{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YYU633ANCLTGBZXSBPGQNIQSCJ","short_pith_number":"pith:YYU633AN","schema_version":"1.0","canonical_sha256":"c629edec0d12e660e6f20bcd06a212124b9830f14f73774dee79f59c1e5c605a","source":{"kind":"arxiv","id":"1712.04613","version":2},"attestation_state":"computed","paper":{"title":"ROAST: Rapid Orthogonal Approximate Slepian Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Justin Romberg, Mark A. Davenport, Michael B. Wakin, Santhosh Karnik, Zhihui Zhu","submitted_at":"2017-12-13T05:47:49Z","abstract_excerpt":"In this paper, we provide a Rapid Orthogonal Approximate Slepian Transform (ROAST) for the discrete vector that one obtains when collecting a finite set of uniform samples from a baseband analog signal. The ROAST offers an orthogonal projection which is an approximation to the orthogonal projection onto the leading discrete prolate spheroidal sequence (DPSS) vectors (also known as Slepian basis vectors). As such, the ROAST is guaranteed to accurately and compactly represent not only oversampled bandlimited signals but also the leading DPSS vectors themselves. Moreover, the subspace angle betwe"},"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":"1712.04613","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-13T05:47:49Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"2a252020c4027fd1f35768645eda91dc501b013424afaf481bde6fad94ca621f","abstract_canon_sha256":"cd308139fac37724f4d642123645dbb3f81e739da93a03c5c7bebd916d1188ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:59.623804Z","signature_b64":"VemjXsaROcV06NKbAv6j2tpNtuhaWv7H/BUP7nHosJvNaV5ATEoTMTzmWauX26BEEXjmYHNUBcJZNxkbGXYsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c629edec0d12e660e6f20bcd06a212124b9830f14f73774dee79f59c1e5c605a","last_reissued_at":"2026-05-18T00:00:59.623391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:59.623391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"ROAST: Rapid Orthogonal Approximate Slepian Transform","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Justin Romberg, Mark A. Davenport, Michael B. Wakin, Santhosh Karnik, Zhihui Zhu","submitted_at":"2017-12-13T05:47:49Z","abstract_excerpt":"In this paper, we provide a Rapid Orthogonal Approximate Slepian Transform (ROAST) for the discrete vector that one obtains when collecting a finite set of uniform samples from a baseband analog signal. The ROAST offers an orthogonal projection which is an approximation to the orthogonal projection onto the leading discrete prolate spheroidal sequence (DPSS) vectors (also known as Slepian basis vectors). As such, the ROAST is guaranteed to accurately and compactly represent not only oversampled bandlimited signals but also the leading DPSS vectors themselves. Moreover, the subspace angle betwe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04613","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":"1712.04613","created_at":"2026-05-18T00:00:59.623460+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.04613v2","created_at":"2026-05-18T00:00:59.623460+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04613","created_at":"2026-05-18T00:00:59.623460+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYU633ANCLTG","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYU633ANCLTGBZXS","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYU633AN","created_at":"2026-05-18T12:31:59.375834+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/YYU633ANCLTGBZXSBPGQNIQSCJ","json":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ.json","graph_json":"https://pith.science/api/pith-number/YYU633ANCLTGBZXSBPGQNIQSCJ/graph.json","events_json":"https://pith.science/api/pith-number/YYU633ANCLTGBZXSBPGQNIQSCJ/events.json","paper":"https://pith.science/paper/YYU633AN"},"agent_actions":{"view_html":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ","download_json":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ.json","view_paper":"https://pith.science/paper/YYU633AN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.04613&json=true","fetch_graph":"https://pith.science/api/pith-number/YYU633ANCLTGBZXSBPGQNIQSCJ/graph.json","fetch_events":"https://pith.science/api/pith-number/YYU633ANCLTGBZXSBPGQNIQSCJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ/action/storage_attestation","attest_author":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ/action/author_attestation","sign_citation":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ/action/citation_signature","submit_replication":"https://pith.science/pith/YYU633ANCLTGBZXSBPGQNIQSCJ/action/replication_record"}},"created_at":"2026-05-18T00:00:59.623460+00:00","updated_at":"2026-05-18T00:00:59.623460+00:00"}