{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7HEIWF7DM7IMLQNO3LBVQ3KEQF","short_pith_number":"pith:7HEIWF7D","schema_version":"1.0","canonical_sha256":"f9c88b17e367d0c5c1aedac3586d44814a2455e525ee9ce93a3456ca5d9fcb7c","source":{"kind":"arxiv","id":"1607.06812","version":2},"attestation_state":"computed","paper":{"title":"Delta(54) flavor phenomenology and strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Brenda Carballo-Perez, Eduardo Peinado, Saul Ramos-Sanchez","submitted_at":"2016-07-22T20:00:01Z","abstract_excerpt":"Delta(54) can serve as a flavor symmetry in particle physics, but remains almost unexplored. We show that in a classification of semi-realistic Z3xZ3 heterotic string orbifolds, Delta(54) turns out to be the most natural flavor symmetry, providing additional motivation for its study. We revisit its phenomenological potential from a low-energy perspective and subject to the constraints of string models. We find a model with Delta(54) arising from heterotic orbifolds that leads to the Gatto-Sartori-Tonin relation for quarks and charged-leptons. Additionally, in the neutrino sector, it leads to a"},"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":"1607.06812","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-07-22T20:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f5b2586925100159c1b28374436c0983ecd76b0545608da54ba17bb13ad69b21","abstract_canon_sha256":"6c3e663f9b20d8a57b0f7025abf0fda392e2441d94fd35dfa708007bee59c61e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:47.693526Z","signature_b64":"K9uhYfIdVLTlQ8y0zcM+ek3/Zc5OVc0BX31+N0nrAiSxrQID5mfKZB/1cgh6eLklacdxqDo6Owpmq9YNBTIyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9c88b17e367d0c5c1aedac3586d44814a2455e525ee9ce93a3456ca5d9fcb7c","last_reissued_at":"2026-05-18T00:51:47.692806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:47.692806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Delta(54) flavor phenomenology and strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Brenda Carballo-Perez, Eduardo Peinado, Saul Ramos-Sanchez","submitted_at":"2016-07-22T20:00:01Z","abstract_excerpt":"Delta(54) can serve as a flavor symmetry in particle physics, but remains almost unexplored. We show that in a classification of semi-realistic Z3xZ3 heterotic string orbifolds, Delta(54) turns out to be the most natural flavor symmetry, providing additional motivation for its study. We revisit its phenomenological potential from a low-energy perspective and subject to the constraints of string models. We find a model with Delta(54) arising from heterotic orbifolds that leads to the Gatto-Sartori-Tonin relation for quarks and charged-leptons. Additionally, in the neutrino sector, it leads to a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06812","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":"1607.06812","created_at":"2026-05-18T00:51:47.692920+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.06812v2","created_at":"2026-05-18T00:51:47.692920+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06812","created_at":"2026-05-18T00:51:47.692920+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HEIWF7DM7IM","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HEIWF7DM7IMLQNO","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HEIWF7D","created_at":"2026-05-18T12:30:04.600751+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/7HEIWF7DM7IMLQNO3LBVQ3KEQF","json":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF.json","graph_json":"https://pith.science/api/pith-number/7HEIWF7DM7IMLQNO3LBVQ3KEQF/graph.json","events_json":"https://pith.science/api/pith-number/7HEIWF7DM7IMLQNO3LBVQ3KEQF/events.json","paper":"https://pith.science/paper/7HEIWF7D"},"agent_actions":{"view_html":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF","download_json":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF.json","view_paper":"https://pith.science/paper/7HEIWF7D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.06812&json=true","fetch_graph":"https://pith.science/api/pith-number/7HEIWF7DM7IMLQNO3LBVQ3KEQF/graph.json","fetch_events":"https://pith.science/api/pith-number/7HEIWF7DM7IMLQNO3LBVQ3KEQF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF/action/storage_attestation","attest_author":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF/action/author_attestation","sign_citation":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF/action/citation_signature","submit_replication":"https://pith.science/pith/7HEIWF7DM7IMLQNO3LBVQ3KEQF/action/replication_record"}},"created_at":"2026-05-18T00:51:47.692920+00:00","updated_at":"2026-05-18T00:51:47.692920+00:00"}