{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:KHWDEEJF4DCEUV5WCQBFHAD5RP","short_pith_number":"pith:KHWDEEJF","schema_version":"1.0","canonical_sha256":"51ec321125e0c44a57b6140253807d8bd6c8462f1758d02bf30f0b34d1060c98","source":{"kind":"arxiv","id":"1904.08846","version":1},"attestation_state":"computed","paper":{"title":"A novel algorithm to get the Fourier power spectra of a real sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Changchuan Yin, Jiasong Wang","submitted_at":"2019-04-12T18:58:16Z","abstract_excerpt":"For a real sequence of length of m = nl, we may deduce its congruence derivative sequence with length of l. The discrete Fourier transform of original sequence can be calculated by the discrete Fourier transform of the congruence derivative sequence. Based on the relation of discrete Fourier transforms between the two sequences, the features of Fourier power spectra of the integer and fractional periods for a real sequence have been investigated. It has proved mathematically that after calculating the Fourier power spectrum at an integer period, the Fourier power spectra of the fractional peri"},"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":"1904.08846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2019-04-12T18:58:16Z","cross_cats_sorted":[],"title_canon_sha256":"6f1bb7a9641203e13aa197c3d7b98f6526af2f066d4decfd37424c72813c3c7e","abstract_canon_sha256":"a1a24a9a71736e431961c638a1ad81de3bfe0982ce0fcfb97653b7efc56284ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:12.780512Z","signature_b64":"FIeDUTrnAVCNzFP0/pjd0qkWhZQ920o4Et0RDQoo+AJ2b/iK/vVZ61nI+NKIBdbU3nuzkO/UXt+2WA/GHUrtAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51ec321125e0c44a57b6140253807d8bd6c8462f1758d02bf30f0b34d1060c98","last_reissued_at":"2026-05-17T23:48:12.779817Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:12.779817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A novel algorithm to get the Fourier power spectra of a real sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"eess.SP","authors_text":"Changchuan Yin, Jiasong Wang","submitted_at":"2019-04-12T18:58:16Z","abstract_excerpt":"For a real sequence of length of m = nl, we may deduce its congruence derivative sequence with length of l. The discrete Fourier transform of original sequence can be calculated by the discrete Fourier transform of the congruence derivative sequence. Based on the relation of discrete Fourier transforms between the two sequences, the features of Fourier power spectra of the integer and fractional periods for a real sequence have been investigated. It has proved mathematically that after calculating the Fourier power spectrum at an integer period, the Fourier power spectra of the fractional peri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.08846","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":"1904.08846","created_at":"2026-05-17T23:48:12.779924+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.08846v1","created_at":"2026-05-17T23:48:12.779924+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.08846","created_at":"2026-05-17T23:48:12.779924+00:00"},{"alias_kind":"pith_short_12","alias_value":"KHWDEEJF4DCE","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"KHWDEEJF4DCEUV5W","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"KHWDEEJF","created_at":"2026-05-18T12:33:21.387695+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/KHWDEEJF4DCEUV5WCQBFHAD5RP","json":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP.json","graph_json":"https://pith.science/api/pith-number/KHWDEEJF4DCEUV5WCQBFHAD5RP/graph.json","events_json":"https://pith.science/api/pith-number/KHWDEEJF4DCEUV5WCQBFHAD5RP/events.json","paper":"https://pith.science/paper/KHWDEEJF"},"agent_actions":{"view_html":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP","download_json":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP.json","view_paper":"https://pith.science/paper/KHWDEEJF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.08846&json=true","fetch_graph":"https://pith.science/api/pith-number/KHWDEEJF4DCEUV5WCQBFHAD5RP/graph.json","fetch_events":"https://pith.science/api/pith-number/KHWDEEJF4DCEUV5WCQBFHAD5RP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP/action/storage_attestation","attest_author":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP/action/author_attestation","sign_citation":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP/action/citation_signature","submit_replication":"https://pith.science/pith/KHWDEEJF4DCEUV5WCQBFHAD5RP/action/replication_record"}},"created_at":"2026-05-17T23:48:12.779924+00:00","updated_at":"2026-05-17T23:48:12.779924+00:00"}