{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:CV7LVTTECOND4UECNPOBPQMDLW","short_pith_number":"pith:CV7LVTTE","schema_version":"1.0","canonical_sha256":"157ebace64139a3e50826bdc17c1835daf5e4bb9a8464cbcf7ca5df00a598aec","source":{"kind":"arxiv","id":"2205.10417","version":2},"attestation_state":"computed","paper":{"title":"A Statistical Primer on Classical Period-Finding Techniques in Astronomy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.IM","stat.AP"],"primary_cat":"astro-ph.EP","authors_text":"Ahmed Shaban, Jonathan P Williams, Naomi Giertych, Pragya Haravu","submitted_at":"2022-05-20T19:16:35Z","abstract_excerpt":"The aim of our paper is to investigate the properties of the classical phase-dispersion minimization (PDM), analysis of variance (AOV), string-length (SL), and Lomb-Scargle (LS) power statistics from a statistician's perspective. We confirm that when the data are perturbations of a constant function, i.e. under the null hypothesis of no period in the data, a scaled version of the PDM statistic follows a beta distribution, the AOV statistic follows an F distribution, and the LS power follows a chi-squared distribution with two degrees of freedom. However, the SL statistic does not have a closed"},"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":"2205.10417","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2022-05-20T19:16:35Z","cross_cats_sorted":["astro-ph.IM","stat.AP"],"title_canon_sha256":"b80fa45db56c302f18c8db730ac8020f783d69325c750c13ffb492754479346c","abstract_canon_sha256":"4b76295ae6d8d4694f4d2312345eb220f700231c718b3a50dbdac0fa8ac40ed4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:43:04.077228Z","signature_b64":"P1iXwA74dEb5EsE9GfhM6rJLiJdvI5cgRUuTUeKgbtTdtTTDEmJxQ/bfLss7VpMIWSFJYJ2G1EUhT8nUL3EfAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"157ebace64139a3e50826bdc17c1835daf5e4bb9a8464cbcf7ca5df00a598aec","last_reissued_at":"2026-07-05T09:43:04.076715Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:43:04.076715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Statistical Primer on Classical Period-Finding Techniques in Astronomy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.IM","stat.AP"],"primary_cat":"astro-ph.EP","authors_text":"Ahmed Shaban, Jonathan P Williams, Naomi Giertych, Pragya Haravu","submitted_at":"2022-05-20T19:16:35Z","abstract_excerpt":"The aim of our paper is to investigate the properties of the classical phase-dispersion minimization (PDM), analysis of variance (AOV), string-length (SL), and Lomb-Scargle (LS) power statistics from a statistician's perspective. We confirm that when the data are perturbations of a constant function, i.e. under the null hypothesis of no period in the data, a scaled version of the PDM statistic follows a beta distribution, the AOV statistic follows an F distribution, and the LS power follows a chi-squared distribution with two degrees of freedom. However, the SL statistic does not have a closed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.10417","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.10417/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2205.10417","created_at":"2026-07-05T09:43:04.076775+00:00"},{"alias_kind":"arxiv_version","alias_value":"2205.10417v2","created_at":"2026-07-05T09:43:04.076775+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.10417","created_at":"2026-07-05T09:43:04.076775+00:00"},{"alias_kind":"pith_short_12","alias_value":"CV7LVTTECOND","created_at":"2026-07-05T09:43:04.076775+00:00"},{"alias_kind":"pith_short_16","alias_value":"CV7LVTTECOND4UEC","created_at":"2026-07-05T09:43:04.076775+00:00"},{"alias_kind":"pith_short_8","alias_value":"CV7LVTTE","created_at":"2026-07-05T09:43:04.076775+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/CV7LVTTECOND4UECNPOBPQMDLW","json":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW.json","graph_json":"https://pith.science/api/pith-number/CV7LVTTECOND4UECNPOBPQMDLW/graph.json","events_json":"https://pith.science/api/pith-number/CV7LVTTECOND4UECNPOBPQMDLW/events.json","paper":"https://pith.science/paper/CV7LVTTE"},"agent_actions":{"view_html":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW","download_json":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW.json","view_paper":"https://pith.science/paper/CV7LVTTE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2205.10417&json=true","fetch_graph":"https://pith.science/api/pith-number/CV7LVTTECOND4UECNPOBPQMDLW/graph.json","fetch_events":"https://pith.science/api/pith-number/CV7LVTTECOND4UECNPOBPQMDLW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW/action/storage_attestation","attest_author":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW/action/author_attestation","sign_citation":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW/action/citation_signature","submit_replication":"https://pith.science/pith/CV7LVTTECOND4UECNPOBPQMDLW/action/replication_record"}},"created_at":"2026-07-05T09:43:04.076775+00:00","updated_at":"2026-07-05T09:43:04.076775+00:00"}