN522J64EPRMBIKJV73VQZ/action/replication_record"}},"created_at":"2026-06-12T01:09:51.591293+00:00","updated_at":"2026-06-12T01:09:51.591293+00:00"}