{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:DTPGKKRJRRKK2YOGVFTYHV7F2Y","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":"bca72139d95493702d57e8309a9e003684c1ca88a78a55c39f62d9e8498a75e6","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"physics.optics","submitted_at":"2019-08-14T17:07:21Z","title_canon_sha256":"69f5282995e9c15d78ca3b9d34714bddd02711cf05d0d0fae4a4b79977c58377"},"schema_version":"1.0","source":{"id":"1908.05242","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.05242","created_at":"2026-07-05T01:25:22Z"},{"alias_kind":"arxiv_version","alias_value":"1908.05242v1","created_at":"2026-07-05T01:25:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.05242","created_at":"2026-07-05T01:25:22Z"},{"alias_kind":"pith_short_12","alias_value":"DTPGKKRJRRKK","created_at":"2026-07-05T01:25:22Z"},{"alias_kind":"pith_short_16","alias_value":"DTPGKKRJRRKK2YOG","created_at":"2026-07-05T01:25:22Z"},{"alias_kind":"pith_short_8","alias_value":"DTPGKKRJ","created_at":"2026-07-05T01:25:22Z"}],"graph_snapshots":[{"event_id":"sha256:837428433ddb560db4b40b94b2089cfa984e07f3ec6c1d87e79d239ee72289c6","target":"graph","created_at":"2026-07-05T01:25:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.05242/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A lens limited by diffraction and having two parabolic surfaces is presented. The knowledge of the following parameters: object distance, relative refractive index, lens thickness, and image distance, enables to analytically calculate the parabolic front and back surfaces. The conditions to obtain diffraction-limited images for these lenses and its maximal diameter are described. These bi-parabolic lenses can be easily manufactured at reduced costs and can be used for several commercial and industrial applications. The method to obtain such surfaces and a simple example validated by using Oslo","authors_text":"Jorge Garc\\'ia-M\\'arquez, Juan Camilo Valencia-Estrada","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"physics.optics","submitted_at":"2019-08-14T17:07:21Z","title":"On-axis diffraction-limited design of bi-parabolic singlet lenses"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.05242","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":"sha256:67ba2728cee904f9a5e07bed2f27cc10a5f2a10ec8cd602c4897d1f2e299c820","target":"record","created_at":"2026-07-05T01:25:22Z","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":"bca72139d95493702d57e8309a9e003684c1ca88a78a55c39f62d9e8498a75e6","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"physics.optics","submitted_at":"2019-08-14T17:07:21Z","title_canon_sha256":"69f5282995e9c15d78ca3b9d34714bddd02711cf05d0d0fae4a4b79977c58377"},"schema_version":"1.0","source":{"id":"1908.05242","kind":"arxiv","version":1}},"canonical_sha256":"1cde652a298c54ad61c6a96783d7e5d618db0e269dcc3945075a0907052f4158","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cde652a298c54ad61c6a96783d7e5d618db0e269dcc3945075a0907052f4158","first_computed_at":"2026-07-05T01:25:22.321487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:25:22.321487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W7gSkiack9itvdadNI+y2/azDmCn4rW051S4Yo5uilecBNExay8GzPsMbp/klw7rBEYkzfLLO8CH9pFhR8VvAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:25:22.321919Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.05242","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67ba2728cee904f9a5e07bed2f27cc10a5f2a10ec8cd602c4897d1f2e299c820","sha256:837428433ddb560db4b40b94b2089cfa984e07f3ec6c1d87e79d239ee72289c6"],"state_sha256":"7a21dd396cd717464c006708e55411f7050b428766a8775029772f4a412149af"}