{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:AHLJJJVDJ47E35NAYZ6ORFIYOL","short_pith_number":"pith:AHLJJJVD","canonical_record":{"source":{"id":"1808.06736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-21T01:55:35Z","cross_cats_sorted":["cs.MS","cs.NA"],"title_canon_sha256":"1ac780bf067dbea319c10574be4291c4e3da74b9cf46d0c0474bbcf94b664889","abstract_canon_sha256":"4060131af95853ae378937377e97741337461f18676ed8d3731055691b22b39b"},"schema_version":"1.0"},"canonical_sha256":"01d694a6a34f3e4df5a0c67ce8951872c168f46ada808138e0dc552057e03f90","source":{"kind":"arxiv","id":"1808.06736","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06736","created_at":"2026-05-17T23:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06736v2","created_at":"2026-05-17T23:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06736","created_at":"2026-05-17T23:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"AHLJJJVDJ47E","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AHLJJJVDJ47E35NA","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AHLJJJVD","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:AHLJJJVDJ47E35NAYZ6ORFIYOL","target":"record","payload":{"canonical_record":{"source":{"id":"1808.06736","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-21T01:55:35Z","cross_cats_sorted":["cs.MS","cs.NA"],"title_canon_sha256":"1ac780bf067dbea319c10574be4291c4e3da74b9cf46d0c0474bbcf94b664889","abstract_canon_sha256":"4060131af95853ae378937377e97741337461f18676ed8d3731055691b22b39b"},"schema_version":"1.0"},"canonical_sha256":"01d694a6a34f3e4df5a0c67ce8951872c168f46ada808138e0dc552057e03f90","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:03.578751Z","signature_b64":"DQB1iCSwftRJoKIRY0ugMs2awGmNlZjmH9sdcn76CFJJ4XEfW5yAKSmqfMqEXPZ+k2or/BfWJ051FSuq0ILIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01d694a6a34f3e4df5a0c67ce8951872c168f46ada808138e0dc552057e03f90","last_reissued_at":"2026-05-17T23:49:03.578078Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:03.578078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.06736","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:49:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mMngX7ilBIzdmvRiXaquohGzFDHNQhw2wgSZ7lVMjuQcN5FgnekbsW2G90mXYb2sibYIHRmVSXJQrhsfnvbGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:36:20.183556Z"},"content_sha256":"fcfd877ecfc223ccef7cd0e4a40af9e7813d9a6e5dc458882925727cc7b8287e","schema_version":"1.0","event_id":"sha256:fcfd877ecfc223ccef7cd0e4a40af9e7813d9a6e5dc458882925727cc7b8287e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:AHLJJJVDJ47E35NAYZ6ORFIYOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A parallel non-uniform fast Fourier transform library based on an \"exponential of semicircle\" kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MS","cs.NA"],"primary_cat":"math.NA","authors_text":"Alex H. Barnett, Jeremy F. Magland, Ludvig af Klinteberg","submitted_at":"2018-08-21T01:55:35Z","abstract_excerpt":"The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of differential equations. We present FINUFFT, an efficient parallel library for type 1 (nonuiform to uniform), type 2 (uniform to nonuniform), or type 3 (nonuniform to nonuniform) transforms, in dimensions 1, 2, or 3. It uses minimal RAM, requires no precomputation or plan steps, and has a simple interface to several languages. We perform the expensive spreading/interpolation between nonuniform points and the fine gri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06736","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:49:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"26Aw63rA+o9dBpr4pKSUUVg34PKjybEzX2dv+XmslR/nqTw3NcusYJmS69A4M7qRkWjY28bnzjD0KIkS+q6EAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:36:20.184205Z"},"content_sha256":"3f97c85543c1e23d385fdce93abeb2c9311bfa83ff286a9895b5fb8dc0c0684e","schema_version":"1.0","event_id":"sha256:3f97c85543c1e23d385fdce93abeb2c9311bfa83ff286a9895b5fb8dc0c0684e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL/bundle.json","state_url":"https://pith.science/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T05:36:20Z","links":{"resolver":"https://pith.science/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL","bundle":"https://pith.science/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL/bundle.json","state":"https://pith.science/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AHLJJJVDJ47E35NAYZ6ORFIYOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:AHLJJJVDJ47E35NAYZ6ORFIYOL","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":"4060131af95853ae378937377e97741337461f18676ed8d3731055691b22b39b","cross_cats_sorted":["cs.MS","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-21T01:55:35Z","title_canon_sha256":"1ac780bf067dbea319c10574be4291c4e3da74b9cf46d0c0474bbcf94b664889"},"schema_version":"1.0","source":{"id":"1808.06736","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.06736","created_at":"2026-05-17T23:49:03Z"},{"alias_kind":"arxiv_version","alias_value":"1808.06736v2","created_at":"2026-05-17T23:49:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.06736","created_at":"2026-05-17T23:49:03Z"},{"alias_kind":"pith_short_12","alias_value":"AHLJJJVDJ47E","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"AHLJJJVDJ47E35NA","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"AHLJJJVD","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:3f97c85543c1e23d385fdce93abeb2c9311bfa83ff286a9895b5fb8dc0c0684e","target":"graph","created_at":"2026-05-17T23:49:03Z","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"},"paper":{"abstract_excerpt":"The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many applications include image reconstruction, data analysis, and the numerical solution of differential equations. We present FINUFFT, an efficient parallel library for type 1 (nonuiform to uniform), type 2 (uniform to nonuniform), or type 3 (nonuniform to nonuniform) transforms, in dimensions 1, 2, or 3. It uses minimal RAM, requires no precomputation or plan steps, and has a simple interface to several languages. We perform the expensive spreading/interpolation between nonuniform points and the fine gri","authors_text":"Alex H. Barnett, Jeremy F. Magland, Ludvig af Klinteberg","cross_cats":["cs.MS","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-21T01:55:35Z","title":"A parallel non-uniform fast Fourier transform library based on an \"exponential of semicircle\" kernel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.06736","kind":"arxiv","version":2},"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:fcfd877ecfc223ccef7cd0e4a40af9e7813d9a6e5dc458882925727cc7b8287e","target":"record","created_at":"2026-05-17T23:49:03Z","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":"4060131af95853ae378937377e97741337461f18676ed8d3731055691b22b39b","cross_cats_sorted":["cs.MS","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-08-21T01:55:35Z","title_canon_sha256":"1ac780bf067dbea319c10574be4291c4e3da74b9cf46d0c0474bbcf94b664889"},"schema_version":"1.0","source":{"id":"1808.06736","kind":"arxiv","version":2}},"canonical_sha256":"01d694a6a34f3e4df5a0c67ce8951872c168f46ada808138e0dc552057e03f90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01d694a6a34f3e4df5a0c67ce8951872c168f46ada808138e0dc552057e03f90","first_computed_at":"2026-05-17T23:49:03.578078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:03.578078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DQB1iCSwftRJoKIRY0ugMs2awGmNlZjmH9sdcn76CFJJ4XEfW5yAKSmqfMqEXPZ+k2or/BfWJ051FSuq0ILIBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:03.578751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.06736","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcfd877ecfc223ccef7cd0e4a40af9e7813d9a6e5dc458882925727cc7b8287e","sha256:3f97c85543c1e23d385fdce93abeb2c9311bfa83ff286a9895b5fb8dc0c0684e"],"state_sha256":"ba4cb5081cacc674dfaef72e6a98da6224482bc5285c4e0a5ca4e7965c1ddbfc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C2dqlW4xPqigMiIkrmp9+73fS172tRSQIpZ4xdqaN9aSSkURnFZgTfe5V+4UVo+E/XJmn1NHbVHmKgtnpXu7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:36:20.187354Z","bundle_sha256":"77dcbc799b7c9eff374365b0a5fe8ffa61523be7770f848a9b5fc47080a3665d"}}