{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V3ATPB6N7ZNWDWVUFJJJF4SOPV","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":"afdbe6512a11d6fbd4fb93366bb76e9997031d1716a856f2dd3f041ed67efd81","cross_cats_sorted":["cs.DM","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-02-05T14:25:33Z","title_canon_sha256":"ddbf5e0d8ce77fce143ddfcca2144d825702d4848154894ad079f27900472816"},"schema_version":"1.0","source":{"id":"1502.01566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01566","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01566v1","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01566","created_at":"2026-05-18T00:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"V3ATPB6N7ZNW","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V3ATPB6N7ZNWDWVU","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V3ATPB6N","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:94467f5a2e499ca8884504c292bc4a69b1540274c541e7416206f6663b196d2e","target":"graph","created_at":"2026-05-18T00:24:02Z","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":"General guidelines for a new fast computation of blocklength 8m+4 DFTs are presented, which is based on a Laurent series involving matrices. Results of non-trivial real multiplicative complexity are presented for blocklengths N=64, achieving lower multiplication counts than previously published FFTs. A detailed description for the cases m=1 and m=2 is presented.","authors_text":"H.M. de Oliveira, R.C. de Oliveira, R.M. Campello de Souza","cross_cats":["cs.DM","eess.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-02-05T14:25:33Z","title":"A Matrix Laurent Series-based Fast Fourier Transform for Blocklengths N=4 (mod 8)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01566","kind":"arxiv","version":1},"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":"sha256:85594e658c2d2bfbc8f2db1037631f05970d09c1fdb6d5c01818c00b85ac6197","target":"record","created_at":"2026-05-18T00:24:02Z","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":"afdbe6512a11d6fbd4fb93366bb76e9997031d1716a856f2dd3f041ed67efd81","cross_cats_sorted":["cs.DM","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-02-05T14:25:33Z","title_canon_sha256":"ddbf5e0d8ce77fce143ddfcca2144d825702d4848154894ad079f27900472816"},"schema_version":"1.0","source":{"id":"1502.01566","kind":"arxiv","version":1}},"canonical_sha256":"aec13787cdfe5b61dab42a5292f24e7d6ea80f2d3d2d3cd3a2cc04a458c8409b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aec13787cdfe5b61dab42a5292f24e7d6ea80f2d3d2d3cd3a2cc04a458c8409b","first_computed_at":"2026-05-18T00:24:02.517461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:02.517461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zTKbb8Ndy+Wubb4XpU+pmoRHRlGyetxqbLU+o/xOw2GY3KQCfh0kGi/1c8yLY/5S7MPpE722rSVdvC7R8XtyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:02.517870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85594e658c2d2bfbc8f2db1037631f05970d09c1fdb6d5c01818c00b85ac6197","sha256:94467f5a2e499ca8884504c292bc4a69b1540274c541e7416206f6663b196d2e"],"state_sha256":"2f51a1d08a1d57e9b52ede5a43d43d5179d12b3e46aa7911cf10d4b4dafbbc7d"}