{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KDQ2BOSM4MBRGHUYPNIQKSXXPI","short_pith_number":"pith:KDQ2BOSM","canonical_record":{"source":{"id":"1705.04540","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-12T12:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"402a41c36312137fa2911ea16c767ced791c821b9589a48ed65a0c71121f005d","abstract_canon_sha256":"c255c6fd9960723d5e9c1f700580cde6498a3ab76404e399181299fe2f3cd379"},"schema_version":"1.0"},"canonical_sha256":"50e1a0ba4ce303131e987b51054af77a0ab3b6c852088098ea380e65dbd9c555","source":{"kind":"arxiv","id":"1705.04540","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04540","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04540v2","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04540","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"KDQ2BOSM4MBR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KDQ2BOSM4MBRGHUY","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KDQ2BOSM","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KDQ2BOSM4MBRGHUYPNIQKSXXPI","target":"record","payload":{"canonical_record":{"source":{"id":"1705.04540","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-12T12:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"402a41c36312137fa2911ea16c767ced791c821b9589a48ed65a0c71121f005d","abstract_canon_sha256":"c255c6fd9960723d5e9c1f700580cde6498a3ab76404e399181299fe2f3cd379"},"schema_version":"1.0"},"canonical_sha256":"50e1a0ba4ce303131e987b51054af77a0ab3b6c852088098ea380e65dbd9c555","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:20.652895Z","signature_b64":"8H1bMEZK4ff98pkEyc+dUDwwsgNPMph8FKqQdAKKW6OqyJjhDOjlY4WLTRiK7LDWrFKgwA3xmWwzTs7URuAQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50e1a0ba4ce303131e987b51054af77a0ab3b6c852088098ea380e65dbd9c555","last_reissued_at":"2026-05-18T00:38:20.652131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:20.652131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.04540","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ekRUnngth/6JGSRpDz9yn6G/0XwQFjBCb2DY1LLHkYfYW+1L98/YzbpjbYLIfUz0xyigG85yo2PSWWGPIKisCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:51:33.092843Z"},"content_sha256":"495e8b3d60cf462ff29df64e09437b3c2b4ab6373b0b6c3e356504b7ab9ed46e","schema_version":"1.0","event_id":"sha256:495e8b3d60cf462ff29df64e09437b3c2b4ab6373b0b6c3e356504b7ab9ed46e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KDQ2BOSM4MBRGHUYPNIQKSXXPI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Single freeform surface design for prescribed input wavefront and target irradiance","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":"2017-05-12T12:34:00Z","abstract_excerpt":"In beam shaping applications, the minimization of the number of necessary optical elements for the beam shaping process can benefit the compactness of the optical system and reduce its cost. The single freeform surface design for input wavefronts, which are neither planar nor spherical, is therefore of interest. In this work, the design of single freeform surfaces for a given zero-\\'etendue source and complex target irradiances is investigated. Hence, not only collimated input beams or point sources are assumed. Instead, a predefined input ray direction vector field and irradiance distribution"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04540","kind":"arxiv","version":2},"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":"2026-05-18T00:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tdu7/iORxYFwy9NmxjKzXkD9aEVrkXxxqa4PDyqBeyToZDajcKYEMAmpYtv/lAAMH78nCm2KpoA5qqqre3FlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T04:51:33.093393Z"},"content_sha256":"13853c573b92ccee340b418a4baee5153e9a4b0cb322e784f3b6db30aaa43fd7","schema_version":"1.0","event_id":"sha256:13853c573b92ccee340b418a4baee5153e9a4b0cb322e784f3b6db30aaa43fd7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI/bundle.json","state_url":"https://pith.science/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI/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":"2026-06-05T04:51:33Z","links":{"resolver":"https://pith.science/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI","bundle":"https://pith.science/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI/bundle.json","state":"https://pith.science/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KDQ2BOSM4MBRGHUYPNIQKSXXPI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KDQ2BOSM4MBRGHUYPNIQKSXXPI","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":"c255c6fd9960723d5e9c1f700580cde6498a3ab76404e399181299fe2f3cd379","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-12T12:34:00Z","title_canon_sha256":"402a41c36312137fa2911ea16c767ced791c821b9589a48ed65a0c71121f005d"},"schema_version":"1.0","source":{"id":"1705.04540","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04540","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04540v2","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04540","created_at":"2026-05-18T00:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"KDQ2BOSM4MBR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KDQ2BOSM4MBRGHUY","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KDQ2BOSM","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:13853c573b92ccee340b418a4baee5153e9a4b0cb322e784f3b6db30aaa43fd7","target":"graph","created_at":"2026-05-18T00:38:20Z","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":"In beam shaping applications, the minimization of the number of necessary optical elements for the beam shaping process can benefit the compactness of the optical system and reduce its cost. The single freeform surface design for input wavefronts, which are neither planar nor spherical, is therefore of interest. In this work, the design of single freeform surfaces for a given zero-\\'etendue source and complex target irradiances is investigated. Hence, not only collimated input beams or point sources are assumed. Instead, a predefined input ray direction vector field and irradiance distribution","authors_text":"Christoph B\\\"osel, Herbert Gross","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-12T12:34:00Z","title":"Single freeform surface design for prescribed input wavefront and target irradiance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04540","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":"sha256:495e8b3d60cf462ff29df64e09437b3c2b4ab6373b0b6c3e356504b7ab9ed46e","target":"record","created_at":"2026-05-18T00:38:20Z","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":"c255c6fd9960723d5e9c1f700580cde6498a3ab76404e399181299fe2f3cd379","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2017-05-12T12:34:00Z","title_canon_sha256":"402a41c36312137fa2911ea16c767ced791c821b9589a48ed65a0c71121f005d"},"schema_version":"1.0","source":{"id":"1705.04540","kind":"arxiv","version":2}},"canonical_sha256":"50e1a0ba4ce303131e987b51054af77a0ab3b6c852088098ea380e65dbd9c555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50e1a0ba4ce303131e987b51054af77a0ab3b6c852088098ea380e65dbd9c555","first_computed_at":"2026-05-18T00:38:20.652131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:20.652131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8H1bMEZK4ff98pkEyc+dUDwwsgNPMph8FKqQdAKKW6OqyJjhDOjlY4WLTRiK7LDWrFKgwA3xmWwzTs7URuAQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:20.652895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04540","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:495e8b3d60cf462ff29df64e09437b3c2b4ab6373b0b6c3e356504b7ab9ed46e","sha256:13853c573b92ccee340b418a4baee5153e9a4b0cb322e784f3b6db30aaa43fd7"],"state_sha256":"b33f49ec2e84734e6e4f7dde0ec83eac4aec6d254da7ea978e4269e39b2c2c01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dNfp8VFRO7y+9PQ+q5N0MH4HnCVLqvFokuGroHHx1+Hr8cWH4Kc8W2ey+1yUPSOmn27n/Mj15cy7GG3CVKXiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T04:51:33.097128Z","bundle_sha256":"acffb4e0484dc23b3269c00fc1cd169539b7a34ebf44ac7f661ff07ffd1e40a4"}}