{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:A4JTPCA6VAOOQQXLPG7XB7AWZG","short_pith_number":"pith:A4JTPCA6","schema_version":"1.0","canonical_sha256":"071337881ea81ce842eb79bf70fc16c988304f9bf182bbc452e9e66ce009c12f","source":{"kind":"arxiv","id":"2307.03384","version":2},"attestation_state":"computed","paper":{"title":"Modular flavor symmetric models","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Morimitsu Tanimoto, Tatsuo Kobayashi","submitted_at":"2023-07-07T04:46:12Z","abstract_excerpt":"We review the modular flavor symmetric models of quarks and leptons focusing on our works. We present some flavor models of quarks and leptons by using finite modular groups and discuss the phenomenological implications. The modular flavor symmetry gives interesting phenomena at the fixed point of modulus. As a representative, we show the successful texture structure at the fixed point $\\tau = \\omega$. We also study CP violation, which occurs through the modulus stabilization. Finally, we study SMEFT with modular flavor symmetry by including higher dimensional operators."},"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":"2307.03384","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-ph","submitted_at":"2023-07-07T04:46:12Z","cross_cats_sorted":[],"title_canon_sha256":"6d3e953fa64bd4a81634a0651531684749c5ae1a2a9da094d2da24356abb1f0a","abstract_canon_sha256":"905a8c843735445e352503d6ebcb5139fb592bcf31380c719a20e30dbe713c57"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:31:32.780734Z","signature_b64":"FLr+TKyHd7U1h8Y4lodduZnWAgt6ta6tdAPvTfJXRYcz8bkCUvsQ24N5O6p0EOrHlnReaNWQp7kWgFZrIe5SBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"071337881ea81ce842eb79bf70fc16c988304f9bf182bbc452e9e66ce009c12f","last_reissued_at":"2026-07-05T06:31:32.780236Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:31:32.780236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular flavor symmetric models","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Morimitsu Tanimoto, Tatsuo Kobayashi","submitted_at":"2023-07-07T04:46:12Z","abstract_excerpt":"We review the modular flavor symmetric models of quarks and leptons focusing on our works. We present some flavor models of quarks and leptons by using finite modular groups and discuss the phenomenological implications. The modular flavor symmetry gives interesting phenomena at the fixed point of modulus. As a representative, we show the successful texture structure at the fixed point $\\tau = \\omega$. We also study CP violation, which occurs through the modulus stabilization. Finally, we study SMEFT with modular flavor symmetry by including higher dimensional operators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.03384","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.03384/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2307.03384","created_at":"2026-07-05T06:31:32.780294+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.03384v2","created_at":"2026-07-05T06:31:32.780294+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.03384","created_at":"2026-07-05T06:31:32.780294+00:00"},{"alias_kind":"pith_short_12","alias_value":"A4JTPCA6VAOO","created_at":"2026-07-05T06:31:32.780294+00:00"},{"alias_kind":"pith_short_16","alias_value":"A4JTPCA6VAOOQQXL","created_at":"2026-07-05T06:31:32.780294+00:00"},{"alias_kind":"pith_short_8","alias_value":"A4JTPCA6","created_at":"2026-07-05T06:31:32.780294+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07865","citing_title":"Lepton mixing from the $\\Delta(96)$ Modular Littlest Seesaw","ref_index":28,"is_internal_anchor":true},{"citing_arxiv_id":"2606.25027","citing_title":"Fermion mass relations in one-parameter modular models","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2606.24277","citing_title":"Non-holomorphic $S^{\\prime}_{4}$ modular symmetry for leptons and leptogenesis","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2607.00528","citing_title":"Finite modular Coleman-Weinberg inflation","ref_index":16,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05291","citing_title":"The Future of Lepton Flavor","ref_index":217,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28141","citing_title":"More about modular symmetries and non-invertible properties in magnetized compactifications","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2503.21432","citing_title":"Exploring the flavor structure of leptons via diffusion models","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2509.10373","citing_title":"The Seesaw Evaded Modular Dirac Framework","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21979","citing_title":"Quark hierarchies and CP violation from the Siegel modular group","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06635","citing_title":"Massive modes on magnetized blow-up manifold of $T^2/\\mathbb{Z}_N$","ref_index":70,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG","json":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG.json","graph_json":"https://pith.science/api/pith-number/A4JTPCA6VAOOQQXLPG7XB7AWZG/graph.json","events_json":"https://pith.science/api/pith-number/A4JTPCA6VAOOQQXLPG7XB7AWZG/events.json","paper":"https://pith.science/paper/A4JTPCA6"},"agent_actions":{"view_html":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG","download_json":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG.json","view_paper":"https://pith.science/paper/A4JTPCA6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.03384&json=true","fetch_graph":"https://pith.science/api/pith-number/A4JTPCA6VAOOQQXLPG7XB7AWZG/graph.json","fetch_events":"https://pith.science/api/pith-number/A4JTPCA6VAOOQQXLPG7XB7AWZG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG/action/storage_attestation","attest_author":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG/action/author_attestation","sign_citation":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG/action/citation_signature","submit_replication":"https://pith.science/pith/A4JTPCA6VAOOQQXLPG7XB7AWZG/action/replication_record"}},"created_at":"2026-07-05T06:31:32.780294+00:00","updated_at":"2026-07-05T06:31:32.780294+00:00"}