{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7IKQGET7T2BQBXRFTQVCB3JJUT","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":"9b9cb5c134377339f51ca701925c6050667593c0d3926a9a165cb8f316de6d1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-21T21:25:11Z","title_canon_sha256":"bffa87c6a11461ac37219e642795ba4c0d6a2170dc59a48655543d534577193a"},"schema_version":"1.0","source":{"id":"1205.4755","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.4755","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"1205.4755v3","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.4755","created_at":"2026-05-18T03:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"7IKQGET7T2BQ","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7IKQGET7T2BQBXRF","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7IKQGET7","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:f8ff0476f09607d39138f61f6e3f37b40bb5c981c6a83b35e91fddfc6ec49855","target":"graph","created_at":"2026-05-18T03:30:02Z","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"},"paper":{"abstract_excerpt":"We discuss the neutrino masses and mixings as the realization of an $S_{3}$ flavour permutational symmetry in two models, namely the Standard Model and an extension of the Standard Model with three Higgs doublets. In the $S_3$ Standard Model, mass matrices of the same generic form are obtained for the neutrinos and charged leptons when the $S_{3}$ flavour symmetry is broken sequentially. In the minimal $S_{3}$-symmetric extension of the Standard Model, the $S_3$ symmetry is left unbroken, and the concept of flavour is extended to the Higgs sector by introducing in the theory three Higgs fields","authors_text":"A. Mondragon, F. Gonzalez Canales, M. Mondragon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-21T21:25:11Z","title":"The $S_3$ flavour symmetry: Neutrino masses and mixings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.4755","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":"sha256:0b1987dccb57d265bbc4fc146a008b6dbf130cf014fb03a1fd6ad9d52d4c998b","target":"record","created_at":"2026-05-18T03:30:02Z","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":"9b9cb5c134377339f51ca701925c6050667593c0d3926a9a165cb8f316de6d1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-21T21:25:11Z","title_canon_sha256":"bffa87c6a11461ac37219e642795ba4c0d6a2170dc59a48655543d534577193a"},"schema_version":"1.0","source":{"id":"1205.4755","kind":"arxiv","version":3}},"canonical_sha256":"fa1503127f9e8300de259c2a20ed29a4d3906a4bd3813b2847389531ab6eb7ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa1503127f9e8300de259c2a20ed29a4d3906a4bd3813b2847389531ab6eb7ff","first_computed_at":"2026-05-18T03:30:02.799958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:02.799958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gs2mo36fTWhRscxzzHRkevPsdTItQefVMY1moaEkW35GVzvk3yaLUsBQntARIUW68GavSplUcj0GSRd/L9/eBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:02.800452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.4755","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b1987dccb57d265bbc4fc146a008b6dbf130cf014fb03a1fd6ad9d52d4c998b","sha256:f8ff0476f09607d39138f61f6e3f37b40bb5c981c6a83b35e91fddfc6ec49855"],"state_sha256":"483b35118a2698e4ad031343161dcd11f3b7f4c818b5976a402a08a6cbf9f264"}