{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OUQPMPSLTAUQSTJMMCMGFNF4TI","short_pith_number":"pith:OUQPMPSL","schema_version":"1.0","canonical_sha256":"7520f63e4b9829094d2c609862b4bc9a3ba9fb3d9c5f6c193e5f05bb932cd351","source":{"kind":"arxiv","id":"1711.02504","version":2},"attestation_state":"computed","paper":{"title":"Detecting the direction of a signal on high-dimensional spheres: Non-null and Le Cam optimality results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Davy Paindaveine, Thomas Verdebout","submitted_at":"2017-11-07T14:49:46Z","abstract_excerpt":"We consider one of the most important problems in directional statistics, namely the problem of testing the null hypothesis that the spike direction $\\theta$ of a Fisher-von Mises-Langevin distribution on the $p$-dimensional unit hypersphere is equal to a given direction $\\theta_0$. After a reduction through invariance arguments, we derive local asymptotic normality (LAN) results in a general high-dimensional framework where the dimension $p_n$ goes to infinity at an arbitrary rate with the sample size $n$, and where the concentration $\\kappa_n$ behaves in a completely free way with $n$, which"},"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":"1711.02504","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-11-07T14:49:46Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"c49d20dec3fbd5be789a531eeb68a7bce9748ce1a5d3cc141b66ef250121d555","abstract_canon_sha256":"1490d5615051aa45bd2d3543f03e3f8ff961af03be36cee92a9c4d26b6fe2ea5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:18.779722Z","signature_b64":"aBouaupZsqHcQUmIcJfTZkiudWeFdW0zTgTtlNfpe2mtTjEedGexWd0KonKrBAp21vvCNsxOu6geFY5vF0bECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7520f63e4b9829094d2c609862b4bc9a3ba9fb3d9c5f6c193e5f05bb932cd351","last_reissued_at":"2026-05-17T23:52:18.779252Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:18.779252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Detecting the direction of a signal on high-dimensional spheres: Non-null and Le Cam optimality results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Davy Paindaveine, Thomas Verdebout","submitted_at":"2017-11-07T14:49:46Z","abstract_excerpt":"We consider one of the most important problems in directional statistics, namely the problem of testing the null hypothesis that the spike direction $\\theta$ of a Fisher-von Mises-Langevin distribution on the $p$-dimensional unit hypersphere is equal to a given direction $\\theta_0$. After a reduction through invariance arguments, we derive local asymptotic normality (LAN) results in a general high-dimensional framework where the dimension $p_n$ goes to infinity at an arbitrary rate with the sample size $n$, and where the concentration $\\kappa_n$ behaves in a completely free way with $n$, which"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02504","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":"1711.02504","created_at":"2026-05-17T23:52:18.779328+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.02504v2","created_at":"2026-05-17T23:52:18.779328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02504","created_at":"2026-05-17T23:52:18.779328+00:00"},{"alias_kind":"pith_short_12","alias_value":"OUQPMPSLTAUQ","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"OUQPMPSLTAUQSTJM","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"OUQPMPSL","created_at":"2026-05-18T12:31:34.259226+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/OUQPMPSLTAUQSTJMMCMGFNF4TI","json":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI.json","graph_json":"https://pith.science/api/pith-number/OUQPMPSLTAUQSTJMMCMGFNF4TI/graph.json","events_json":"https://pith.science/api/pith-number/OUQPMPSLTAUQSTJMMCMGFNF4TI/events.json","paper":"https://pith.science/paper/OUQPMPSL"},"agent_actions":{"view_html":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI","download_json":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI.json","view_paper":"https://pith.science/paper/OUQPMPSL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.02504&json=true","fetch_graph":"https://pith.science/api/pith-number/OUQPMPSLTAUQSTJMMCMGFNF4TI/graph.json","fetch_events":"https://pith.science/api/pith-number/OUQPMPSLTAUQSTJMMCMGFNF4TI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI/action/storage_attestation","attest_author":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI/action/author_attestation","sign_citation":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI/action/citation_signature","submit_replication":"https://pith.science/pith/OUQPMPSLTAUQSTJMMCMGFNF4TI/action/replication_record"}},"created_at":"2026-05-17T23:52:18.779328+00:00","updated_at":"2026-05-17T23:52:18.779328+00:00"}