{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:QFYZKT3QXDPZREQ2QVZYZQPLD7","short_pith_number":"pith:QFYZKT3Q","schema_version":"1.0","canonical_sha256":"8171954f70b8df98921a85738cc1eb1fdea54b8d0ded5d3fe338b9a879aeea94","source":{"kind":"arxiv","id":"1707.04950","version":3},"attestation_state":"computed","paper":{"title":"Shifted Equivalent Sources and FFT acceleration for Periodic Scattering Problems including Wood Anomalies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Mart\\'in Maas, Oscar Bruno","submitted_at":"2017-07-16T21:44:31Z","abstract_excerpt":"This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum, for the numerical solution of problems of scattering by periodic surfaces in two-dimensional space. The proposed algorithm remains highly accurate and efficient for challenging configurations including randomly rough surfaces, deep corrugations, large periods, near grazing incidences, and, importantly, Wood-anomaly resonant frequencies. The proposed approach is based on use of certain `shifted equivalent sources' which enable FFT acceleration of a Wood-anomaly-capable quasi-periodic Green function intro"},"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":"1707.04950","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-07-16T21:44:31Z","cross_cats_sorted":["math.AP","math.NA"],"title_canon_sha256":"d3f3ab2f91eaa76798b71861e1f6fa65fd995465eaa002364cd23f6c1bcb2d05","abstract_canon_sha256":"05902e7b849035a94474cc3e2d3b617779b992c2d568c78ef79294e5cfbc541a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:05.474999Z","signature_b64":"H5pXcLlhGxebzp+dIVgRJDtpnOs5e7tSxmDOOCA/SzjeUQ7k6D8T2Lc7OC+VMwmlvcCZ1FQ81I4mzMT32du2CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8171954f70b8df98921a85738cc1eb1fdea54b8d0ded5d3fe338b9a879aeea94","last_reissued_at":"2026-05-18T00:15:05.474458Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:05.474458Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shifted Equivalent Sources and FFT acceleration for Periodic Scattering Problems including Wood Anomalies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Mart\\'in Maas, Oscar Bruno","submitted_at":"2017-07-16T21:44:31Z","abstract_excerpt":"This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum, for the numerical solution of problems of scattering by periodic surfaces in two-dimensional space. The proposed algorithm remains highly accurate and efficient for challenging configurations including randomly rough surfaces, deep corrugations, large periods, near grazing incidences, and, importantly, Wood-anomaly resonant frequencies. The proposed approach is based on use of certain `shifted equivalent sources' which enable FFT acceleration of a Wood-anomaly-capable quasi-periodic Green function intro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.04950","kind":"arxiv","version":3},"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":"1707.04950","created_at":"2026-05-18T00:15:05.474552+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.04950v3","created_at":"2026-05-18T00:15:05.474552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.04950","created_at":"2026-05-18T00:15:05.474552+00:00"},{"alias_kind":"pith_short_12","alias_value":"QFYZKT3QXDPZ","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"QFYZKT3QXDPZREQ2","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"QFYZKT3Q","created_at":"2026-05-18T12:31:37.085036+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/QFYZKT3QXDPZREQ2QVZYZQPLD7","json":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7.json","graph_json":"https://pith.science/api/pith-number/QFYZKT3QXDPZREQ2QVZYZQPLD7/graph.json","events_json":"https://pith.science/api/pith-number/QFYZKT3QXDPZREQ2QVZYZQPLD7/events.json","paper":"https://pith.science/paper/QFYZKT3Q"},"agent_actions":{"view_html":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7","download_json":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7.json","view_paper":"https://pith.science/paper/QFYZKT3Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.04950&json=true","fetch_graph":"https://pith.science/api/pith-number/QFYZKT3QXDPZREQ2QVZYZQPLD7/graph.json","fetch_events":"https://pith.science/api/pith-number/QFYZKT3QXDPZREQ2QVZYZQPLD7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7/action/storage_attestation","attest_author":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7/action/author_attestation","sign_citation":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7/action/citation_signature","submit_replication":"https://pith.science/pith/QFYZKT3QXDPZREQ2QVZYZQPLD7/action/replication_record"}},"created_at":"2026-05-18T00:15:05.474552+00:00","updated_at":"2026-05-18T00:15:05.474552+00:00"}