{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:36DWGQL2GHKIUOYEY73H73A7D2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"80876d67b2f616f78cefd73ea9c4ac29db1df13badee0021fd204048708a4f08","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-08T20:33:00Z","title_canon_sha256":"b0ecfd9cabdccbe08ed850cb44db83056c1d46a1b7a93556c9f6a191a4049472"},"schema_version":"1.0","source":{"id":"2211.04546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.04546","created_at":"2026-07-05T05:39:24Z"},{"alias_kind":"arxiv_version","alias_value":"2211.04546v1","created_at":"2026-07-05T05:39:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.04546","created_at":"2026-07-05T05:39:24Z"},{"alias_kind":"pith_short_12","alias_value":"36DWGQL2GHKI","created_at":"2026-07-05T05:39:24Z"},{"alias_kind":"pith_short_16","alias_value":"36DWGQL2GHKIUOYE","created_at":"2026-07-05T05:39:24Z"},{"alias_kind":"pith_short_8","alias_value":"36DWGQL2","created_at":"2026-07-05T05:39:24Z"}],"graph_snapshots":[{"event_id":"sha256:031207963cfe370c4e834ac3e6b032f41edf70147433a80f2ab835c0ee732d3f","target":"graph","created_at":"2026-07-05T05:39:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2211.04546/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a neutrino mass model based on modular symmetry with the fewest input parameters to date, which successfully accounts for the 12 lepton masses and mixing parameters through 6 real free parameters including the modulus. The neutrino masses are predicted to be normal ordering, the atmospheric angle $\\theta_{23}$ is quite close to maximal value and the Dirac CP phase $\\delta_{CP}$ is about $1.34\\pi$. We also study the soft supersymmetry breaking terms due to the modulus $F$-term in this minimal model, which are constrained to be the non-holomorphic modular forms. The radiative lepton f","authors_text":"Chang-Yuan Yao, Gui-Jun Ding, Xiang-Gan Liu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-08T20:33:00Z","title":"A minimal modular invariant neutrino model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.04546","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2f18d82b8970d412c4a51151b20c69afda6823537f4254612dcf6fc8b0b9e7e7","target":"record","created_at":"2026-07-05T05:39:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"80876d67b2f616f78cefd73ea9c4ac29db1df13badee0021fd204048708a4f08","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-11-08T20:33:00Z","title_canon_sha256":"b0ecfd9cabdccbe08ed850cb44db83056c1d46a1b7a93556c9f6a191a4049472"},"schema_version":"1.0","source":{"id":"2211.04546","kind":"arxiv","version":1}},"canonical_sha256":"df8763417a31d48a3b04c7f67fec1f1eb119092a42daabe6a96324b076616561","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df8763417a31d48a3b04c7f67fec1f1eb119092a42daabe6a96324b076616561","first_computed_at":"2026-07-05T05:39:24.698657Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:39:24.698657Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5YrsSETC0GbLqnxO3YZPFb5qZXHt5GGxLtVmz7cZVZYYck2xTXieDdewsusQtlfwMuEcXDWlH/fZmKnN8nDRDA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:39:24.699148Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.04546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f18d82b8970d412c4a51151b20c69afda6823537f4254612dcf6fc8b0b9e7e7","sha256:031207963cfe370c4e834ac3e6b032f41edf70147433a80f2ab835c0ee732d3f"],"state_sha256":"585c306234c61103409167c299dea8824c3272392d2d3ccf0e32e33e32708a14"}