{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6UXEJEMUFGADXQONQI2NO2IC25","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":"b437b9bca996e511c4add29aeabcd649ba61dba4ccf7becddf9b783699e33373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-15T11:12:58Z","title_canon_sha256":"c70910f8d167dbf80953db8e953bc0076a6cd7783cf3c341a8b0da501ad719c0"},"schema_version":"1.0","source":{"id":"1310.4007","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4007","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4007v2","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4007","created_at":"2026-05-18T03:07:11Z"},{"alias_kind":"pith_short_12","alias_value":"6UXEJEMUFGAD","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6UXEJEMUFGADXQON","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6UXEJEMU","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:8216a513ea30f460b790f3599583e0a96e49296e5800f5cb6d0636f1fe668d4d","target":"graph","created_at":"2026-05-18T03:07:11Z","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":"The number of sigma of confidence in a determination of the neutrino mass hierarchy may be obtained from the statistic Delta chi squared. However, as the hierarchy is a discrete variable, this number is not given by the usual square root formula. We review a simple Bayesian formula for the sensitivity to the hierarchy that can be obtained from the median experiment as a function of Delta chi squared. We compare this analytical formula to 6 years of simulated data from JUNO together with a 4% (1%) determination of the effective atmospheric mass splitting from the disappearance channel at MINOS ","authors_text":"Jarah Evslin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-15T11:12:58Z","title":"Confidence in the neutrino mass hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4007","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":"sha256:91a1d67900706af038197e25a0db22f48e7d038fcce2c1953b7ef2c2f75d575f","target":"record","created_at":"2026-05-18T03:07:11Z","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":"b437b9bca996e511c4add29aeabcd649ba61dba4ccf7becddf9b783699e33373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-15T11:12:58Z","title_canon_sha256":"c70910f8d167dbf80953db8e953bc0076a6cd7783cf3c341a8b0da501ad719c0"},"schema_version":"1.0","source":{"id":"1310.4007","kind":"arxiv","version":2}},"canonical_sha256":"f52e44919429803bc1cd8234d76902d7535a1197239cb5c5fa0216b90b8eae3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f52e44919429803bc1cd8234d76902d7535a1197239cb5c5fa0216b90b8eae3e","first_computed_at":"2026-05-18T03:07:11.985128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:11.985128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rp0Yp+gKP3pmo9OkoXjrjqbpIzZxJDzahwbvS/0pmsFgKtIWsmT5w6Xu0E9ufHvKu7lX5u+JrHTg+cpQXRViCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:11.985674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4007","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91a1d67900706af038197e25a0db22f48e7d038fcce2c1953b7ef2c2f75d575f","sha256:8216a513ea30f460b790f3599583e0a96e49296e5800f5cb6d0636f1fe668d4d"],"state_sha256":"a574f9341e866c2cd15e577e31d9d5da2d4410c9ff7acee4cf774ca1c9e46e41"}