{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ANIRPRN2QJKWZNG7GZPFOKWHYD","short_pith_number":"pith:ANIRPRN2","schema_version":"1.0","canonical_sha256":"035117c5ba82556cb4df365e572ac7c0c4c597bd2fb6479fe49ac58c907cfbe6","source":{"kind":"arxiv","id":"1203.2382","version":2},"attestation_state":"computed","paper":{"title":"SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Yue-Liang Wu","submitted_at":"2012-03-11T22:53:51Z","abstract_excerpt":"A model for the lepton-flavor mixing and CP violation is proposed based on the SU$_F$(3) gauge family symmetry and the Majorana feature of neutrinos. A consistent prediction for the lepton-flavor mixing and masses is shown to be resulted from the appropriate vacuum structure of SU$_F$(3) gauge symmetry breaking. By choosing the SU$_F$(3) gauge fixing condition to possess a residual $Z_2$ symmetry and requiring the vacuum structure of spontaneous symmetry breaking to have approximate global U(1) family symmetries, we obtain naturally the tri-bimaximal mixing matrix and largely degenerate neutri"},"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":"1203.2382","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-11T22:53:51Z","cross_cats_sorted":[],"title_canon_sha256":"48985e3d63e229be9d33bb4a4b7cffbcbb04dba83540ca3b83c28d1276431dff","abstract_canon_sha256":"6c816a952c52fcd2e8098e76c9f93593b4e6f8e5a1f8d6980110d1386443db5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:10.137568Z","signature_b64":"lX1CPEvCbezAsO5sTjkLnWjjHTzwmW4ym8AcPxdXArkjOM71WpyfkmCz/gAxfz6w8WR6IVl6fLT15lkMkLm3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"035117c5ba82556cb4df365e572ac7c0c4c597bd2fb6479fe49ac58c907cfbe6","last_reissued_at":"2026-05-18T01:58:10.136878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:10.136878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Yue-Liang Wu","submitted_at":"2012-03-11T22:53:51Z","abstract_excerpt":"A model for the lepton-flavor mixing and CP violation is proposed based on the SU$_F$(3) gauge family symmetry and the Majorana feature of neutrinos. A consistent prediction for the lepton-flavor mixing and masses is shown to be resulted from the appropriate vacuum structure of SU$_F$(3) gauge symmetry breaking. By choosing the SU$_F$(3) gauge fixing condition to possess a residual $Z_2$ symmetry and requiring the vacuum structure of spontaneous symmetry breaking to have approximate global U(1) family symmetries, we obtain naturally the tri-bimaximal mixing matrix and largely degenerate neutri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2382","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":"1203.2382","created_at":"2026-05-18T01:58:10.136984+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2382v2","created_at":"2026-05-18T01:58:10.136984+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2382","created_at":"2026-05-18T01:58:10.136984+00:00"},{"alias_kind":"pith_short_12","alias_value":"ANIRPRN2QJKW","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"ANIRPRN2QJKWZNG7","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"ANIRPRN2","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.06088","citing_title":"Family Unification in $SO(16)$ Grand Unification","ref_index":96,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD","json":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD.json","graph_json":"https://pith.science/api/pith-number/ANIRPRN2QJKWZNG7GZPFOKWHYD/graph.json","events_json":"https://pith.science/api/pith-number/ANIRPRN2QJKWZNG7GZPFOKWHYD/events.json","paper":"https://pith.science/paper/ANIRPRN2"},"agent_actions":{"view_html":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD","download_json":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD.json","view_paper":"https://pith.science/paper/ANIRPRN2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2382&json=true","fetch_graph":"https://pith.science/api/pith-number/ANIRPRN2QJKWZNG7GZPFOKWHYD/graph.json","fetch_events":"https://pith.science/api/pith-number/ANIRPRN2QJKWZNG7GZPFOKWHYD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD/action/storage_attestation","attest_author":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD/action/author_attestation","sign_citation":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD/action/citation_signature","submit_replication":"https://pith.science/pith/ANIRPRN2QJKWZNG7GZPFOKWHYD/action/replication_record"}},"created_at":"2026-05-18T01:58:10.136984+00:00","updated_at":"2026-05-18T01:58:10.136984+00:00"}