{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:AMTVFZQRGSW2L5G4IYYXSS3EKR","short_pith_number":"pith:AMTVFZQR","schema_version":"1.0","canonical_sha256":"032752e61134ada5f4dc4631794b64545ef82a59e40f4cfce9ba6ea8c3acf027","source":{"kind":"arxiv","id":"1007.4363","version":1},"attestation_state":"computed","paper":{"title":"Approaches to Three-Dimensional Transformation Optical Media Using Quasi-Conformal Coordinate Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"D. R. Smith, N. I. Landy, N. Kundtz","submitted_at":"2010-07-26T00:37:47Z","abstract_excerpt":"We introduce an approach to the design of three-dimensional transformation optical (TO) media based on a generalized quasi-conformal mapping approach. The generalized quasi-conformal TO (QCTO) approach enables the design of media that can, in principle, be broadband and low-loss, while controlling the propagation of waves with arbitrary angles of incidence and polarization. We illustrate the method in the design of a three-dimensional \"carpet\" ground plane cloak and of a flattened Luneburg lens. Ray-trace studies provide a confirmation of the performance of the QCTO media, while also revealing"},"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":"1007.4363","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-07-26T00:37:47Z","cross_cats_sorted":[],"title_canon_sha256":"28fefe5d794800b52679bf4f3e7d7bfe46bbffa879d076d199feae00257e3d2d","abstract_canon_sha256":"9754943223c57db3f3bcadb2f4ec9b357208beaf5c72d9be4d9fe898bcc5bc82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.087687Z","signature_b64":"w12cF9DTgUUY7YBnVFBAxYW+4/T6mE6WMW/ul+WQaUD8urOTJULcnMqejF+ny1s2zpcnEqTD+bonl7ihu+QiBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"032752e61134ada5f4dc4631794b64545ef82a59e40f4cfce9ba6ea8c3acf027","last_reissued_at":"2026-05-18T03:23:48.087169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.087169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approaches to Three-Dimensional Transformation Optical Media Using Quasi-Conformal Coordinate Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"D. R. Smith, N. I. Landy, N. Kundtz","submitted_at":"2010-07-26T00:37:47Z","abstract_excerpt":"We introduce an approach to the design of three-dimensional transformation optical (TO) media based on a generalized quasi-conformal mapping approach. The generalized quasi-conformal TO (QCTO) approach enables the design of media that can, in principle, be broadband and low-loss, while controlling the propagation of waves with arbitrary angles of incidence and polarization. We illustrate the method in the design of a three-dimensional \"carpet\" ground plane cloak and of a flattened Luneburg lens. Ray-trace studies provide a confirmation of the performance of the QCTO media, while also revealing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4363","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":""},"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":"1007.4363","created_at":"2026-05-18T03:23:48.087247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.4363v1","created_at":"2026-05-18T03:23:48.087247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4363","created_at":"2026-05-18T03:23:48.087247+00:00"},{"alias_kind":"pith_short_12","alias_value":"AMTVFZQRGSW2","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"AMTVFZQRGSW2L5G4","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"AMTVFZQR","created_at":"2026-05-18T12:26:05.355336+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/AMTVFZQRGSW2L5G4IYYXSS3EKR","json":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR.json","graph_json":"https://pith.science/api/pith-number/AMTVFZQRGSW2L5G4IYYXSS3EKR/graph.json","events_json":"https://pith.science/api/pith-number/AMTVFZQRGSW2L5G4IYYXSS3EKR/events.json","paper":"https://pith.science/paper/AMTVFZQR"},"agent_actions":{"view_html":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR","download_json":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR.json","view_paper":"https://pith.science/paper/AMTVFZQR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.4363&json=true","fetch_graph":"https://pith.science/api/pith-number/AMTVFZQRGSW2L5G4IYYXSS3EKR/graph.json","fetch_events":"https://pith.science/api/pith-number/AMTVFZQRGSW2L5G4IYYXSS3EKR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR/action/storage_attestation","attest_author":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR/action/author_attestation","sign_citation":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR/action/citation_signature","submit_replication":"https://pith.science/pith/AMTVFZQRGSW2L5G4IYYXSS3EKR/action/replication_record"}},"created_at":"2026-05-18T03:23:48.087247+00:00","updated_at":"2026-05-18T03:23:48.087247+00:00"}