{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4QHNIDLZCFKN4UH7WXVQ4KVAAV","short_pith_number":"pith:4QHNIDLZ","schema_version":"1.0","canonical_sha256":"e40ed40d791154de50ffb5eb0e2aa0054b3f62446f0ddfaff5bfb03b5bf7eba4","source":{"kind":"arxiv","id":"1801.07479","version":1},"attestation_state":"computed","paper":{"title":"Double freeform illumination design for prescribed wavefronts and irradiances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Christoph B\\\"osel, Herbert Gross","submitted_at":"2018-01-23T10:53:11Z","abstract_excerpt":"A mathematical model in terms of partial differential equations (PDE) for the calculation of double freeform surfaces for irradiance and phase control with predefined input and output wavefronts is presented. It extends the results of B\\\"osel and Gross [J. Opt. Soc. Am. A 34, 1490 (2017)] for the illumination design of single freeform surfaces for zero-\\'etendue light sources to double freeform lenses and mirrors. The PDE model thereby overcomes the restriction to paraxiality or the requirement of at least one planar wavefront of the current design models in the literature. In contrast with th"},"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":"1801.07479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2018-01-23T10:53:11Z","cross_cats_sorted":[],"title_canon_sha256":"594b2668da6c9ed386279c682b8e604bf11cff2f6536c1a1f40ab52594444e11","abstract_canon_sha256":"91a0e8c3fa8a7631adafea7bf9e78a9e0b5679fab4d9a06322627c3fdd57bc30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:12.745092Z","signature_b64":"b0fpMm5jJ8wY59zmJXy0RllDMXQCH9+HPjTBWOWw1cdVOSR1ukJzKrOy9QMb5f3dSROdkgPwakqfqytfPWHUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e40ed40d791154de50ffb5eb0e2aa0054b3f62446f0ddfaff5bfb03b5bf7eba4","last_reissued_at":"2026-05-18T00:25:12.744573Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:12.744573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double freeform illumination design for prescribed wavefronts and irradiances","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Christoph B\\\"osel, Herbert Gross","submitted_at":"2018-01-23T10:53:11Z","abstract_excerpt":"A mathematical model in terms of partial differential equations (PDE) for the calculation of double freeform surfaces for irradiance and phase control with predefined input and output wavefronts is presented. It extends the results of B\\\"osel and Gross [J. Opt. Soc. Am. A 34, 1490 (2017)] for the illumination design of single freeform surfaces for zero-\\'etendue light sources to double freeform lenses and mirrors. The PDE model thereby overcomes the restriction to paraxiality or the requirement of at least one planar wavefront of the current design models in the literature. In contrast with th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07479","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":"1801.07479","created_at":"2026-05-18T00:25:12.744651+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.07479v1","created_at":"2026-05-18T00:25:12.744651+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07479","created_at":"2026-05-18T00:25:12.744651+00:00"},{"alias_kind":"pith_short_12","alias_value":"4QHNIDLZCFKN","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4QHNIDLZCFKN4UH7","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4QHNIDLZ","created_at":"2026-05-18T12:32:05.422762+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/4QHNIDLZCFKN4UH7WXVQ4KVAAV","json":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV.json","graph_json":"https://pith.science/api/pith-number/4QHNIDLZCFKN4UH7WXVQ4KVAAV/graph.json","events_json":"https://pith.science/api/pith-number/4QHNIDLZCFKN4UH7WXVQ4KVAAV/events.json","paper":"https://pith.science/paper/4QHNIDLZ"},"agent_actions":{"view_html":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV","download_json":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV.json","view_paper":"https://pith.science/paper/4QHNIDLZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.07479&json=true","fetch_graph":"https://pith.science/api/pith-number/4QHNIDLZCFKN4UH7WXVQ4KVAAV/graph.json","fetch_events":"https://pith.science/api/pith-number/4QHNIDLZCFKN4UH7WXVQ4KVAAV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV/action/storage_attestation","attest_author":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV/action/author_attestation","sign_citation":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV/action/citation_signature","submit_replication":"https://pith.science/pith/4QHNIDLZCFKN4UH7WXVQ4KVAAV/action/replication_record"}},"created_at":"2026-05-18T00:25:12.744651+00:00","updated_at":"2026-05-18T00:25:12.744651+00:00"}