{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:TY7DQM5QHI34OFS2MRDDCBSFGE","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":"90fdd5a78795c5cb4d1016a6f58e634437444e7ca10fb8adb76f2a9e0577d47f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-03T03:50:20Z","title_canon_sha256":"3eea4bde29359738faf62d1c7910c70b3b173c12a0d19001979502f259077126"},"schema_version":"1.0","source":{"id":"2012.01688","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.01688","created_at":"2026-07-05T02:23:20Z"},{"alias_kind":"arxiv_version","alias_value":"2012.01688v2","created_at":"2026-07-05T02:23:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.01688","created_at":"2026-07-05T02:23:20Z"},{"alias_kind":"pith_short_12","alias_value":"TY7DQM5QHI34","created_at":"2026-07-05T02:23:20Z"},{"alias_kind":"pith_short_16","alias_value":"TY7DQM5QHI34OFS2","created_at":"2026-07-05T02:23:20Z"},{"alias_kind":"pith_short_8","alias_value":"TY7DQM5Q","created_at":"2026-07-05T02:23:20Z"}],"graph_snapshots":[{"event_id":"sha256:207a901cfc5f5ad872d16c32a45a789cd31cd854ecb084d107bdc36484585abc","target":"graph","created_at":"2026-07-05T02:23:20Z","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/2012.01688/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the modular $A_4$ invariant model of leptons combining with the generalized CP symmetry. In our model, both CP and modular symmetries are broken spontaneously by the vacuum expectation value of the modulus $\\tau$. The source of the CP violation is a non-trivial value of ${\\rm Re} [\\tau]$ while other parameters of the model are real. The allowed region of $\\tau$ is in very narrow one close to the fixed point $\\tau=i$ for both normal hierarchy (NH) and inverted ones (IH) of neutrino masses. The CP violating Dirac phase $\\delta_{CP}$ is predicted clearly in $[98^\\circ,\\,110^\\circ]$ and","authors_text":"Hiroshi Okada, Morimitsu Tanimoto","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-03T03:50:20Z","title":"Spontaneous CP violation by modulus $\\tau$ in $A_4$ model of lepton flavors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.01688","kind":"arxiv","version":2},"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":"sha256:955915b627b72832183d67b5e94bb0863018abd8bbe6397f4fadd3bb882c92f8","target":"record","created_at":"2026-07-05T02:23:20Z","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":"90fdd5a78795c5cb4d1016a6f58e634437444e7ca10fb8adb76f2a9e0577d47f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2020-12-03T03:50:20Z","title_canon_sha256":"3eea4bde29359738faf62d1c7910c70b3b173c12a0d19001979502f259077126"},"schema_version":"1.0","source":{"id":"2012.01688","kind":"arxiv","version":2}},"canonical_sha256":"9e3e3833b03a37c7165a6446310645311038a2467ec4ad502a6f29896964288a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e3e3833b03a37c7165a6446310645311038a2467ec4ad502a6f29896964288a","first_computed_at":"2026-07-05T02:23:20.312649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:23:20.312649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jv3Zrd7TWmURh0ZJPJDT25ASCAXHEOWjfBH3fbE9IVFXZ64eXDBQqvoyI4DbAu9KbQV5+vK0D9de8JU0yl++BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:23:20.313273Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.01688","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:955915b627b72832183d67b5e94bb0863018abd8bbe6397f4fadd3bb882c92f8","sha256:207a901cfc5f5ad872d16c32a45a789cd31cd854ecb084d107bdc36484585abc"],"state_sha256":"c1091badde490acc2b81ddd462bc0dc699fb72e56c1a08b570ae1aac31ddec40"}