{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BGGOMXMB4EJEH7ZE33EGV7GXK7","short_pith_number":"pith:BGGOMXMB","canonical_record":{"source":{"id":"1806.01325","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-06-04T18:57:29Z","cross_cats_sorted":[],"title_canon_sha256":"74296287773b2f6fe32535a31546ac997b1f5ff035cd4889e90e5669c9b9eca9","abstract_canon_sha256":"2dc14eb3e5abf81193466bb4a4f8dc0d9bb93b8d0bcabb716cb24645d84ce009"},"schema_version":"1.0"},"canonical_sha256":"098ce65d81e11243ff24dec86afcd757c7c45ca7de8ca08c89df3a2426b27d3b","source":{"kind":"arxiv","id":"1806.01325","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01325","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01325v2","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01325","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"BGGOMXMB4EJE","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BGGOMXMB4EJEH7ZE","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BGGOMXMB","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BGGOMXMB4EJEH7ZE33EGV7GXK7","target":"record","payload":{"canonical_record":{"source":{"id":"1806.01325","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-06-04T18:57:29Z","cross_cats_sorted":[],"title_canon_sha256":"74296287773b2f6fe32535a31546ac997b1f5ff035cd4889e90e5669c9b9eca9","abstract_canon_sha256":"2dc14eb3e5abf81193466bb4a4f8dc0d9bb93b8d0bcabb716cb24645d84ce009"},"schema_version":"1.0"},"canonical_sha256":"098ce65d81e11243ff24dec86afcd757c7c45ca7de8ca08c89df3a2426b27d3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:31.535190Z","signature_b64":"+FAgn9kCoMIJgQVsolTFzfX/uemneh3yH+vjtnNwZ1sdx65f01knJP59zdlqJpTH1E41vi5dc1LpGFJ2Q37+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"098ce65d81e11243ff24dec86afcd757c7c45ca7de8ca08c89df3a2426b27d3b","last_reissued_at":"2026-05-18T00:12:31.532211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:31.532211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.01325","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fIl5p6WazlLdYA9fVc05FkDca+oznSRUwbLt8BxPx8UiTozUcBxWGWUSPtyIEORfBdmYHx8GQ1iqEFDC/bxjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:36:13.297124Z"},"content_sha256":"95a7c6d28784f4f6c0cd5519a26a85f375e77f34debf3d0abddfaffa3c79eee6","schema_version":"1.0","event_id":"sha256:95a7c6d28784f4f6c0cd5519a26a85f375e77f34debf3d0abddfaffa3c79eee6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BGGOMXMB4EJEH7ZE33EGV7GXK7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive Critical Value for Constrained Likelihood Ratio Testing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Diaa Al Mohamad, Eric A. Cator, Erik W. van Zwet, Jelle J. Goeman","submitted_at":"2018-06-04T18:57:29Z","abstract_excerpt":"We present a new way of testing ordered hypotheses against all alternatives which overpowers the classical approach both in simplicity and statistical power. Our new method tests the constrained likelihood ratio statistic against the quantile of one and only one chi-squared random variable with a data-dependent degrees of freedom instead of a mixture of chi-squares. Our new test is proved to have a valid finite-sample significance level $\\alpha$ and provides more power especially for sparse alternatives (those with a few or moderate number of null constraints violations) in comparison to the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01325","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSY9NFVbfH33pcS4AC8ICZ8ukHY9CgKFlKiJtz0SdcJJN1Q5p+N/kpiLKznV+f9cOmhMT/1uGk48k6p9iSFEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:36:13.297504Z"},"content_sha256":"1f5a15f9f7bad02e4f625388c92d4bfd28c978008b25b7fee58e392966a106d9","schema_version":"1.0","event_id":"sha256:1f5a15f9f7bad02e4f625388c92d4bfd28c978008b25b7fee58e392966a106d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7/bundle.json","state_url":"https://pith.science/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T06:36:13Z","links":{"resolver":"https://pith.science/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7","bundle":"https://pith.science/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7/bundle.json","state":"https://pith.science/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BGGOMXMB4EJEH7ZE33EGV7GXK7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BGGOMXMB4EJEH7ZE33EGV7GXK7","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":"2dc14eb3e5abf81193466bb4a4f8dc0d9bb93b8d0bcabb716cb24645d84ce009","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-06-04T18:57:29Z","title_canon_sha256":"74296287773b2f6fe32535a31546ac997b1f5ff035cd4889e90e5669c9b9eca9"},"schema_version":"1.0","source":{"id":"1806.01325","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01325","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01325v2","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01325","created_at":"2026-05-18T00:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"BGGOMXMB4EJE","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BGGOMXMB4EJEH7ZE","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BGGOMXMB","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:1f5a15f9f7bad02e4f625388c92d4bfd28c978008b25b7fee58e392966a106d9","target":"graph","created_at":"2026-05-18T00:12:31Z","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 present a new way of testing ordered hypotheses against all alternatives which overpowers the classical approach both in simplicity and statistical power. Our new method tests the constrained likelihood ratio statistic against the quantile of one and only one chi-squared random variable with a data-dependent degrees of freedom instead of a mixture of chi-squares. Our new test is proved to have a valid finite-sample significance level $\\alpha$ and provides more power especially for sparse alternatives (those with a few or moderate number of null constraints violations) in comparison to the c","authors_text":"Diaa Al Mohamad, Eric A. Cator, Erik W. van Zwet, Jelle J. Goeman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-06-04T18:57:29Z","title":"Adaptive Critical Value for Constrained Likelihood Ratio Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01325","kind":"arxiv","version":2},"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":"sha256:95a7c6d28784f4f6c0cd5519a26a85f375e77f34debf3d0abddfaffa3c79eee6","target":"record","created_at":"2026-05-18T00:12:31Z","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":"2dc14eb3e5abf81193466bb4a4f8dc0d9bb93b8d0bcabb716cb24645d84ce009","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-06-04T18:57:29Z","title_canon_sha256":"74296287773b2f6fe32535a31546ac997b1f5ff035cd4889e90e5669c9b9eca9"},"schema_version":"1.0","source":{"id":"1806.01325","kind":"arxiv","version":2}},"canonical_sha256":"098ce65d81e11243ff24dec86afcd757c7c45ca7de8ca08c89df3a2426b27d3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"098ce65d81e11243ff24dec86afcd757c7c45ca7de8ca08c89df3a2426b27d3b","first_computed_at":"2026-05-18T00:12:31.532211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:31.532211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+FAgn9kCoMIJgQVsolTFzfX/uemneh3yH+vjtnNwZ1sdx65f01knJP59zdlqJpTH1E41vi5dc1LpGFJ2Q37+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:31.535190Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01325","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a7c6d28784f4f6c0cd5519a26a85f375e77f34debf3d0abddfaffa3c79eee6","sha256:1f5a15f9f7bad02e4f625388c92d4bfd28c978008b25b7fee58e392966a106d9"],"state_sha256":"2fc8b6733ccd174925b4afcb174f49be9a9c6a14048b9a5a1fe18a88acd5d649"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L7EMotSHdzw2AnMKUIFXfQIwa108kTa5HkP4Ad4NHoQOLzm2WB6Wv2Gf4ykwJwbyb1s6oVpRF1DYQbSLaODPCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:36:13.299724Z","bundle_sha256":"b3fc6d105605ee15c83e4b7b054562501340b291b195579e8a296f92382bb20d"}}