{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:BI63MI3LQW6DI5S5EUJYSJ63WQ","short_pith_number":"pith:BI63MI3L","schema_version":"1.0","canonical_sha256":"0a3db6236b85bc34765d25138927dbb413bc24480e9a0f0c5db25698f19ab029","source":{"kind":"arxiv","id":"1004.4234","version":2},"attestation_state":"computed","paper":{"title":"Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Deshan Yang, Shun Zhou, Zhi-zhong Xing","submitted_at":"2010-04-23T22:29:30Z","abstract_excerpt":"We apply the discrete S_3 flavor symmetry to both lepton and quark sectors of the standard model extended by introducing one Higgs triplet and realizing the type-II seesaw mechanism for finite neutrino masses. The resultant mass matrices of charged leptons (M_l), neutrinos (M_nu), up-type quarks (M_u) and down-type quarks (M_d) have a universal form consisting of two terms: one is proportional to the identity matrix I and the other is proportional to the democracy matrix D. We argue that the textures of M_l, M_u and M_d are dominated by the D term, while that of M_nu is dominated by the I term"},"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":"1004.4234","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-04-23T22:29:30Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"d9dd2df158d28fccdb98c27977855fc9272afcced7f3e0839a1f834944f70961","abstract_canon_sha256":"dcb9cfcb53031cf7e4649f5bd21bd9ea8fdf172bd4f0e80b35091cf559402587"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:33.584466Z","signature_b64":"hlpHPw05eZUuohpePZHPWXJz7QrYcGfs4BvBZqBQ0+XWk6Q74lO2gAQRsmCGzcKJvxvLzCiLtAf7i/KQN5QSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a3db6236b85bc34765d25138927dbb413bc24480e9a0f0c5db25698f19ab029","last_reissued_at":"2026-05-18T02:33:33.583952Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:33.583952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Broken S_3 Flavor Symmetry of Leptons and Quarks: Mass Spectra and Flavor Mixing Patterns","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"Deshan Yang, Shun Zhou, Zhi-zhong Xing","submitted_at":"2010-04-23T22:29:30Z","abstract_excerpt":"We apply the discrete S_3 flavor symmetry to both lepton and quark sectors of the standard model extended by introducing one Higgs triplet and realizing the type-II seesaw mechanism for finite neutrino masses. The resultant mass matrices of charged leptons (M_l), neutrinos (M_nu), up-type quarks (M_u) and down-type quarks (M_d) have a universal form consisting of two terms: one is proportional to the identity matrix I and the other is proportional to the democracy matrix D. We argue that the textures of M_l, M_u and M_d are dominated by the D term, while that of M_nu is dominated by the I term"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4234","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":"1004.4234","created_at":"2026-05-18T02:33:33.584036+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.4234v2","created_at":"2026-05-18T02:33:33.584036+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4234","created_at":"2026-05-18T02:33:33.584036+00:00"},{"alias_kind":"pith_short_12","alias_value":"BI63MI3LQW6D","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BI63MI3LQW6DI5S5","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BI63MI3L","created_at":"2026-05-18T12:26:05.355336+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/BI63MI3LQW6DI5S5EUJYSJ63WQ","json":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ.json","graph_json":"https://pith.science/api/pith-number/BI63MI3LQW6DI5S5EUJYSJ63WQ/graph.json","events_json":"https://pith.science/api/pith-number/BI63MI3LQW6DI5S5EUJYSJ63WQ/events.json","paper":"https://pith.science/paper/BI63MI3L"},"agent_actions":{"view_html":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ","download_json":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ.json","view_paper":"https://pith.science/paper/BI63MI3L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.4234&json=true","fetch_graph":"https://pith.science/api/pith-number/BI63MI3LQW6DI5S5EUJYSJ63WQ/graph.json","fetch_events":"https://pith.science/api/pith-number/BI63MI3LQW6DI5S5EUJYSJ63WQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ/action/storage_attestation","attest_author":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ/action/author_attestation","sign_citation":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ/action/citation_signature","submit_replication":"https://pith.science/pith/BI63MI3LQW6DI5S5EUJYSJ63WQ/action/replication_record"}},"created_at":"2026-05-18T02:33:33.584036+00:00","updated_at":"2026-05-18T02:33:33.584036+00:00"}