{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7KUJWZHLXMRKOSGXW5IKYYQUD5","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":"250f1e5c946cb9213822ae451ee811cee70f3bf66389f7bb69bc5b92f6af9291","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-03-13T11:33:36Z","title_canon_sha256":"4cbceaff3446fcd5082df5960b4a1f071fcd12b4ad55dbaf98af227a7c861cc1"},"schema_version":"1.0","source":{"id":"1303.3264","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3264","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3264v2","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3264","created_at":"2026-05-18T03:13:12Z"},{"alias_kind":"pith_short_12","alias_value":"7KUJWZHLXMRK","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7KUJWZHLXMRKOSGX","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7KUJWZHL","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:8a787f02900ad48e9e6a26b764fc053b9718c64e15174bdec40027705c2f4085","target":"graph","created_at":"2026-05-18T03:13:12Z","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":"We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability $\\mu (\\mathbf{r}) $ and permittivity $% \\epsilon (\\mathbf{r}) $ to study the wave propagation. The general form of the wave equation is derived and by virtue of some physical assumptions, including $\\mu $ and $\\epsilon $ as functions of $z,$ the equation has been simplified. Finally by introducing a smooth step dielectric variable we solve the wave equation in the corresponding medium which is in conform with the well known results. Exact double-layer solution in analytic form has been given in terms ","authors_text":"Ashkan Roozbeh, M. Halilsoy, S. Habib Mazharimousavi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-03-13T11:33:36Z","title":"Electromagnetic wave propagation through inhomogeneous material layers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3264","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":"sha256:8210ee793d8789c454dc822913b3b0946550fac029ab7e35add4f3dc87c2eeb4","target":"record","created_at":"2026-05-18T03:13:12Z","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":"250f1e5c946cb9213822ae451ee811cee70f3bf66389f7bb69bc5b92f6af9291","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-03-13T11:33:36Z","title_canon_sha256":"4cbceaff3446fcd5082df5960b4a1f071fcd12b4ad55dbaf98af227a7c861cc1"},"schema_version":"1.0","source":{"id":"1303.3264","kind":"arxiv","version":2}},"canonical_sha256":"faa89b64ebbb22a748d7b750ac62141f779c463d298f0ac31cbac8cf531d6cc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faa89b64ebbb22a748d7b750ac62141f779c463d298f0ac31cbac8cf531d6cc8","first_computed_at":"2026-05-18T03:13:12.608258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:12.608258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8RP0cxQFDqXW+C0SiZPFU0vUFXjvhlKxYfV3JHH5sfqTOzSKtoWcEHujE34a26UKWSNOTWv039YBwwRGA5tPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:12.609214Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3264","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8210ee793d8789c454dc822913b3b0946550fac029ab7e35add4f3dc87c2eeb4","sha256:8a787f02900ad48e9e6a26b764fc053b9718c64e15174bdec40027705c2f4085"],"state_sha256":"15da4ead241d9b4dc71229253bca4b80ec14b657712afc7b00ba4ac2c245e569"}