{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KALIM4SB5ESFFVRIHSFPUIFM45","short_pith_number":"pith:KALIM4SB","schema_version":"1.0","canonical_sha256":"5016867241e92452d6283c8afa20ace742b1c69cc94f310acadf70408ef3e66e","source":{"kind":"arxiv","id":"1710.03229","version":2},"attestation_state":"computed","paper":{"title":"$\\mathbf{SO(10)}\\times \\mathbf{S_4} $ Grand Unified Theory of Flavour and Leptogenesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Elena Perdomo, Francisco J. de Anda, Stephen F. King","submitted_at":"2017-10-09T18:00:01Z","abstract_excerpt":"We propose a Grand Unified Theory of Flavour, based on $SO(10)$ together with a non-Abelian discrete group $S_4$, under which the unified three quark and lepton 16-plets are unified into a single triplet $3'$. The model involves a further discrete group $ \\mathbb{Z}_4^R\\times \\mathbb{Z}_4^3$ which controls the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum alignment is discussed, along with the GUT breaking potential and the doublet-triplet splitting, and proton decay is shown to be under control. The Yukawa matrices are derived in detail, from renormalisable diagrams, 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":"1710.03229","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-10-09T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"afae40028f7efb2eb0a6a94cf00f7d49ef90333e2b90cbe61726aa9a1b285b5e","abstract_canon_sha256":"0c555fc2bbe133ecfcd83e52fa98899343083d21a24d121adcd0ff2e03ea0acc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:30.058731Z","signature_b64":"AyEkUXTipIC2xclDnevRBeti8XW1x+1WqJ05g3NnU3QGwt1n4MwJP4zlNyftgLVn84HOdmwp45jEaluAvcnTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5016867241e92452d6283c8afa20ace742b1c69cc94f310acadf70408ef3e66e","last_reissued_at":"2026-05-18T00:27:30.057846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:30.057846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\mathbf{SO(10)}\\times \\mathbf{S_4} $ Grand Unified Theory of Flavour and Leptogenesis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Elena Perdomo, Francisco J. de Anda, Stephen F. King","submitted_at":"2017-10-09T18:00:01Z","abstract_excerpt":"We propose a Grand Unified Theory of Flavour, based on $SO(10)$ together with a non-Abelian discrete group $S_4$, under which the unified three quark and lepton 16-plets are unified into a single triplet $3'$. The model involves a further discrete group $ \\mathbb{Z}_4^R\\times \\mathbb{Z}_4^3$ which controls the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum alignment is discussed, along with the GUT breaking potential and the doublet-triplet splitting, and proton decay is shown to be under control. The Yukawa matrices are derived in detail, from renormalisable diagrams, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03229","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":"1710.03229","created_at":"2026-05-18T00:27:30.058006+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.03229v2","created_at":"2026-05-18T00:27:30.058006+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03229","created_at":"2026-05-18T00:27:30.058006+00:00"},{"alias_kind":"pith_short_12","alias_value":"KALIM4SB5ESF","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KALIM4SB5ESFFVRI","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KALIM4SB","created_at":"2026-05-18T12:31:24.725408+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/KALIM4SB5ESFFVRIHSFPUIFM45","json":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45.json","graph_json":"https://pith.science/api/pith-number/KALIM4SB5ESFFVRIHSFPUIFM45/graph.json","events_json":"https://pith.science/api/pith-number/KALIM4SB5ESFFVRIHSFPUIFM45/events.json","paper":"https://pith.science/paper/KALIM4SB"},"agent_actions":{"view_html":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45","download_json":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45.json","view_paper":"https://pith.science/paper/KALIM4SB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.03229&json=true","fetch_graph":"https://pith.science/api/pith-number/KALIM4SB5ESFFVRIHSFPUIFM45/graph.json","fetch_events":"https://pith.science/api/pith-number/KALIM4SB5ESFFVRIHSFPUIFM45/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45/action/storage_attestation","attest_author":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45/action/author_attestation","sign_citation":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45/action/citation_signature","submit_replication":"https://pith.science/pith/KALIM4SB5ESFFVRIHSFPUIFM45/action/replication_record"}},"created_at":"2026-05-18T00:27:30.058006+00:00","updated_at":"2026-05-18T00:27:30.058006+00:00"}