{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZC2A5JIC4X43VFZKKKSDPACSDO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"82857582b704a6c872d3e20bfa5237fd51be69a53de1d8fbddd86894ab1c1471","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-04-30T20:50:44Z","title_canon_sha256":"f3e631938d10dae8f5b342e6354bae0d18c2bea6ab108c04e22b0222dcc1dfec"},"schema_version":"1.0","source":{"id":"1505.00030","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00030","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00030v2","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00030","created_at":"2026-05-18T00:40:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZC2A5JIC4X43","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZC2A5JIC4X43VFZK","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZC2A5JIC","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:17d97f057966b1aa4cae627a1a4062a08a32a39d4223343be993b5274b17fbd9","target":"graph","created_at":"2026-05-18T00:40:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"If a dissipative anisotropic dielectric material, characterized by the permittivity matrix $\\underline{\\underline{\\epsilon}}$, supports Voigt-wave propagation, then so too does the analogous active material characterized by the permittivity matrix $\\underline{\\underline{{\\tilde{\\epsilon}}}}$, where $\\underline{\\underline{{\\tilde{\\epsilon}}}}$ is the hermitian conjugate of $\\underline{\\underline{\\epsilon}}$. Consequently, a dissipative material that supports Voigt-wave propagation can give rise to a material that supports the propagation of Voigt waves with attendant linear gain in amplitude wi","authors_text":"Akhlesh Lakhtakia (Pennsylvania State University), Tom G. Mackay (University of Edinburgh)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-04-30T20:50:44Z","title":"Voigt-wave propagation in active materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00030","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:c5e157d36eca7ae4cc6ed65b81eaae6d34755a6811006954e5a38110e33dc11a","target":"record","created_at":"2026-05-18T00:40:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"82857582b704a6c872d3e20bfa5237fd51be69a53de1d8fbddd86894ab1c1471","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-04-30T20:50:44Z","title_canon_sha256":"f3e631938d10dae8f5b342e6354bae0d18c2bea6ab108c04e22b0222dcc1dfec"},"schema_version":"1.0","source":{"id":"1505.00030","kind":"arxiv","version":2}},"canonical_sha256":"c8b40ea502e5f9ba972a52a43780521bb0ec951d24bddfbf93df10499992285a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8b40ea502e5f9ba972a52a43780521bb0ec951d24bddfbf93df10499992285a","first_computed_at":"2026-05-18T00:40:54.225843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:54.225843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JAHvVHfo76ljQozE3dao2prM7HxxFGMi2s7IAsNdXlF1qidHipvNpU1fgqRLmC39jSc4esdcsRkAKHt/LtKKCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:54.226353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00030","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5e157d36eca7ae4cc6ed65b81eaae6d34755a6811006954e5a38110e33dc11a","sha256:17d97f057966b1aa4cae627a1a4062a08a32a39d4223343be993b5274b17fbd9"],"state_sha256":"2e47d535643e8a9ffc7d5d4cc2f7254efdb7f43e28a3cafff9ad956d2114b823"}