{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UGVRQSOK7PRMEF7ZEKBNTRS564","short_pith_number":"pith:UGVRQSOK","schema_version":"1.0","canonical_sha256":"a1ab1849cafbe2c217f92282d9c65df7268e4aed900fb4351821ccfde8bef8fd","source":{"kind":"arxiv","id":"1605.01244","version":1},"attestation_state":"computed","paper":{"title":"INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Marco Caliari, Simone Zuccher","submitted_at":"2016-05-04T12:19:02Z","abstract_excerpt":"Although Fourier series approximation is ubiquitous in computational physics owing to the Fast Fourier Transform (FFT) algorithm, efficient techniques for the fast evaluation of a three-dimensional truncated Fourier series at a set of \\emph{arbitrary} points are quite rare, especially in MATLAB language. Here we employ the Nonequispaced Fast Fourier Transform (NFFT, by J. Keiner, S. Kunis, and D. Potts), a C library designed for this purpose, and provide a Matlab and GNU Octave interface that makes NFFT easily available to the Numerical Analysis community. We test the effectiveness of our pack"},"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":"1605.01244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-05-04T12:19:02Z","cross_cats_sorted":[],"title_canon_sha256":"9d8f345b2de70b7ddcb02dbc20549ef41f29b677c4b9885383b93712d773b782","abstract_canon_sha256":"b422cf88b2c4850dff10ecb2d4be45d19da13118cfb6e0ee3d28bbeae8924616"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:24.722379Z","signature_b64":"vLUtgVX0uXu5rmVWbxOvJHMoky8MwOLRGZGFyEdRTxzzso1p6sB8U4PaBYcMN1DHq3+2u1oUwS5HP3wqnQJYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1ab1849cafbe2c217f92282d9c65df7268e4aed900fb4351821ccfde8bef8fd","last_reissued_at":"2026-05-18T00:49:24.721819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:24.721819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"INFFTM: Fast evaluation of 3d Fourier series in MATLAB with an application to quantum vortex reconnections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Marco Caliari, Simone Zuccher","submitted_at":"2016-05-04T12:19:02Z","abstract_excerpt":"Although Fourier series approximation is ubiquitous in computational physics owing to the Fast Fourier Transform (FFT) algorithm, efficient techniques for the fast evaluation of a three-dimensional truncated Fourier series at a set of \\emph{arbitrary} points are quite rare, especially in MATLAB language. Here we employ the Nonequispaced Fast Fourier Transform (NFFT, by J. Keiner, S. Kunis, and D. Potts), a C library designed for this purpose, and provide a Matlab and GNU Octave interface that makes NFFT easily available to the Numerical Analysis community. We test the effectiveness of our pack"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01244","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":"1605.01244","created_at":"2026-05-18T00:49:24.721891+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.01244v1","created_at":"2026-05-18T00:49:24.721891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01244","created_at":"2026-05-18T00:49:24.721891+00:00"},{"alias_kind":"pith_short_12","alias_value":"UGVRQSOK7PRM","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UGVRQSOK7PRMEF7Z","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UGVRQSOK","created_at":"2026-05-18T12:30:46.583412+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/UGVRQSOK7PRMEF7ZEKBNTRS564","json":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564.json","graph_json":"https://pith.science/api/pith-number/UGVRQSOK7PRMEF7ZEKBNTRS564/graph.json","events_json":"https://pith.science/api/pith-number/UGVRQSOK7PRMEF7ZEKBNTRS564/events.json","paper":"https://pith.science/paper/UGVRQSOK"},"agent_actions":{"view_html":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564","download_json":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564.json","view_paper":"https://pith.science/paper/UGVRQSOK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.01244&json=true","fetch_graph":"https://pith.science/api/pith-number/UGVRQSOK7PRMEF7ZEKBNTRS564/graph.json","fetch_events":"https://pith.science/api/pith-number/UGVRQSOK7PRMEF7ZEKBNTRS564/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564/action/storage_attestation","attest_author":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564/action/author_attestation","sign_citation":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564/action/citation_signature","submit_replication":"https://pith.science/pith/UGVRQSOK7PRMEF7ZEKBNTRS564/action/replication_record"}},"created_at":"2026-05-18T00:49:24.721891+00:00","updated_at":"2026-05-18T00:49:24.721891+00:00"}