{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RO54ZQQ56SFJ3WS75RS2MHH543","short_pith_number":"pith:RO54ZQQ5","schema_version":"1.0","canonical_sha256":"8bbbccc21df48a9dda5fec65a61cfde6fbe12e3352f7937a1965ea36e0c66d5d","source":{"kind":"arxiv","id":"1503.05093","version":4},"attestation_state":"computed","paper":{"title":"Power of the Spacing test for Least-Angle Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Jean-Marc Aza\\\"is, St\\'ephane Mourareau, Yohann De Castro","submitted_at":"2015-03-17T15:32:08Z","abstract_excerpt":"Recent advances in Post-Selection Inference have shown that conditional testing is relevant and tractable in high-dimensions. In the Gaussian linear model, further works have derived unconditional test statistics such as the Kac-Rice Pivot for general penalized problems. In order to test the global null, a prominent offspring of this breakthrough is the spacing test that accounts the relative separation between the first two knots of the celebrated least-angle regression (LARS) algorithm. However, no results have been shown regarding the distribution of these test statistics under the alternat"},"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":"1503.05093","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-17T15:32:08Z","cross_cats_sorted":["stat.ME","stat.TH"],"title_canon_sha256":"5264f8cd8096c9e715c0e82286c65c399670bdd04385df28bdaae4644424bbf4","abstract_canon_sha256":"a3ea66440d6d35755249d130e300b551f24453283692757b6cd122de3d6f20aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:34.747419Z","signature_b64":"97fA3MV1KNdve16SK56eohX+sDif33UjzBv3fKWyAjc2G55cls+wxjPH+nZTHXUfTpJSMwvh/FBBqOXUX/9OBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bbbccc21df48a9dda5fec65a61cfde6fbe12e3352f7937a1965ea36e0c66d5d","last_reissued_at":"2026-05-18T01:30:34.746740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:34.746740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Power of the Spacing test for Least-Angle Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME","stat.TH"],"primary_cat":"math.ST","authors_text":"Jean-Marc Aza\\\"is, St\\'ephane Mourareau, Yohann De Castro","submitted_at":"2015-03-17T15:32:08Z","abstract_excerpt":"Recent advances in Post-Selection Inference have shown that conditional testing is relevant and tractable in high-dimensions. In the Gaussian linear model, further works have derived unconditional test statistics such as the Kac-Rice Pivot for general penalized problems. In order to test the global null, a prominent offspring of this breakthrough is the spacing test that accounts the relative separation between the first two knots of the celebrated least-angle regression (LARS) algorithm. However, no results have been shown regarding the distribution of these test statistics under the alternat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05093","kind":"arxiv","version":4},"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":"1503.05093","created_at":"2026-05-18T01:30:34.746830+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05093v4","created_at":"2026-05-18T01:30:34.746830+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05093","created_at":"2026-05-18T01:30:34.746830+00:00"},{"alias_kind":"pith_short_12","alias_value":"RO54ZQQ56SFJ","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RO54ZQQ56SFJ3WS7","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RO54ZQQ5","created_at":"2026-05-18T12:29:39.896362+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/RO54ZQQ56SFJ3WS75RS2MHH543","json":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543.json","graph_json":"https://pith.science/api/pith-number/RO54ZQQ56SFJ3WS75RS2MHH543/graph.json","events_json":"https://pith.science/api/pith-number/RO54ZQQ56SFJ3WS75RS2MHH543/events.json","paper":"https://pith.science/paper/RO54ZQQ5"},"agent_actions":{"view_html":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543","download_json":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543.json","view_paper":"https://pith.science/paper/RO54ZQQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05093&json=true","fetch_graph":"https://pith.science/api/pith-number/RO54ZQQ56SFJ3WS75RS2MHH543/graph.json","fetch_events":"https://pith.science/api/pith-number/RO54ZQQ56SFJ3WS75RS2MHH543/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543/action/storage_attestation","attest_author":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543/action/author_attestation","sign_citation":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543/action/citation_signature","submit_replication":"https://pith.science/pith/RO54ZQQ56SFJ3WS75RS2MHH543/action/replication_record"}},"created_at":"2026-05-18T01:30:34.746830+00:00","updated_at":"2026-05-18T01:30:34.746830+00:00"}