{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:AGV4ORBAU3ABVHDIYIOLINUT7D","short_pith_number":"pith:AGV4ORBA","schema_version":"1.0","canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","source":{"kind":"arxiv","id":"1912.13284","version":2},"attestation_state":"computed","paper":{"title":"Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Xin Wang","submitted_at":"2019-12-31T12:13:26Z","abstract_excerpt":"In this paper, we study the implications of the modular $A^{}_4$ flavor symmetry in constructing a supersymmetric minimal type-(I+II) seesaw model, in which only one right-handed neutrino and two Higgs triplets are introduced to account for the tiny neutrino masses, flavor mixing and CP violation. The right-handed neutrino as well as the Higgs triplets in this model are assigned into the trivial one-dimensional irreducible representation of the modular group $A^{}_{4}$. We show that the individual contributions to the neutrino masses from the right-handed neutrino and the Higgs triplet are com"},"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":"1912.13284","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-12-31T12:13:26Z","cross_cats_sorted":[],"title_canon_sha256":"85732b4f5943875701c7184370cf7c1610fdf08f6b478a89946aca167c8c72b9","abstract_canon_sha256":"b616814486a5c3534d2fa67b63a5ba042182bb6443a5a388810c7e7abfc3b0ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:29:48.286614Z","signature_b64":"OtnZqWLaRhQtvgiGYIwF6nXv/Vdh3gQad+pVpqL13amvle+m8BmKgpK6P/DoyD24zUbevpRkuug5m6y35pinAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01abc74420a6c01a9c68c21cb43693f8cd2c9d90ac072ad1f9e37915bef45c3e","last_reissued_at":"2026-07-05T01:29:48.286196Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:29:48.286196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Xin Wang","submitted_at":"2019-12-31T12:13:26Z","abstract_excerpt":"In this paper, we study the implications of the modular $A^{}_4$ flavor symmetry in constructing a supersymmetric minimal type-(I+II) seesaw model, in which only one right-handed neutrino and two Higgs triplets are introduced to account for the tiny neutrino masses, flavor mixing and CP violation. The right-handed neutrino as well as the Higgs triplets in this model are assigned into the trivial one-dimensional irreducible representation of the modular group $A^{}_{4}$. We show that the individual contributions to the neutrino masses from the right-handed neutrino and the Higgs triplet are com"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.13284","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/1912.13284/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":"1912.13284","created_at":"2026-07-05T01:29:48.286254+00:00"},{"alias_kind":"arxiv_version","alias_value":"1912.13284v2","created_at":"2026-07-05T01:29:48.286254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.13284","created_at":"2026-07-05T01:29:48.286254+00:00"},{"alias_kind":"pith_short_12","alias_value":"AGV4ORBAU3AB","created_at":"2026-07-05T01:29:48.286254+00:00"},{"alias_kind":"pith_short_16","alias_value":"AGV4ORBAU3ABVHDI","created_at":"2026-07-05T01:29:48.286254+00:00"},{"alias_kind":"pith_short_8","alias_value":"AGV4ORBA","created_at":"2026-07-05T01:29:48.286254+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/AGV4ORBAU3ABVHDIYIOLINUT7D","json":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D.json","graph_json":"https://pith.science/api/pith-number/AGV4ORBAU3ABVHDIYIOLINUT7D/graph.json","events_json":"https://pith.science/api/pith-number/AGV4ORBAU3ABVHDIYIOLINUT7D/events.json","paper":"https://pith.science/paper/AGV4ORBA"},"agent_actions":{"view_html":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D","download_json":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D.json","view_paper":"https://pith.science/paper/AGV4ORBA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1912.13284&json=true","fetch_graph":"https://pith.science/api/pith-number/AGV4ORBAU3ABVHDIYIOLINUT7D/graph.json","fetch_events":"https://pith.science/api/pith-number/AGV4ORBAU3ABVHDIYIOLINUT7D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/action/storage_attestation","attest_author":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/action/author_attestation","sign_citation":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/action/citation_signature","submit_replication":"https://pith.science/pith/AGV4ORBAU3ABVHDIYIOLINUT7D/action/replication_record"}},"created_at":"2026-07-05T01:29:48.286254+00:00","updated_at":"2026-07-05T01:29:48.286254+00:00"}