{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:UXJUTO5GKFFUACDHQZVTLYCBEL","short_pith_number":"pith:UXJUTO5G","schema_version":"1.0","canonical_sha256":"a5d349bba6514b400867866b35e04122ec206bfe5c5c1d6afa0495415ac29e6e","source":{"kind":"arxiv","id":"1312.4401","version":2},"attestation_state":"computed","paper":{"title":"Generalised CP and Trimaximal TM$_1$ Lepton Mixing in $S_4$ Family Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Cai-Chang Li, Gui-Jun Ding","submitted_at":"2013-12-16T15:34:19Z","abstract_excerpt":"We construct two flavor models based on $S_4$ family symmetry and generalised CP symmetry. In both models, the $S_4$ family symmetry is broken down to the $Z^{SU}_2$ subgroup in the neutrino sector, as a consequence, the trimaximal $\\text{TM}_1$ lepton mixing is produced. Depending on the free parameters in the flavon potential, the Dirac CP is predicted to be either conserved or maximally broken, and the Majorana CP phases are trivial. The two models differ in the neutrino sector. The flavon fields are involved in the Dirac mass terms at leading order in the first model, and the neutrino mass"},"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":"1312.4401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-16T15:34:19Z","cross_cats_sorted":[],"title_canon_sha256":"aca91f3b5ea18917c48410f25fb3852c985b8a81828dda638582cf874291d0e0","abstract_canon_sha256":"acdae0739a46d97144dbc994343edd2aa5c45996242dd6efd99f430bd0ecafd9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:45.186368Z","signature_b64":"mt4usXp+XfPSWs60YgQCybNKB0+vp0di6YLkQ5hCf25cBu0GeM6I0J00viGhCwwZb7/+7Ad2NACj3U/aykJ/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5d349bba6514b400867866b35e04122ec206bfe5c5c1d6afa0495415ac29e6e","last_reissued_at":"2026-05-18T02:58:45.185542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:45.185542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalised CP and Trimaximal TM$_1$ Lepton Mixing in $S_4$ Family Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Cai-Chang Li, Gui-Jun Ding","submitted_at":"2013-12-16T15:34:19Z","abstract_excerpt":"We construct two flavor models based on $S_4$ family symmetry and generalised CP symmetry. In both models, the $S_4$ family symmetry is broken down to the $Z^{SU}_2$ subgroup in the neutrino sector, as a consequence, the trimaximal $\\text{TM}_1$ lepton mixing is produced. Depending on the free parameters in the flavon potential, the Dirac CP is predicted to be either conserved or maximally broken, and the Majorana CP phases are trivial. The two models differ in the neutrino sector. The flavon fields are involved in the Dirac mass terms at leading order in the first model, and the neutrino mass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4401","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1312.4401","created_at":"2026-05-18T02:58:45.185673+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.4401v2","created_at":"2026-05-18T02:58:45.185673+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4401","created_at":"2026-05-18T02:58:45.185673+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXJUTO5GKFFU","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXJUTO5GKFFUACDH","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXJUTO5G","created_at":"2026-05-18T12:28:02.375192+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/UXJUTO5GKFFUACDHQZVTLYCBEL","json":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL.json","graph_json":"https://pith.science/api/pith-number/UXJUTO5GKFFUACDHQZVTLYCBEL/graph.json","events_json":"https://pith.science/api/pith-number/UXJUTO5GKFFUACDHQZVTLYCBEL/events.json","paper":"https://pith.science/paper/UXJUTO5G"},"agent_actions":{"view_html":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL","download_json":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL.json","view_paper":"https://pith.science/paper/UXJUTO5G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.4401&json=true","fetch_graph":"https://pith.science/api/pith-number/UXJUTO5GKFFUACDHQZVTLYCBEL/graph.json","fetch_events":"https://pith.science/api/pith-number/UXJUTO5GKFFUACDHQZVTLYCBEL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL/action/storage_attestation","attest_author":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL/action/author_attestation","sign_citation":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL/action/citation_signature","submit_replication":"https://pith.science/pith/UXJUTO5GKFFUACDHQZVTLYCBEL/action/replication_record"}},"created_at":"2026-05-18T02:58:45.185673+00:00","updated_at":"2026-05-18T02:58:45.185673+00:00"}