{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:EPQQTPXD5ACO67RQRXYDQ2V6SQ","short_pith_number":"pith:EPQQTPXD","schema_version":"1.0","canonical_sha256":"23e109bee3e804ef7e308df0386abe9419a9ee57314947f219a0c3f41cf50144","source":{"kind":"arxiv","id":"1102.3535","version":1},"attestation_state":"computed","paper":{"title":"Energy dispersion relation for negative refraction (NR) materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Y. Ben-Aryeh","submitted_at":"2011-02-17T09:31:01Z","abstract_excerpt":"A general energy dispersion relation is developed for metamaterials having the negative-refraction (NR) property. It is shown that absorption effects are involved with NR phenomena, and the conditions under which NR occurs are discussed. Simple equations for NR are developed using Lorentzian models."},"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":"1102.3535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-02-17T09:31:01Z","cross_cats_sorted":[],"title_canon_sha256":"322a9004777aa46c1909d5404fda5d3b965f5c42076447068db6d306114fa3e2","abstract_canon_sha256":"03cfbc309b04f77c22a211d792157addc8d972f268ee1dd16109b2638dd001cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:10.053637Z","signature_b64":"dG3mDOh2ON1Dm5I1GpN2ul6BsG42iTqZMvVyn/FeN4MlakdE9JxEoyy+SkPFnVHrrC1lNAJzmVEf8C5DpfKiBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23e109bee3e804ef7e308df0386abe9419a9ee57314947f219a0c3f41cf50144","last_reissued_at":"2026-05-18T02:03:10.053101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:10.053101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Energy dispersion relation for negative refraction (NR) materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Y. Ben-Aryeh","submitted_at":"2011-02-17T09:31:01Z","abstract_excerpt":"A general energy dispersion relation is developed for metamaterials having the negative-refraction (NR) property. It is shown that absorption effects are involved with NR phenomena, and the conditions under which NR occurs are discussed. Simple equations for NR are developed using Lorentzian models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.3535","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":"1102.3535","created_at":"2026-05-18T02:03:10.053183+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.3535v1","created_at":"2026-05-18T02:03:10.053183+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.3535","created_at":"2026-05-18T02:03:10.053183+00:00"},{"alias_kind":"pith_short_12","alias_value":"EPQQTPXD5ACO","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"EPQQTPXD5ACO67RQ","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"EPQQTPXD","created_at":"2026-05-18T12:26:28.662955+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/EPQQTPXD5ACO67RQRXYDQ2V6SQ","json":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ.json","graph_json":"https://pith.science/api/pith-number/EPQQTPXD5ACO67RQRXYDQ2V6SQ/graph.json","events_json":"https://pith.science/api/pith-number/EPQQTPXD5ACO67RQRXYDQ2V6SQ/events.json","paper":"https://pith.science/paper/EPQQTPXD"},"agent_actions":{"view_html":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ","download_json":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ.json","view_paper":"https://pith.science/paper/EPQQTPXD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.3535&json=true","fetch_graph":"https://pith.science/api/pith-number/EPQQTPXD5ACO67RQRXYDQ2V6SQ/graph.json","fetch_events":"https://pith.science/api/pith-number/EPQQTPXD5ACO67RQRXYDQ2V6SQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ/action/storage_attestation","attest_author":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ/action/author_attestation","sign_citation":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ/action/citation_signature","submit_replication":"https://pith.science/pith/EPQQTPXD5ACO67RQRXYDQ2V6SQ/action/replication_record"}},"created_at":"2026-05-18T02:03:10.053183+00:00","updated_at":"2026-05-18T02:03:10.053183+00:00"}