{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:S3UWJ2ZZKYF736LHCOK53FB434","short_pith_number":"pith:S3UWJ2ZZ","schema_version":"1.0","canonical_sha256":"96e964eb39560bfdf9671395dd943cdf08236b1e30ed5535d986373a8487c58b","source":{"kind":"arxiv","id":"1712.02863","version":1},"attestation_state":"computed","paper":{"title":"Double-negative electromagnetic metamaterials due to chirality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Habib Ammari, Sanghyeon Yu, Wei Wu","submitted_at":"2017-12-07T21:20:30Z","abstract_excerpt":"The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in chiral materials. The design of double-negative metamaterials generally requires the use of two different kinds of subwavelength resonators, which may limit the applicability of double-negative metamaterials. Herein, we rely on media that consist of only a single type of dielectric resonant element, and show how the chirality of the background medium induces double-negative refractive index metamaterial, which refracts waves negatively, hence actin"},"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":"1712.02863","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-12-07T21:20:30Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"e45c61777e8a864e79aae2d511faff8e3c7fc760e3ceaaa8a0ac72320d9ac0aa","abstract_canon_sha256":"0d3595af7907e638294fe1e05c72967b5801098148de7a6c581df24ce4e700f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:29.046598Z","signature_b64":"eedY1VgOxrJqm+buRnXqMhKGvy4SmTAUsYLeaa7d8Ms6892Cdk13af5WCHRq8809HQ1Iq4DWfkXpYsjWHqWBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96e964eb39560bfdf9671395dd943cdf08236b1e30ed5535d986373a8487c58b","last_reissued_at":"2026-05-18T00:28:29.045763Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:29.045763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double-negative electromagnetic metamaterials due to chirality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Habib Ammari, Sanghyeon Yu, Wei Wu","submitted_at":"2017-12-07T21:20:30Z","abstract_excerpt":"The aim of this paper is to provide a mathematical theory for understanding the mechanism behind the double-negative refractive index phenomenon in chiral materials. The design of double-negative metamaterials generally requires the use of two different kinds of subwavelength resonators, which may limit the applicability of double-negative metamaterials. Herein, we rely on media that consist of only a single type of dielectric resonant element, and show how the chirality of the background medium induces double-negative refractive index metamaterial, which refracts waves negatively, hence actin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02863","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":"1712.02863","created_at":"2026-05-18T00:28:29.045898+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.02863v1","created_at":"2026-05-18T00:28:29.045898+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02863","created_at":"2026-05-18T00:28:29.045898+00:00"},{"alias_kind":"pith_short_12","alias_value":"S3UWJ2ZZKYF7","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"S3UWJ2ZZKYF736LH","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"S3UWJ2ZZ","created_at":"2026-05-18T12:31:43.269735+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/S3UWJ2ZZKYF736LHCOK53FB434","json":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434.json","graph_json":"https://pith.science/api/pith-number/S3UWJ2ZZKYF736LHCOK53FB434/graph.json","events_json":"https://pith.science/api/pith-number/S3UWJ2ZZKYF736LHCOK53FB434/events.json","paper":"https://pith.science/paper/S3UWJ2ZZ"},"agent_actions":{"view_html":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434","download_json":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434.json","view_paper":"https://pith.science/paper/S3UWJ2ZZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.02863&json=true","fetch_graph":"https://pith.science/api/pith-number/S3UWJ2ZZKYF736LHCOK53FB434/graph.json","fetch_events":"https://pith.science/api/pith-number/S3UWJ2ZZKYF736LHCOK53FB434/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434/action/storage_attestation","attest_author":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434/action/author_attestation","sign_citation":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434/action/citation_signature","submit_replication":"https://pith.science/pith/S3UWJ2ZZKYF736LHCOK53FB434/action/replication_record"}},"created_at":"2026-05-18T00:28:29.045898+00:00","updated_at":"2026-05-18T00:28:29.045898+00:00"}