{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:27GM2CNUNE7VH2SS44GZLEFSKK","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":"1ca312234ceecc5eef9647d97c29298a81417d9cad2b8bded78b76e5d7953b2c","cross_cats_sorted":["astro-ph.IM","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-07-09T18:00:02Z","title_canon_sha256":"12f1ba01c5e69b520333ec0a94371bb56924c6cd61025ce5886546c31e92b412"},"schema_version":"1.0","source":{"id":"1907.04331","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04331","created_at":"2026-07-05T00:55:02Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04331v3","created_at":"2026-07-05T00:55:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04331","created_at":"2026-07-05T00:55:02Z"},{"alias_kind":"pith_short_12","alias_value":"27GM2CNUNE7V","created_at":"2026-07-05T00:55:02Z"},{"alias_kind":"pith_short_16","alias_value":"27GM2CNUNE7VH2SS","created_at":"2026-07-05T00:55:02Z"},{"alias_kind":"pith_short_8","alias_value":"27GM2CNU","created_at":"2026-07-05T00:55:02Z"}],"graph_snapshots":[{"event_id":"sha256:d5c8f751f60b706e311ba449bfc2ed55a11b801c8ad1dcdd28e6fa31c3f06642","target":"graph","created_at":"2026-07-05T00:55:02Z","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/1907.04331/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recent works combining neutrino oscillation and cosmological data to determine the neutrino hierarchy found a range of odds in favour of the normal hierarchy. These results arise from differing approaches to incorporating prior knowledge about neutrinos. We develop a hierarchy-agnostic prior and show that the hierarchy cannot be conclusively determined with current data. The determination of the hierarchy is limited by the neutrino mass scale $\\Sigma_{\\nu}$ measurement. We obtain a target precision of $\\sigma(\\Sigma_{\\nu}) = 0.014$ eV, necessary for conclusively establishing the normal hierarc","authors_text":"Andreas Korn, Benjamin Joachimi, Boris Leistedt, Constance Mahony, Hiranya V. Peiris, Jonathan Braden, Linda Cremonesi, Ryan Nichol","cross_cats":["astro-ph.IM","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-07-09T18:00:02Z","title":"Target Neutrino Mass Precision for Determining the Neutrino Hierarchy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04331","kind":"arxiv","version":3},"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":"sha256:317264c08c93522d3ed0601fb25f9f857a5db92c87a26f9cd68874ce1c57f978","target":"record","created_at":"2026-07-05T00:55:02Z","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":"1ca312234ceecc5eef9647d97c29298a81417d9cad2b8bded78b76e5d7953b2c","cross_cats_sorted":["astro-ph.IM","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2019-07-09T18:00:02Z","title_canon_sha256":"12f1ba01c5e69b520333ec0a94371bb56924c6cd61025ce5886546c31e92b412"},"schema_version":"1.0","source":{"id":"1907.04331","kind":"arxiv","version":3}},"canonical_sha256":"d7cccd09b4693f53ea52e70d9590b2528b28ced75c09ed40061f353015f36a95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7cccd09b4693f53ea52e70d9590b2528b28ced75c09ed40061f353015f36a95","first_computed_at":"2026-07-05T00:55:02.632216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:55:02.632216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pzemUGK32iXF53uMwz0M5SauqFT8lfIbDJUrxP94jzNfdDL2VoIJoyj0L1BbTqxhr6iG1sIAuzSiIn7R/0ZjDA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:55:02.632671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.04331","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:317264c08c93522d3ed0601fb25f9f857a5db92c87a26f9cd68874ce1c57f978","sha256:d5c8f751f60b706e311ba449bfc2ed55a11b801c8ad1dcdd28e6fa31c3f06642"],"state_sha256":"04422dac46049f39fb5f57c5a2b5dae8f036978bdd726bf46410f0e44af8ddc3"}