{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YG3VK4IQ2IWS7EXZHRQGS2F5UB","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":"30f7e05d2950b90ab0123410854c109154c9fcc5dee3a85a04fe0222b3a9ae64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-18T03:34:10Z","title_canon_sha256":"22059cc46c5fa159896109326cb4dd4d7e58cac5039b5d7834660cb1495ee732"},"schema_version":"1.0","source":{"id":"1312.5034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5034","created_at":"2026-05-18T03:03:22Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5034v1","created_at":"2026-05-18T03:03:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5034","created_at":"2026-05-18T03:03:22Z"},{"alias_kind":"pith_short_12","alias_value":"YG3VK4IQ2IWS","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YG3VK4IQ2IWS7EXZ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YG3VK4IQ","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:5c3eb60b8debaeefe90629a210a71153b60114a677ee8eb5ebe3c1b9d2898a4a","target":"graph","created_at":"2026-05-18T03:03:22Z","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 construct a $D_4$ flavor model based on SU(3)_C X SU}(3_L X U(1)_X gauge symmetry responsible for fermion masses and mixings. The neutrinos get small masses from antisextets which are in a singlet and a doublet under $D_4$. If the D_4 symmetry is violated as perturbation by a Higgs triplet under SU(3)_L and lying in {1}''' of D_4, the corresponding neutrino mass mixing matrix gets the most general form. In this case, the model can fit the experimental data in 2012 on neutrino masses and mixing. Our results show that the neutrino masses are naturally small and a little deviation from the tri","authors_text":"H. N. Long, V. V. Vien","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-18T03:34:10Z","title":"The D_4 flavor symmery in 3-3-1 model with neutral leptons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5034","kind":"arxiv","version":1},"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:dadf25f37dd1458dea00799795090bf07f1b99d43d5a8135ccc76ddee49913b5","target":"record","created_at":"2026-05-18T03:03:22Z","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":"30f7e05d2950b90ab0123410854c109154c9fcc5dee3a85a04fe0222b3a9ae64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-12-18T03:34:10Z","title_canon_sha256":"22059cc46c5fa159896109326cb4dd4d7e58cac5039b5d7834660cb1495ee732"},"schema_version":"1.0","source":{"id":"1312.5034","kind":"arxiv","version":1}},"canonical_sha256":"c1b7557110d22d2f92f93c606968bda07855be71ebc08c2f907990e49d25b0fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1b7557110d22d2f92f93c606968bda07855be71ebc08c2f907990e49d25b0fa","first_computed_at":"2026-05-18T03:03:22.583792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:03:22.583792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cgNcZSODkMI8P+LRXwfTDU17odso7C+e1bMSknwZqmxYg2eF5UmtkAtiEEkWIzqxIKz1uQzZkZVrMe97gYlXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:03:22.584225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dadf25f37dd1458dea00799795090bf07f1b99d43d5a8135ccc76ddee49913b5","sha256:5c3eb60b8debaeefe90629a210a71153b60114a677ee8eb5ebe3c1b9d2898a4a"],"state_sha256":"fa425cb3127c728b11688866293b555c67503b7be0c2df1430a2be2b22c3aa61"}