{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:I6TT3QTARYWAL5QFWZJZPCOTZ5","short_pith_number":"pith:I6TT3QTA","schema_version":"1.0","canonical_sha256":"47a73dc2608e2c05f605b6539789d3cf64ec6d1bde96e4c15555bf0d3406705b","source":{"kind":"arxiv","id":"1705.00309","version":2},"attestation_state":"computed","paper":{"title":"Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. V. Titov, J. T. Penedo, S. T. Petcov","submitted_at":"2017-04-30T12:50:57Z","abstract_excerpt":"We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2 \\times H^\\nu_{\\rm CP}$ symmetries in the charged lepton and neutrino sectors, respectively, $H^\\nu_{\\rm CP}$ being a remnant CP symmetry of the neutrino Majorana mass term. In this set-up the neutrino mixing angles and CP violation (CPV) phases of the neutrino mixing matrix depend on three real parameters - two angles and a phase. We classify all phenomenologically viable mixing patterns and derive predictions for the Dirac and"},"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":"1705.00309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-04-30T12:50:57Z","cross_cats_sorted":[],"title_canon_sha256":"8cd324e8038042291983d121470791abceb029c5035cc6702fb4d7933e5f66ae","abstract_canon_sha256":"166c1c25046256123dcc173dccfe6c4fe151e3c806c28c94dee72cefca8da3fc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:40.874581Z","signature_b64":"Oob+2cdokn4fa5nc7taR+wZ5OO8rYDtguSDwgu9XslZSfq9XQ2J4n7/pYbhpuA8btkgL6DOXyiuAjrQp3IHbDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47a73dc2608e2c05f605b6539789d3cf64ec6d1bde96e4c15555bf0d3406705b","last_reissued_at":"2026-05-18T00:28:40.873848Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:40.873848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Neutrino Mixing and Leptonic CP Violation from $S_4$ Flavour and Generalised CP Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. V. Titov, J. T. Penedo, S. T. Petcov","submitted_at":"2017-04-30T12:50:57Z","abstract_excerpt":"We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2 \\times H^\\nu_{\\rm CP}$ symmetries in the charged lepton and neutrino sectors, respectively, $H^\\nu_{\\rm CP}$ being a remnant CP symmetry of the neutrino Majorana mass term. In this set-up the neutrino mixing angles and CP violation (CPV) phases of the neutrino mixing matrix depend on three real parameters - two angles and a phase. We classify all phenomenologically viable mixing patterns and derive predictions for the Dirac and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.00309","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":"1705.00309","created_at":"2026-05-18T00:28:40.873990+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.00309v2","created_at":"2026-05-18T00:28:40.873990+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.00309","created_at":"2026-05-18T00:28:40.873990+00:00"},{"alias_kind":"pith_short_12","alias_value":"I6TT3QTARYWA","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"I6TT3QTARYWAL5QF","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"I6TT3QTA","created_at":"2026-05-18T12:31:21.493067+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/I6TT3QTARYWAL5QFWZJZPCOTZ5","json":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5.json","graph_json":"https://pith.science/api/pith-number/I6TT3QTARYWAL5QFWZJZPCOTZ5/graph.json","events_json":"https://pith.science/api/pith-number/I6TT3QTARYWAL5QFWZJZPCOTZ5/events.json","paper":"https://pith.science/paper/I6TT3QTA"},"agent_actions":{"view_html":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5","download_json":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5.json","view_paper":"https://pith.science/paper/I6TT3QTA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.00309&json=true","fetch_graph":"https://pith.science/api/pith-number/I6TT3QTARYWAL5QFWZJZPCOTZ5/graph.json","fetch_events":"https://pith.science/api/pith-number/I6TT3QTARYWAL5QFWZJZPCOTZ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5/action/storage_attestation","attest_author":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5/action/author_attestation","sign_citation":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5/action/citation_signature","submit_replication":"https://pith.science/pith/I6TT3QTARYWAL5QFWZJZPCOTZ5/action/replication_record"}},"created_at":"2026-05-18T00:28:40.873990+00:00","updated_at":"2026-05-18T00:28:40.873990+00:00"}