{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KOFLRPRDS7Z3DTTAKLCE2S22PN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2e4832860c6ff30745665c22212ace28e68f122b08b95eb72310eb7e2a283d85","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-05-19T21:27:24Z","title_canon_sha256":"7a27904f8d2dc0b6bb5a04a9211894088d4af221e01512f956338c936baac7c5"},"schema_version":"1.0","source":{"id":"1705.07196","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07196","created_at":"2026-05-18T00:01:10Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07196v4","created_at":"2026-05-18T00:01:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07196","created_at":"2026-05-18T00:01:10Z"},{"alias_kind":"pith_short_12","alias_value":"KOFLRPRDS7Z3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KOFLRPRDS7Z3DTTA","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KOFLRPRD","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:88aefce7aa71a4e1df9a524368015fcf877850be5ee416540a2d189595e22e41","target":"graph","created_at":"2026-05-18T00:01:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We discuss an \"operational\" approach to testing convex composite hypotheses when the underlying distributions are heavy-tailed. It relies upon Euclidean separation of convex sets and can be seen as an extension of the approach to testing by convex optimization developed in [8, 12]. In particular, we show how one can construct quasi-optimal testing procedures for families of distributions which are majorated, in a certain precise sense, by a sub-spherical symmetric one and study the relationship between tests based on Euclidean separation and \"potential-based tests.\" We apply the promoted metho","authors_text":"Anatoli Juditsky, Arkadi Nemirovski, Vincent Guigues","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-05-19T21:27:24Z","title":"Hypothesis Testing via Euclidean Separation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07196","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9f6020321a594c9259221b815f6c4f6cc4a9639119533a8f6428db6c1b243a9c","target":"record","created_at":"2026-05-18T00:01:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2e4832860c6ff30745665c22212ace28e68f122b08b95eb72310eb7e2a283d85","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2017-05-19T21:27:24Z","title_canon_sha256":"7a27904f8d2dc0b6bb5a04a9211894088d4af221e01512f956338c936baac7c5"},"schema_version":"1.0","source":{"id":"1705.07196","kind":"arxiv","version":4}},"canonical_sha256":"538ab8be2397f3b1ce6052c44d4b5a7b40024b50093d65ad92ec400549d30575","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"538ab8be2397f3b1ce6052c44d4b5a7b40024b50093d65ad92ec400549d30575","first_computed_at":"2026-05-18T00:01:10.483823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:10.483823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7NY55WzGSMmDS+SZ7gvV8mCo4RgtYm3ibzEU2drx8E1xq042SN40OzfbeSYiUJ7i8vzs3vPi9NzZ+y8PEc0sDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:10.484473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07196","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f6020321a594c9259221b815f6c4f6cc4a9639119533a8f6428db6c1b243a9c","sha256:88aefce7aa71a4e1df9a524368015fcf877850be5ee416540a2d189595e22e41"],"state_sha256":"7f9e277a5767f06f8119d6f3eec80a4b8aeacf8d306e98222529f236778bf29c"}