{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NGVVIQASHVPYH7ETMSQZZOPP2I","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":"f9c3ad5e7f675befff14bb7ca3a8acf4401d1452b24afaf7eab955b8385cf9cf","cross_cats_sorted":["astro-ph.HE","hep-ex","hep-ph","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-11-22T20:20:35Z","title_canon_sha256":"2b228023ad9862055f4deb135daf248a6d0e40c2b1706613324e7c2d4095ad22"},"schema_version":"1.0","source":{"id":"1911.10237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1911.10237","created_at":"2026-07-05T04:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1911.10237v1","created_at":"2026-07-05T04:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.10237","created_at":"2026-07-05T04:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"NGVVIQASHVPY","created_at":"2026-07-05T04:11:22Z"},{"alias_kind":"pith_short_16","alias_value":"NGVVIQASHVPYH7ET","created_at":"2026-07-05T04:11:22Z"},{"alias_kind":"pith_short_8","alias_value":"NGVVIQAS","created_at":"2026-07-05T04:11:22Z"}],"graph_snapshots":[{"event_id":"sha256:64c13aef5fee381f9d4a761fa6715f94d257ea8f6794167c822e8a797b685370","target":"graph","created_at":"2026-07-05T04:11:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1911.10237/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Particle physics experiments use likelihood ratio tests extensively to compare hypotheses and to construct confidence intervals. Often, the null distribution of the likelihood ratio test statistic is approximated by a $\\chi^2$ distribution, following a theorem due to Wilks. However, many circumstances relevant to modern experiments can cause this theorem to fail. In this paper, we review how to identify these situations and construct valid inference.","authors_text":"Jan Conrad, Jelle Aalbers, Knut Dundas Mor{\\aa}, Sara Algeri","cross_cats":["astro-ph.HE","hep-ex","hep-ph","stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-11-22T20:20:35Z","title":"Searching for new physics with profile likelihoods: Wilks and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.10237","kind":"arxiv","version":1},"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:b2ed5765482997244419bcf5f7cc9b5ab605970d3f9f942adb0f654146ce3039","target":"record","created_at":"2026-07-05T04:11:22Z","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":"f9c3ad5e7f675befff14bb7ca3a8acf4401d1452b24afaf7eab955b8385cf9cf","cross_cats_sorted":["astro-ph.HE","hep-ex","hep-ph","stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2019-11-22T20:20:35Z","title_canon_sha256":"2b228023ad9862055f4deb135daf248a6d0e40c2b1706613324e7c2d4095ad22"},"schema_version":"1.0","source":{"id":"1911.10237","kind":"arxiv","version":1}},"canonical_sha256":"69ab5440123d5f83fc9364a19cb9efd205c21655208ea3b92893c1e0a135e2f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69ab5440123d5f83fc9364a19cb9efd205c21655208ea3b92893c1e0a135e2f9","first_computed_at":"2026-07-05T04:11:22.415312Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:11:22.415312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q0bEGyrDuGdx5UDulrqYIcOeAPw9ndm24lB55rJkwl43lZwkrRumW64wJ4R6rzQK09NSfpWyeM+zu3ArZOtuCw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:11:22.415814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1911.10237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2ed5765482997244419bcf5f7cc9b5ab605970d3f9f942adb0f654146ce3039","sha256:64c13aef5fee381f9d4a761fa6715f94d257ea8f6794167c822e8a797b685370"],"state_sha256":"693065f0f19ad01abb9937688116cb78fef2b97634d26f04e88b50cced166aff"}