{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3CM7LNHZJUIQWLCOKV33T5O2AU","short_pith_number":"pith:3CM7LNHZ","schema_version":"1.0","canonical_sha256":"d899f5b4f94d110b2c4e5577b9f5da051b313687543f7a709448ddd9babff434","source":{"kind":"arxiv","id":"1508.05593","version":2},"attestation_state":"computed","paper":{"title":"A Power Variance Test for Nonstationarity in Complex-Valued Signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Adam M. Sykulski, Jeffrey J. Early, Jonathan M. Lilly, Sofia C. Olhede, Thomas E. Bartlett","submitted_at":"2015-08-23T10:47:07Z","abstract_excerpt":"We propose a novel algorithm for testing the hypothesis of nonstationarity in complex-valued signals. The implementation uses both the bootstrap and the Fast Fourier Transform such that the algorithm can be efficiently implemented in O(NlogN) time, where N is the length of the observed signal. The test procedure examines the second-order structure and contrasts the observed power variance - i.e. the variability of the instantaneous variance over time - with the expected characteristics of stationary signals generated via the bootstrap method. Our algorithmic procedure is capable of learning di"},"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":"1508.05593","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-08-23T10:47:07Z","cross_cats_sorted":[],"title_canon_sha256":"8c1d90cebf70cf0029517f747df8bc7840edd197a18784f62444793de9b3f12c","abstract_canon_sha256":"9138d5aafd7ac82eae95198310744bc5d83bc8f2efd00a6aac04479d7b3efc1e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:48.686021Z","signature_b64":"pPVKJ2H/l1jJL0srNxCWgiTQxi7MMbXCH3W8chqLGD3vmWxkVl7RpO3yP2mB2/TVmXHJTfWjnqE6ITWgO1lgBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d899f5b4f94d110b2c4e5577b9f5da051b313687543f7a709448ddd9babff434","last_reissued_at":"2026-05-18T01:30:48.685577Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:48.685577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Power Variance Test for Nonstationarity in Complex-Valued Signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Adam M. Sykulski, Jeffrey J. Early, Jonathan M. Lilly, Sofia C. Olhede, Thomas E. Bartlett","submitted_at":"2015-08-23T10:47:07Z","abstract_excerpt":"We propose a novel algorithm for testing the hypothesis of nonstationarity in complex-valued signals. The implementation uses both the bootstrap and the Fast Fourier Transform such that the algorithm can be efficiently implemented in O(NlogN) time, where N is the length of the observed signal. The test procedure examines the second-order structure and contrasts the observed power variance - i.e. the variability of the instantaneous variance over time - with the expected characteristics of stationary signals generated via the bootstrap method. Our algorithmic procedure is capable of learning di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05593","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":"1508.05593","created_at":"2026-05-18T01:30:48.685645+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.05593v2","created_at":"2026-05-18T01:30:48.685645+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05593","created_at":"2026-05-18T01:30:48.685645+00:00"},{"alias_kind":"pith_short_12","alias_value":"3CM7LNHZJUIQ","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3CM7LNHZJUIQWLCO","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3CM7LNHZ","created_at":"2026-05-18T12:29:02.477457+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/3CM7LNHZJUIQWLCOKV33T5O2AU","json":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU.json","graph_json":"https://pith.science/api/pith-number/3CM7LNHZJUIQWLCOKV33T5O2AU/graph.json","events_json":"https://pith.science/api/pith-number/3CM7LNHZJUIQWLCOKV33T5O2AU/events.json","paper":"https://pith.science/paper/3CM7LNHZ"},"agent_actions":{"view_html":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU","download_json":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU.json","view_paper":"https://pith.science/paper/3CM7LNHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.05593&json=true","fetch_graph":"https://pith.science/api/pith-number/3CM7LNHZJUIQWLCOKV33T5O2AU/graph.json","fetch_events":"https://pith.science/api/pith-number/3CM7LNHZJUIQWLCOKV33T5O2AU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU/action/storage_attestation","attest_author":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU/action/author_attestation","sign_citation":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU/action/citation_signature","submit_replication":"https://pith.science/pith/3CM7LNHZJUIQWLCOKV33T5O2AU/action/replication_record"}},"created_at":"2026-05-18T01:30:48.685645+00:00","updated_at":"2026-05-18T01:30:48.685645+00:00"}