{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:67EXOQAUXFXMGHNTJWOWBUG4JZ","short_pith_number":"pith:67EXOQAU","schema_version":"1.0","canonical_sha256":"f7c9774014b96ec31db34d9d60d0dc4e772b54bae605ed9956c6de1dda312fcd","source":{"kind":"arxiv","id":"1211.4732","version":1},"attestation_state":"computed","paper":{"title":"TFT-bootstrap: Resampling time series in the frequency domain to obtain replicates in the time domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Claudia Kirch, Dimitris N. Politis","submitted_at":"2012-11-20T13:05:08Z","abstract_excerpt":"A new time series bootstrap scheme, the time frequency toggle (TFT)-bootstrap, is proposed. Its basic idea is to bootstrap the Fourier coefficients of the observed time series, and then to back-transform them to obtain a bootstrap sample in the time domain. Related previous proposals, such as the \"surrogate data\" approach, resampled only the phase of the Fourier coefficients and thus had only limited validity. By contrast, we show that the appropriate resampling of phase and magnitude, in addition to some smoothing of Fourier coefficients, yields a bootstrap scheme that mimics the correct seco"},"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":"1211.4732","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-11-20T13:05:08Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"1b9854d6fb3991477e5a7bdc2f4e98ea200d28013a2440d86748edf4bbf03e8a","abstract_canon_sha256":"c0761bb9164a0cbf4dee85d1370516d9529a14d163904e16d675bc1273073803"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:40:24.792992Z","signature_b64":"ligQA9P33vzn8LOY8o+uCXWA9zD8Hg3aqvZMlomfdMCahBuESJyVBfvQQkjbpi8k2S0eGmKKevpAXrwUUYZWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7c9774014b96ec31db34d9d60d0dc4e772b54bae605ed9956c6de1dda312fcd","last_reissued_at":"2026-05-18T03:40:24.792448Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:40:24.792448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"TFT-bootstrap: Resampling time series in the frequency domain to obtain replicates in the time domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Claudia Kirch, Dimitris N. Politis","submitted_at":"2012-11-20T13:05:08Z","abstract_excerpt":"A new time series bootstrap scheme, the time frequency toggle (TFT)-bootstrap, is proposed. Its basic idea is to bootstrap the Fourier coefficients of the observed time series, and then to back-transform them to obtain a bootstrap sample in the time domain. Related previous proposals, such as the \"surrogate data\" approach, resampled only the phase of the Fourier coefficients and thus had only limited validity. By contrast, we show that the appropriate resampling of phase and magnitude, in addition to some smoothing of Fourier coefficients, yields a bootstrap scheme that mimics the correct seco"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4732","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":"1211.4732","created_at":"2026-05-18T03:40:24.792531+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.4732v1","created_at":"2026-05-18T03:40:24.792531+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4732","created_at":"2026-05-18T03:40:24.792531+00:00"},{"alias_kind":"pith_short_12","alias_value":"67EXOQAUXFXM","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"67EXOQAUXFXMGHNT","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"67EXOQAU","created_at":"2026-05-18T12:26:56.085431+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/67EXOQAUXFXMGHNTJWOWBUG4JZ","json":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ.json","graph_json":"https://pith.science/api/pith-number/67EXOQAUXFXMGHNTJWOWBUG4JZ/graph.json","events_json":"https://pith.science/api/pith-number/67EXOQAUXFXMGHNTJWOWBUG4JZ/events.json","paper":"https://pith.science/paper/67EXOQAU"},"agent_actions":{"view_html":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ","download_json":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ.json","view_paper":"https://pith.science/paper/67EXOQAU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.4732&json=true","fetch_graph":"https://pith.science/api/pith-number/67EXOQAUXFXMGHNTJWOWBUG4JZ/graph.json","fetch_events":"https://pith.science/api/pith-number/67EXOQAUXFXMGHNTJWOWBUG4JZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ/action/storage_attestation","attest_author":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ/action/author_attestation","sign_citation":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ/action/citation_signature","submit_replication":"https://pith.science/pith/67EXOQAUXFXMGHNTJWOWBUG4JZ/action/replication_record"}},"created_at":"2026-05-18T03:40:24.792531+00:00","updated_at":"2026-05-18T03:40:24.792531+00:00"}