{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:BHWKMXGYY6HMUOF46WZW7XPD4F","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":"1430f3af797e20f5aa420651493ea31c0cd4d255f6dc9c0fbd194e6d633e8b35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2021-04-10T14:13:52Z","title_canon_sha256":"4d55dddc7d377ae48e39c8f7dcd8230af6e0a83391de9111c2d5a71bb26889fb"},"schema_version":"1.0","source":{"id":"2104.04772","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.04772","created_at":"2026-07-05T03:54:55Z"},{"alias_kind":"arxiv_version","alias_value":"2104.04772v1","created_at":"2026-07-05T03:54:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.04772","created_at":"2026-07-05T03:54:55Z"},{"alias_kind":"pith_short_12","alias_value":"BHWKMXGYY6HM","created_at":"2026-07-05T03:54:55Z"},{"alias_kind":"pith_short_16","alias_value":"BHWKMXGYY6HMUOF4","created_at":"2026-07-05T03:54:55Z"},{"alias_kind":"pith_short_8","alias_value":"BHWKMXGY","created_at":"2026-07-05T03:54:55Z"}],"graph_snapshots":[{"event_id":"sha256:0d323ce981d56b98bcbf2ef3088d1956b5cfb0f90c7309ae78ab868869205663","target":"graph","created_at":"2026-07-05T03:54:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2104.04772/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Light diffraction at an aperture is a basic problem that has generated a tremendous amount of interest in optics. Some of the most significant diffraction results are the Fresnel-Kirchhoff and Rayleigh-Sommerfeld formulas. These theories are based on solving the wave equation using Green's theorem and result in slightly different expressions depending on the particular boundary conditions employed. In this paper, we propose another approach for solving the diffraction by a thin screen, which includes apertures, gratings, transparencies etc. We show that, applying the first order Born approxima","authors_text":"Beckman Institute of Advanced Science, Gabriel Popescu (Quantitative Light Imaging Laboratory, Illinois, Neha Goswami, Technology, University of Illinois at Urbana-Champaign, USA)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2021-04-10T14:13:52Z","title":"Diffraction as scattering under the Born approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.04772","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:a37480df41db9264e283a5c1632c88021051ad5b1f16b05e168ee74298f75345","target":"record","created_at":"2026-07-05T03:54:55Z","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":"1430f3af797e20f5aa420651493ea31c0cd4d255f6dc9c0fbd194e6d633e8b35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2021-04-10T14:13:52Z","title_canon_sha256":"4d55dddc7d377ae48e39c8f7dcd8230af6e0a83391de9111c2d5a71bb26889fb"},"schema_version":"1.0","source":{"id":"2104.04772","kind":"arxiv","version":1}},"canonical_sha256":"09eca65cd8c78eca38bcf5b36fdde3e1537e90209cd2f2b00d7ae00ccae5cd43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09eca65cd8c78eca38bcf5b36fdde3e1537e90209cd2f2b00d7ae00ccae5cd43","first_computed_at":"2026-07-05T03:54:55.544606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:54:55.544606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l9UdR2gH/vIz3F6iPR6QTQD+8WnEL6OQO/Di08H7homlaBbht95jdZON402BvnCCFiHvFvl30rQD0eLqYfUjAw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:54:55.545085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.04772","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a37480df41db9264e283a5c1632c88021051ad5b1f16b05e168ee74298f75345","sha256:0d323ce981d56b98bcbf2ef3088d1956b5cfb0f90c7309ae78ab868869205663"],"state_sha256":"c47b4785cb071d4e04646b8c9a405c332b955400aaefff36ce3c89a03c1269c2"}