{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3V7FP3QSKLP4AIZZQV7RV376GI","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":"0ce7b710a76fb2d757417243bd9cc10fa017d39a7b1e90c05a41e1d314a9903b","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-04-27T03:09:24Z","title_canon_sha256":"cfa950863dfae528922af4b7dd5112dead0b78895c9a6a805a376c9f725b286b"},"schema_version":"1.0","source":{"id":"2105.00853","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.00853","created_at":"2026-07-05T03:26:16Z"},{"alias_kind":"arxiv_version","alias_value":"2105.00853v2","created_at":"2026-07-05T03:26:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.00853","created_at":"2026-07-05T03:26:16Z"},{"alias_kind":"pith_short_12","alias_value":"3V7FP3QSKLP4","created_at":"2026-07-05T03:26:16Z"},{"alias_kind":"pith_short_16","alias_value":"3V7FP3QSKLP4AIZZ","created_at":"2026-07-05T03:26:16Z"},{"alias_kind":"pith_short_8","alias_value":"3V7FP3QS","created_at":"2026-07-05T03:26:16Z"}],"graph_snapshots":[{"event_id":"sha256:c79dff2def7e3782a237844a6bad29ca931ec5a230c0dc26b687403380e9a7d2","target":"graph","created_at":"2026-07-05T03:26:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2105.00853/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes an isogeometric boundary element method (IGBEM) to solve the electromagnetic scattering problems for three-dimensional doubly-periodic multi-layered structures. The main concerns are the constructions of (i) an open surface (between two layers) and (ii) a vector basis function with using the B-spline functions. Regarding (i), we considered an algorithm to generate a doubly-periodic open surface with the tensor product of the B-spline functions of any degree. Regarding (ii), we employed the vector basis function based on the B-spline functions, which was proposed by Buffa et","authors_text":"Hiroshi Isakari, Tetsuro Hirai, Toru Takahashi, Toshiro Matsumoto","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-04-27T03:09:24Z","title":"An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.00853","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":"sha256:2a1f284cc007f1f38a728e9ba24929050e652ccccbe0fa60615f8010b03b00e9","target":"record","created_at":"2026-07-05T03:26:16Z","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":"0ce7b710a76fb2d757417243bd9cc10fa017d39a7b1e90c05a41e1d314a9903b","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2021-04-27T03:09:24Z","title_canon_sha256":"cfa950863dfae528922af4b7dd5112dead0b78895c9a6a805a376c9f725b286b"},"schema_version":"1.0","source":{"id":"2105.00853","kind":"arxiv","version":2}},"canonical_sha256":"dd7e57ee1252dfc02339857f1aeffe3230e8ac98f6ea93ed949b7eb3f8a7b2fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd7e57ee1252dfc02339857f1aeffe3230e8ac98f6ea93ed949b7eb3f8a7b2fb","first_computed_at":"2026-07-05T03:26:16.728612Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:26:16.728612Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mx00qf8GRBORcyOI6Drvdn6Xl7AP/WRO8CJ10wq0Ahz5tiQAcWdzxprZ1Q8Qgva2FlKgimCF8xqRZyWSec1ECg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:26:16.729184Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.00853","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a1f284cc007f1f38a728e9ba24929050e652ccccbe0fa60615f8010b03b00e9","sha256:c79dff2def7e3782a237844a6bad29ca931ec5a230c0dc26b687403380e9a7d2"],"state_sha256":"0d772ac9e728688bcd2c603fd344721c4c5b427914d4814647e9f5629cbf91af"}