{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VNWKSCBOOQMSFOUULGZW3FJQPW","short_pith_number":"pith:VNWKSCBO","canonical_record":{"source":{"id":"1503.00152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-28T16:20:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"dcdfbc3cfbe7d07b697e96ed3455ca216f35443f73e79d579f6569c189b24d2a","abstract_canon_sha256":"7391d33ae24fd954046858846494ce76ac3583e687748637910ee1638bff6e01"},"schema_version":"1.0"},"canonical_sha256":"ab6ca9082e741922ba9459b36d95307d8558424d35ccc8855132924cdbe7a850","source":{"kind":"arxiv","id":"1503.00152","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00152","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00152v1","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00152","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"VNWKSCBOOQMS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VNWKSCBOOQMSFOUU","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VNWKSCBO","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VNWKSCBOOQMSFOUULGZW3FJQPW","target":"record","payload":{"canonical_record":{"source":{"id":"1503.00152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-28T16:20:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"dcdfbc3cfbe7d07b697e96ed3455ca216f35443f73e79d579f6569c189b24d2a","abstract_canon_sha256":"7391d33ae24fd954046858846494ce76ac3583e687748637910ee1638bff6e01"},"schema_version":"1.0"},"canonical_sha256":"ab6ca9082e741922ba9459b36d95307d8558424d35ccc8855132924cdbe7a850","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:55.046450Z","signature_b64":"TWr20mOYzxHfTRP9p/gFBcwd7CyK9mIW+r+5NzrBtPtbBayP/NyoWw0UA88O38zYvszsk+LQMD2GPl1/mo3IAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab6ca9082e741922ba9459b36d95307d8558424d35ccc8855132924cdbe7a850","last_reissued_at":"2026-05-18T02:25:55.046001Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:55.046001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.00152","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":"2026-05-18T02:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j6g/rue2SvXC3fVDvlfK4/rSHg+xQH2iq6uuUBkFCmlWKRIYrWiNi+zBleqEDqbjr3PJDwyyq57cD32VMSlcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:11:00.990056Z"},"content_sha256":"bd46f86bf3d40aa4c03423516aacc3baf5c49d8bff2d6185b0cfd0349b23e28f","schema_version":"1.0","event_id":"sha256:bd46f86bf3d40aa4c03423516aacc3baf5c49d8bff2d6185b0cfd0349b23e28f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VNWKSCBOOQMSFOUULGZW3FJQPW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-reflecting permittivity profiles and the spatial Kramers-Kronig relations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"G. C. La Rocca, M. Artoni, S. A. R. Horsley","submitted_at":"2015-02-28T16:20:20Z","abstract_excerpt":"We show that if the permittivity profile of a planar dielectric medium is an analytic function in the upper (lower) half complex position plane then it won't reflect radiation from the left (right), whatever the angle of incidence. Consequently, using the spatial Kramers-Kronig relations one can derive a real part of a permittivity profile from some given imaginary part (or vice versa), such that the reflection is guaranteed to be zero. This result is valid for both scalar and vector wave theories, and may have relevance for efficiently absorbing radiation, or reducing reflection from bodies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00152","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":"2026-05-18T02:25:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hm2c3PJ5yXqwsM8dXoQfohmSXSVhSCMWYOM8aEUpRoobn7uneyLsblusYr/G+wxRxh0p+B+3DSrC2XmXSxpIDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T11:11:00.990719Z"},"content_sha256":"366f427ad19ed5a971b4b6c51f2f8810cecc2508d42a0b6932d68e1ef62467e4","schema_version":"1.0","event_id":"sha256:366f427ad19ed5a971b4b6c51f2f8810cecc2508d42a0b6932d68e1ef62467e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VNWKSCBOOQMSFOUULGZW3FJQPW/bundle.json","state_url":"https://pith.science/pith/VNWKSCBOOQMSFOUULGZW3FJQPW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VNWKSCBOOQMSFOUULGZW3FJQPW/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":"2026-05-25T11:11:00Z","links":{"resolver":"https://pith.science/pith/VNWKSCBOOQMSFOUULGZW3FJQPW","bundle":"https://pith.science/pith/VNWKSCBOOQMSFOUULGZW3FJQPW/bundle.json","state":"https://pith.science/pith/VNWKSCBOOQMSFOUULGZW3FJQPW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VNWKSCBOOQMSFOUULGZW3FJQPW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VNWKSCBOOQMSFOUULGZW3FJQPW","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":"7391d33ae24fd954046858846494ce76ac3583e687748637910ee1638bff6e01","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-28T16:20:20Z","title_canon_sha256":"dcdfbc3cfbe7d07b697e96ed3455ca216f35443f73e79d579f6569c189b24d2a"},"schema_version":"1.0","source":{"id":"1503.00152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00152","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00152v1","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00152","created_at":"2026-05-18T02:25:55Z"},{"alias_kind":"pith_short_12","alias_value":"VNWKSCBOOQMS","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"VNWKSCBOOQMSFOUU","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"VNWKSCBO","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:366f427ad19ed5a971b4b6c51f2f8810cecc2508d42a0b6932d68e1ef62467e4","target":"graph","created_at":"2026-05-18T02:25:55Z","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 show that if the permittivity profile of a planar dielectric medium is an analytic function in the upper (lower) half complex position plane then it won't reflect radiation from the left (right), whatever the angle of incidence. Consequently, using the spatial Kramers-Kronig relations one can derive a real part of a permittivity profile from some given imaginary part (or vice versa), such that the reflection is guaranteed to be zero. This result is valid for both scalar and vector wave theories, and may have relevance for efficiently absorbing radiation, or reducing reflection from bodies.","authors_text":"G. C. La Rocca, M. Artoni, S. A. R. Horsley","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-28T16:20:20Z","title":"Non-reflecting permittivity profiles and the spatial Kramers-Kronig relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00152","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:bd46f86bf3d40aa4c03423516aacc3baf5c49d8bff2d6185b0cfd0349b23e28f","target":"record","created_at":"2026-05-18T02:25:55Z","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":"7391d33ae24fd954046858846494ce76ac3583e687748637910ee1638bff6e01","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-02-28T16:20:20Z","title_canon_sha256":"dcdfbc3cfbe7d07b697e96ed3455ca216f35443f73e79d579f6569c189b24d2a"},"schema_version":"1.0","source":{"id":"1503.00152","kind":"arxiv","version":1}},"canonical_sha256":"ab6ca9082e741922ba9459b36d95307d8558424d35ccc8855132924cdbe7a850","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab6ca9082e741922ba9459b36d95307d8558424d35ccc8855132924cdbe7a850","first_computed_at":"2026-05-18T02:25:55.046001Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:55.046001Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TWr20mOYzxHfTRP9p/gFBcwd7CyK9mIW+r+5NzrBtPtbBayP/NyoWw0UA88O38zYvszsk+LQMD2GPl1/mo3IAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:55.046450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd46f86bf3d40aa4c03423516aacc3baf5c49d8bff2d6185b0cfd0349b23e28f","sha256:366f427ad19ed5a971b4b6c51f2f8810cecc2508d42a0b6932d68e1ef62467e4"],"state_sha256":"5a7c0cde7dae6f347338e6e67998d0b2343fd82b2132a0195e1f517810df9c2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c88v5RibY+2nWKbgtlwwP+vZE7Kj7yYTyb2wVgqtaN4VSksze3dwW4UP3xhOvAYOax8Tp1rreeCXtQWOuFm4Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T11:11:00.994235Z","bundle_sha256":"3a63fe5e2af7e87dd28546814aeda9e4364fb889691612d6494588870da81b95"}}