{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:NKPUZVGZZ77LINZQ4SUI6D5FB2","short_pith_number":"pith:NKPUZVGZ","schema_version":"1.0","canonical_sha256":"6a9f4cd4d9cffeb43730e4a88f0fa50eac0156f4c2e8a0d4f125acac4cfe3930","source":{"kind":"arxiv","id":"1204.5994","version":1},"attestation_state":"computed","paper":{"title":"Aberration-like cusped focusing in the post-paraxial Talbot effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Christopher J Howls, James D Ring, Jari Lindberg, Mark R Dennis","submitted_at":"2012-04-26T18:04:54Z","abstract_excerpt":"We present an analysis of self-imaging in a regime beyond the paraxial, where deviation from simple paraxial propagation causes apparent self-imaging aberrations. The resulting structures are examples of aberration without rays and are described analytically using post-paraxial theory. They are shown to relate to, but surprisingly do not precisely replicate, a standard integral representation of a diffraction cusp. Beyond the Talbot effect, this result is significant as it illustrates that the effect of aberration -- as manifested in the replacement of a perfect focus with a cusp-like pattern "},"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":"1204.5994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-04-26T18:04:54Z","cross_cats_sorted":[],"title_canon_sha256":"029f6850078bb9e8b1e17581ce5f245d175a1841600142c1245c41068d0167a4","abstract_canon_sha256":"50a0504a22d604f8e2a9650f9fc2b3e6263ce1043a68bae1563bdaaecf8c2186"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:43.711864Z","signature_b64":"Ovs7YGz3Rh0EJY6u7uZ0od0a3+4zNLYQ7AuwrlKZRHC23TgUX661z4y0yrRXaX5AMgU916Y0UYAI2LZCYlQrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a9f4cd4d9cffeb43730e4a88f0fa50eac0156f4c2e8a0d4f125acac4cfe3930","last_reissued_at":"2026-05-18T01:57:43.711186Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:43.711186Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Aberration-like cusped focusing in the post-paraxial Talbot effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Christopher J Howls, James D Ring, Jari Lindberg, Mark R Dennis","submitted_at":"2012-04-26T18:04:54Z","abstract_excerpt":"We present an analysis of self-imaging in a regime beyond the paraxial, where deviation from simple paraxial propagation causes apparent self-imaging aberrations. The resulting structures are examples of aberration without rays and are described analytically using post-paraxial theory. They are shown to relate to, but surprisingly do not precisely replicate, a standard integral representation of a diffraction cusp. Beyond the Talbot effect, this result is significant as it illustrates that the effect of aberration -- as manifested in the replacement of a perfect focus with a cusp-like pattern "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.5994","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":"1204.5994","created_at":"2026-05-18T01:57:43.711306+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.5994v1","created_at":"2026-05-18T01:57:43.711306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.5994","created_at":"2026-05-18T01:57:43.711306+00:00"},{"alias_kind":"pith_short_12","alias_value":"NKPUZVGZZ77L","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"NKPUZVGZZ77LINZQ","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"NKPUZVGZ","created_at":"2026-05-18T12:27:16.716162+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/NKPUZVGZZ77LINZQ4SUI6D5FB2","json":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2.json","graph_json":"https://pith.science/api/pith-number/NKPUZVGZZ77LINZQ4SUI6D5FB2/graph.json","events_json":"https://pith.science/api/pith-number/NKPUZVGZZ77LINZQ4SUI6D5FB2/events.json","paper":"https://pith.science/paper/NKPUZVGZ"},"agent_actions":{"view_html":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2","download_json":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2.json","view_paper":"https://pith.science/paper/NKPUZVGZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.5994&json=true","fetch_graph":"https://pith.science/api/pith-number/NKPUZVGZZ77LINZQ4SUI6D5FB2/graph.json","fetch_events":"https://pith.science/api/pith-number/NKPUZVGZZ77LINZQ4SUI6D5FB2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2/action/storage_attestation","attest_author":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2/action/author_attestation","sign_citation":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2/action/citation_signature","submit_replication":"https://pith.science/pith/NKPUZVGZZ77LINZQ4SUI6D5FB2/action/replication_record"}},"created_at":"2026-05-18T01:57:43.711306+00:00","updated_at":"2026-05-18T01:57:43.711306+00:00"}