{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7KZIXZXGPHQSKG2VLHTZFELNL6","short_pith_number":"pith:7KZIXZXG","canonical_record":{"source":{"id":"1001.2675","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-15T12:22:19Z","cross_cats_sorted":[],"title_canon_sha256":"3a5040465dbde10b303c759cd2f07bf2feefbb84d2dd29d772777d6237ce9b8b","abstract_canon_sha256":"5a0c5254e839e0022668df65bf1cc1e35a0952b551a3f87746f911f941a0a59a"},"schema_version":"1.0"},"canonical_sha256":"fab28be6e679e1251b5559e792916d5f837527af9e87a06879359dff3010aab8","source":{"kind":"arxiv","id":"1001.2675","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2675","created_at":"2026-05-18T02:09:43Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2675v1","created_at":"2026-05-18T02:09:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2675","created_at":"2026-05-18T02:09:43Z"},{"alias_kind":"pith_short_12","alias_value":"7KZIXZXGPHQS","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7KZIXZXGPHQSKG2V","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7KZIXZXG","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7KZIXZXGPHQSKG2VLHTZFELNL6","target":"record","payload":{"canonical_record":{"source":{"id":"1001.2675","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-15T12:22:19Z","cross_cats_sorted":[],"title_canon_sha256":"3a5040465dbde10b303c759cd2f07bf2feefbb84d2dd29d772777d6237ce9b8b","abstract_canon_sha256":"5a0c5254e839e0022668df65bf1cc1e35a0952b551a3f87746f911f941a0a59a"},"schema_version":"1.0"},"canonical_sha256":"fab28be6e679e1251b5559e792916d5f837527af9e87a06879359dff3010aab8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:09:43.851913Z","signature_b64":"ovLQZhu0ntyoBIrBtWTIkA5pL7xxE3Ggl7i8ub3N/Hq7QmzCWRpcTqB6/EoY9tZLg7PZfNrpn5mPPMJ4KfnbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fab28be6e679e1251b5559e792916d5f837527af9e87a06879359dff3010aab8","last_reissued_at":"2026-05-18T02:09:43.851278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:09:43.851278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.2675","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bXRqfKoE9iZXjNqN0ymcgSuHuwXO14Kbag8N6ZQvu0wukYzJ/LZpIDt5tTCayGu3rZjN4GS+D9pRLqu5NfBMAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:45:59.225632Z"},"content_sha256":"ab9f4038db1a9bc6cf84ca02c73f2f23c9fa38fa0c39072b98948a9d275e6d1c","schema_version":"1.0","event_id":"sha256:ab9f4038db1a9bc6cf84ca02c73f2f23c9fa38fa0c39072b98948a9d275e6d1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7KZIXZXGPHQSKG2VLHTZFELNL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pseudo-Hermiticity and Electromagnetic Wave Propagation in Dispersive Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ali Mostafazadeh","submitted_at":"2010-01-15T12:22:19Z","abstract_excerpt":"Pseudo-Hermitian operators appear in the solution of Maxwell's equations for stationary non-dispersive media with arbitrary (space-dependent) permittivity and permeability tensors. We offer an extension of the results in this direction to certain stationary dispersive media. In particular, we use the WKB approximation to derive an explicit expression for the planar time-harmonic solutions of Maxwell's equations in an inhomogeneous dispersive medium and study the combined affect of inhomogeneity and dispersion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2675","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:09:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T5pdGnMYQqIvTZ9GE67G8iKSzmHk37oOx4j3Iiu/eRd3iyqT29Fm/ihH60MG2RCLjj+H4o/e/TeO1POwnVOxDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:45:59.226264Z"},"content_sha256":"914947cbc8cbff4c6aa7e05af596f1201988d984aa7f81a371f7dc668cdc6982","schema_version":"1.0","event_id":"sha256:914947cbc8cbff4c6aa7e05af596f1201988d984aa7f81a371f7dc668cdc6982"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KZIXZXGPHQSKG2VLHTZFELNL6/bundle.json","state_url":"https://pith.science/pith/7KZIXZXGPHQSKG2VLHTZFELNL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KZIXZXGPHQSKG2VLHTZFELNL6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-29T14:45:59Z","links":{"resolver":"https://pith.science/pith/7KZIXZXGPHQSKG2VLHTZFELNL6","bundle":"https://pith.science/pith/7KZIXZXGPHQSKG2VLHTZFELNL6/bundle.json","state":"https://pith.science/pith/7KZIXZXGPHQSKG2VLHTZFELNL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KZIXZXGPHQSKG2VLHTZFELNL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7KZIXZXGPHQSKG2VLHTZFELNL6","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":"5a0c5254e839e0022668df65bf1cc1e35a0952b551a3f87746f911f941a0a59a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-15T12:22:19Z","title_canon_sha256":"3a5040465dbde10b303c759cd2f07bf2feefbb84d2dd29d772777d6237ce9b8b"},"schema_version":"1.0","source":{"id":"1001.2675","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2675","created_at":"2026-05-18T02:09:43Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2675v1","created_at":"2026-05-18T02:09:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2675","created_at":"2026-05-18T02:09:43Z"},{"alias_kind":"pith_short_12","alias_value":"7KZIXZXGPHQS","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7KZIXZXGPHQSKG2V","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7KZIXZXG","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:914947cbc8cbff4c6aa7e05af596f1201988d984aa7f81a371f7dc668cdc6982","target":"graph","created_at":"2026-05-18T02:09:43Z","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":"Pseudo-Hermitian operators appear in the solution of Maxwell's equations for stationary non-dispersive media with arbitrary (space-dependent) permittivity and permeability tensors. We offer an extension of the results in this direction to certain stationary dispersive media. In particular, we use the WKB approximation to derive an explicit expression for the planar time-harmonic solutions of Maxwell's equations in an inhomogeneous dispersive medium and study the combined affect of inhomogeneity and dispersion.","authors_text":"Ali Mostafazadeh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-15T12:22:19Z","title":"Pseudo-Hermiticity and Electromagnetic Wave Propagation in Dispersive Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2675","kind":"arxiv","version":1},"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:ab9f4038db1a9bc6cf84ca02c73f2f23c9fa38fa0c39072b98948a9d275e6d1c","target":"record","created_at":"2026-05-18T02:09:43Z","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":"5a0c5254e839e0022668df65bf1cc1e35a0952b551a3f87746f911f941a0a59a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-01-15T12:22:19Z","title_canon_sha256":"3a5040465dbde10b303c759cd2f07bf2feefbb84d2dd29d772777d6237ce9b8b"},"schema_version":"1.0","source":{"id":"1001.2675","kind":"arxiv","version":1}},"canonical_sha256":"fab28be6e679e1251b5559e792916d5f837527af9e87a06879359dff3010aab8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fab28be6e679e1251b5559e792916d5f837527af9e87a06879359dff3010aab8","first_computed_at":"2026-05-18T02:09:43.851278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:43.851278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ovLQZhu0ntyoBIrBtWTIkA5pL7xxE3Ggl7i8ub3N/Hq7QmzCWRpcTqB6/EoY9tZLg7PZfNrpn5mPPMJ4KfnbCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:43.851913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2675","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab9f4038db1a9bc6cf84ca02c73f2f23c9fa38fa0c39072b98948a9d275e6d1c","sha256:914947cbc8cbff4c6aa7e05af596f1201988d984aa7f81a371f7dc668cdc6982"],"state_sha256":"8467148b604f6ad5c249cd437dd78c055a8e777ddd629d7a76f671199b04d02f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BMUj8GlZ7y9TOqw4IYG32LRTp2R8XDT9wZF0uDB30izjY+ONbWjxrpwnA/HWG9Gfq3HUHCUbX3mw9M6+zG0IDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:45:59.229384Z","bundle_sha256":"53232518bd752cf844d026023fb29d732f9a62de690ddf4417b043f1400f6a51"}}