{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LPLLERJYR2ZEGDCUIFTI5SZPAF","short_pith_number":"pith:LPLLERJY","schema_version":"1.0","canonical_sha256":"5bd6b245388eb2430c5441668ecb2f0165af1a2d3b4a16f23b4bc332497d95ca","source":{"kind":"arxiv","id":"1701.08434","version":2},"attestation_state":"computed","paper":{"title":"General analytical solution for the electromagnetic grating diffraction problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.optics"],"primary_cat":"physics.class-ph","authors_text":"Alexandre V. Tishchenko, Alexey A. Shcherbakov","submitted_at":"2017-01-29T21:36:36Z","abstract_excerpt":"Implementing the modal method in the electromagnetic grating diffraction problem delivered by the curvilinear coordinate transformation yields a general analytical solution to the 1D grating diffraction problem in a form of a T-matrix. Simultaneously it is shown that the validity of the Rayleigh expansion is defined by the validity of the modal expansion in a transformed medium delivered by the coordinate transformation."},"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":"1701.08434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2017-01-29T21:36:36Z","cross_cats_sorted":["math-ph","math.MP","physics.optics"],"title_canon_sha256":"5c34e1b27cecc5f69cb40280a38df2fece99949378f641277f44821a3477bd3a","abstract_canon_sha256":"75d2e6cd41525ba786fe2675e0aab87a8d3b970edc4c1dc664413f33ad326bf9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:12.726586Z","signature_b64":"L7uA2CrdBfMXIBs8pZGT3PR9UkHcpbN2NT7Loo7OvC2tnVdta5Db1/5OAXFsKvi2giV9gZnxLf6sg9T5/CinCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5bd6b245388eb2430c5441668ecb2f0165af1a2d3b4a16f23b4bc332497d95ca","last_reissued_at":"2026-05-18T00:39:12.726073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:12.726073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General analytical solution for the electromagnetic grating diffraction problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","physics.optics"],"primary_cat":"physics.class-ph","authors_text":"Alexandre V. Tishchenko, Alexey A. Shcherbakov","submitted_at":"2017-01-29T21:36:36Z","abstract_excerpt":"Implementing the modal method in the electromagnetic grating diffraction problem delivered by the curvilinear coordinate transformation yields a general analytical solution to the 1D grating diffraction problem in a form of a T-matrix. Simultaneously it is shown that the validity of the Rayleigh expansion is defined by the validity of the modal expansion in a transformed medium delivered by the coordinate transformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08434","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1701.08434","created_at":"2026-05-18T00:39:12.726154+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.08434v2","created_at":"2026-05-18T00:39:12.726154+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08434","created_at":"2026-05-18T00:39:12.726154+00:00"},{"alias_kind":"pith_short_12","alias_value":"LPLLERJYR2ZE","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LPLLERJYR2ZEGDCU","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LPLLERJY","created_at":"2026-05-18T12:31:28.150371+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/LPLLERJYR2ZEGDCUIFTI5SZPAF","json":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF.json","graph_json":"https://pith.science/api/pith-number/LPLLERJYR2ZEGDCUIFTI5SZPAF/graph.json","events_json":"https://pith.science/api/pith-number/LPLLERJYR2ZEGDCUIFTI5SZPAF/events.json","paper":"https://pith.science/paper/LPLLERJY"},"agent_actions":{"view_html":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF","download_json":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF.json","view_paper":"https://pith.science/paper/LPLLERJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.08434&json=true","fetch_graph":"https://pith.science/api/pith-number/LPLLERJYR2ZEGDCUIFTI5SZPAF/graph.json","fetch_events":"https://pith.science/api/pith-number/LPLLERJYR2ZEGDCUIFTI5SZPAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF/action/storage_attestation","attest_author":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF/action/author_attestation","sign_citation":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF/action/citation_signature","submit_replication":"https://pith.science/pith/LPLLERJYR2ZEGDCUIFTI5SZPAF/action/replication_record"}},"created_at":"2026-05-18T00:39:12.726154+00:00","updated_at":"2026-05-18T00:39:12.726154+00:00"}