{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:STXSUKQTLJCDCYVNQGLCOEPFZU","short_pith_number":"pith:STXSUKQT","schema_version":"1.0","canonical_sha256":"94ef2a2a135a443162ad81962711e5cd24305b35f8366354a5840132f0d31a9e","source":{"kind":"arxiv","id":"1210.7629","version":2},"attestation_state":"computed","paper":{"title":"PT Metamaterials via Complex-Coordinate Transformation Optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Andrea Alu', Giuseppe Castaldi, Nader Engheta, Silvio Savoia, Vincenzo Galdi","submitted_at":"2012-10-29T11:50:36Z","abstract_excerpt":"We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric metamaterials. We apply this general theory to complex-source-point radiation and anisotropic transmission resonances, illustrating the capability and potentials of our approach in terms of systematic design, analytical modeling and physical insights into complex-coordinate wave-objects and resonant states."},"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":"1210.7629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-29T11:50:36Z","cross_cats_sorted":[],"title_canon_sha256":"8211051f69a931a851e17ab2901a08eeaebaa07955128ab72077a1066d1237f6","abstract_canon_sha256":"53abb12afde4741fc18d7185787beff520948252c1f6f634c985e235a802f518"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:36.426715Z","signature_b64":"RsAKQKmpeOTkCFSGxs5rZM79QLlwPmxg9uO7AaSZC4uQkkCZ/MwClkxnGG5wwABb29z8ZSvk0vNISU5PCjOkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94ef2a2a135a443162ad81962711e5cd24305b35f8366354a5840132f0d31a9e","last_reissued_at":"2026-05-18T01:53:36.426034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:36.426034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"PT Metamaterials via Complex-Coordinate Transformation Optics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Andrea Alu', Giuseppe Castaldi, Nader Engheta, Silvio Savoia, Vincenzo Galdi","submitted_at":"2012-10-29T11:50:36Z","abstract_excerpt":"We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric metamaterials. We apply this general theory to complex-source-point radiation and anisotropic transmission resonances, illustrating the capability and potentials of our approach in terms of systematic design, analytical modeling and physical insights into complex-coordinate wave-objects and resonant states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7629","kind":"arxiv","version":2},"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":"1210.7629","created_at":"2026-05-18T01:53:36.426142+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.7629v2","created_at":"2026-05-18T01:53:36.426142+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7629","created_at":"2026-05-18T01:53:36.426142+00:00"},{"alias_kind":"pith_short_12","alias_value":"STXSUKQTLJCD","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"STXSUKQTLJCDCYVN","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"STXSUKQT","created_at":"2026-05-18T12:27:23.164592+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/STXSUKQTLJCDCYVNQGLCOEPFZU","json":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU.json","graph_json":"https://pith.science/api/pith-number/STXSUKQTLJCDCYVNQGLCOEPFZU/graph.json","events_json":"https://pith.science/api/pith-number/STXSUKQTLJCDCYVNQGLCOEPFZU/events.json","paper":"https://pith.science/paper/STXSUKQT"},"agent_actions":{"view_html":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU","download_json":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU.json","view_paper":"https://pith.science/paper/STXSUKQT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.7629&json=true","fetch_graph":"https://pith.science/api/pith-number/STXSUKQTLJCDCYVNQGLCOEPFZU/graph.json","fetch_events":"https://pith.science/api/pith-number/STXSUKQTLJCDCYVNQGLCOEPFZU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU/action/storage_attestation","attest_author":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU/action/author_attestation","sign_citation":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU/action/citation_signature","submit_replication":"https://pith.science/pith/STXSUKQTLJCDCYVNQGLCOEPFZU/action/replication_record"}},"created_at":"2026-05-18T01:53:36.426142+00:00","updated_at":"2026-05-18T01:53:36.426142+00:00"}