{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LACA2FCHULIIMG32S36TJPWZWE","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":"d7dd5bacaf7b0669db2c06dcf8a1a3e4f878c820a92457dd88e6d996015662ff","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-05-17T01:27:06Z","title_canon_sha256":"651195089050a7fa54ee73de2eae7b5ce960592483bf53b24f18fcb9542306cd"},"schema_version":"1.0","source":{"id":"1405.4336","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4336","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4336v1","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4336","created_at":"2026-05-18T01:43:11Z"},{"alias_kind":"pith_short_12","alias_value":"LACA2FCHULII","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"LACA2FCHULIIMG32","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"LACA2FCH","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:17289eca97a2d5b39459bf324596cc6e45e3208db24d4b5b20fc69bc65d5ee5f","target":"graph","created_at":"2026-05-18T01:43:11Z","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":"This paper presents high-order integral equation methods for evaluation of electromagnetic wave scattering by dielectric bumps and dielectric cavities on perfectly conducting or dielectric half-planes. In detail, the algorithms introduced in this paper apply to eight classical scattering problems, namely: scattering by a dielectric bump on a perfectly conducting or a dielectric half-plane, and scattering by a filled, overfilled or void dielectric cavity on a perfectly conducting or a dielectric half-plane. In all cases field representations based on single-layer potentials for appropriately ch","authors_text":"Carlos P\\'erez-Arancibia, Oscar P. Bruno","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-05-17T01:27:06Z","title":"High-order integral equation methods for problems of scattering by bumps and cavities on half-planes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4336","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":"sha256:6d6f2047d320ee1ce855b78847d1114a31e595f9ee32e06cf2611dc5a72d9e9d","target":"record","created_at":"2026-05-18T01:43:11Z","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":"d7dd5bacaf7b0669db2c06dcf8a1a3e4f878c820a92457dd88e6d996015662ff","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-05-17T01:27:06Z","title_canon_sha256":"651195089050a7fa54ee73de2eae7b5ce960592483bf53b24f18fcb9542306cd"},"schema_version":"1.0","source":{"id":"1405.4336","kind":"arxiv","version":1}},"canonical_sha256":"58040d1447a2d0861b7a96fd34bed9b10269b7c6df47f7aa15fb228cb5297f6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58040d1447a2d0861b7a96fd34bed9b10269b7c6df47f7aa15fb228cb5297f6e","first_computed_at":"2026-05-18T01:43:11.434449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:11.434449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EBCsv9N/OnAy4Wy18fiz4mKhXSF00MQPwj1zRA07Ik8lvdQLQFmhAzFbhRt5qdcKOGHMrekRIdbjRL62mk1rCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:11.435063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4336","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d6f2047d320ee1ce855b78847d1114a31e595f9ee32e06cf2611dc5a72d9e9d","sha256:17289eca97a2d5b39459bf324596cc6e45e3208db24d4b5b20fc69bc65d5ee5f"],"state_sha256":"926f498375cb3565ec7009260975f2c787786979980d725873ed5c9e90d48d73"}