{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5ZYDZKT4WNJE5G2RLAHWOCSZ7C","short_pith_number":"pith:5ZYDZKT4","schema_version":"1.0","canonical_sha256":"ee703caa7cb3524e9b51580f670a59f8b3f0530f27749d35e2e290fec32636a7","source":{"kind":"arxiv","id":"1507.06221","version":3},"attestation_state":"computed","paper":{"title":"Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Morimitsu Tanimoto, Yusuke Shimizu","submitted_at":"2015-07-22T15:08:57Z","abstract_excerpt":"We propose two new simple lepton flavor models in the framework of the $S_4$ flavor symmetry. The neutrino mass matrices, which are given by two complex parameters, lead to the inverted mass hierarchy. The charged lepton mass matrix has the 1-2 lepton flavor mixing, which gives the non-vanishing reactor angle $\\theta_{13}$. These models predict the Dirac phase and the Majorana phases, which are testable in the future experiments. The predicted magnitudes of the effective neutrino mass for the neutrino-less double beta decay are in the regions as $32~\\text{meV}\\lesssim |m_{ee}|\\lesssim 49~\\text"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.06221","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-22T15:08:57Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"3cefd23ab94cf693ec16aa864107fdc86d60e6615a5fc9e62941f01e6269ab5f","abstract_canon_sha256":"60e856cefcc6d0f57a296ea4f1f3389d04c00f9a2418e495dc7632d1522ec743"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:54.879237Z","signature_b64":"m0ck1gVKL4PZiPuuBalR+bWO3kevcuIIQ2VKBAuzM/+PaBDPXeLAhxrXuIVy7g7LJDO462EQ0T3lEkrthV30Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee703caa7cb3524e9b51580f670a59f8b3f0530f27749d35e2e290fec32636a7","last_reissued_at":"2026-05-18T01:21:54.878528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:54.878528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Morimitsu Tanimoto, Yusuke Shimizu","submitted_at":"2015-07-22T15:08:57Z","abstract_excerpt":"We propose two new simple lepton flavor models in the framework of the $S_4$ flavor symmetry. The neutrino mass matrices, which are given by two complex parameters, lead to the inverted mass hierarchy. The charged lepton mass matrix has the 1-2 lepton flavor mixing, which gives the non-vanishing reactor angle $\\theta_{13}$. These models predict the Dirac phase and the Majorana phases, which are testable in the future experiments. The predicted magnitudes of the effective neutrino mass for the neutrino-less double beta decay are in the regions as $32~\\text{meV}\\lesssim |m_{ee}|\\lesssim 49~\\text"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06221","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.06221","created_at":"2026-05-18T01:21:54.878635+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.06221v3","created_at":"2026-05-18T01:21:54.878635+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06221","created_at":"2026-05-18T01:21:54.878635+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ZYDZKT4WNJE","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ZYDZKT4WNJE5G2R","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ZYDZKT4","created_at":"2026-05-18T12:29:07.941421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C","json":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C.json","graph_json":"https://pith.science/api/pith-number/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/graph.json","events_json":"https://pith.science/api/pith-number/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/events.json","paper":"https://pith.science/paper/5ZYDZKT4"},"agent_actions":{"view_html":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C","download_json":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C.json","view_paper":"https://pith.science/paper/5ZYDZKT4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.06221&json=true","fetch_graph":"https://pith.science/api/pith-number/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/graph.json","fetch_events":"https://pith.science/api/pith-number/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/action/storage_attestation","attest_author":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/action/author_attestation","sign_citation":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/action/citation_signature","submit_replication":"https://pith.science/pith/5ZYDZKT4WNJE5G2RLAHWOCSZ7C/action/replication_record"}},"created_at":"2026-05-18T01:21:54.878635+00:00","updated_at":"2026-05-18T01:21:54.878635+00:00"}