{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:GLZEK6L2PQBU6GRFJW3TPR5BQ2","short_pith_number":"pith:GLZEK6L2","schema_version":"1.0","canonical_sha256":"32f245797a7c034f1a254db737c7a186af06bd385d3a75ddd984ff8d2e3f6435","source":{"kind":"arxiv","id":"0711.0507","version":3},"attestation_state":"computed","paper":{"title":"A rigorous analysis of high order electromagnetic invisibility cloaks","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Ricardo Weder","submitted_at":"2007-11-04T10:26:57Z","abstract_excerpt":"There is currently a great deal of interest in the invisibility cloaks recently proposed by Pendry et al. that are based in the transformation approach. They obtained their results using first order transformations. In recent papers Hendi et al. and Cai et al. considered invisibility cloaks with high order transformations. In this paper we study high order electromagnetic invisibility cloaks in transformation media obtained by high order transformations from general anisotropic media. We consider the case where there is a finite number of spherical cloaks located in different points in space. "},"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":"0711.0507","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"physics.optics","submitted_at":"2007-11-04T10:26:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0c701a98a65bbd9b9fe3bff190066f630b74c0c349761401ab5e0e6e89a41a3f","abstract_canon_sha256":"af9de0a439c32a9f1ba395664e23c5b3ee59f9c9f0709ac020950bce59802b78"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:06:30.948828Z","signature_b64":"6/4X3Rza4wsNuhtOs+3f3QlNpEUGNIVVpcYYQ/qBiJOxDnmI/yYnfIFyKCSjUuaT3W6hA93yOPVBLTq5ONMODA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32f245797a7c034f1a254db737c7a186af06bd385d3a75ddd984ff8d2e3f6435","last_reissued_at":"2026-07-04T17:06:30.948424Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:06:30.948424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A rigorous analysis of high order electromagnetic invisibility cloaks","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Ricardo Weder","submitted_at":"2007-11-04T10:26:57Z","abstract_excerpt":"There is currently a great deal of interest in the invisibility cloaks recently proposed by Pendry et al. that are based in the transformation approach. They obtained their results using first order transformations. In recent papers Hendi et al. and Cai et al. considered invisibility cloaks with high order transformations. In this paper we study high order electromagnetic invisibility cloaks in transformation media obtained by high order transformations from general anisotropic media. We consider the case where there is a finite number of spherical cloaks located in different points in space. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.0507","kind":"arxiv","version":3},"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/0711.0507/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":"0711.0507","created_at":"2026-07-04T17:06:30.948478+00:00"},{"alias_kind":"arxiv_version","alias_value":"0711.0507v3","created_at":"2026-07-04T17:06:30.948478+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.0507","created_at":"2026-07-04T17:06:30.948478+00:00"},{"alias_kind":"pith_short_12","alias_value":"GLZEK6L2PQBU","created_at":"2026-07-04T17:06:30.948478+00:00"},{"alias_kind":"pith_short_16","alias_value":"GLZEK6L2PQBU6GRF","created_at":"2026-07-04T17:06:30.948478+00:00"},{"alias_kind":"pith_short_8","alias_value":"GLZEK6L2","created_at":"2026-07-04T17:06:30.948478+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/GLZEK6L2PQBU6GRFJW3TPR5BQ2","json":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2.json","graph_json":"https://pith.science/api/pith-number/GLZEK6L2PQBU6GRFJW3TPR5BQ2/graph.json","events_json":"https://pith.science/api/pith-number/GLZEK6L2PQBU6GRFJW3TPR5BQ2/events.json","paper":"https://pith.science/paper/GLZEK6L2"},"agent_actions":{"view_html":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2","download_json":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2.json","view_paper":"https://pith.science/paper/GLZEK6L2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0711.0507&json=true","fetch_graph":"https://pith.science/api/pith-number/GLZEK6L2PQBU6GRFJW3TPR5BQ2/graph.json","fetch_events":"https://pith.science/api/pith-number/GLZEK6L2PQBU6GRFJW3TPR5BQ2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2/action/storage_attestation","attest_author":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2/action/author_attestation","sign_citation":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2/action/citation_signature","submit_replication":"https://pith.science/pith/GLZEK6L2PQBU6GRFJW3TPR5BQ2/action/replication_record"}},"created_at":"2026-07-04T17:06:30.948478+00:00","updated_at":"2026-07-04T17:06:30.948478+00:00"}