{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OGCFWJTU64TZRYGADY55GZ5XUM","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":"d54208eb4d2e440c64ccc1c1cea84fdc0178deb0630677c1feae61f454d5738d","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2016-09-27T05:25:56Z","title_canon_sha256":"61c3500e0360ae0f53ba5146bd95f24d2eaa1cbd043f045a80f405de34e20b9b"},"schema_version":"1.0","source":{"id":"1609.08608","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08608","created_at":"2026-05-18T00:46:20Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08608v2","created_at":"2026-05-18T00:46:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08608","created_at":"2026-05-18T00:46:20Z"},{"alias_kind":"pith_short_12","alias_value":"OGCFWJTU64TZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OGCFWJTU64TZRYGA","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OGCFWJTU","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:3e333f18a27b303496165f4df3898e30613b8676a0f927178c962f242ba717a7","target":"graph","created_at":"2026-05-18T00:46:20Z","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"},"paper":{"abstract_excerpt":"We study the CP-violating phase of the quark sector in the $U(8)$ flavor model on $T^2/Z_N \\, (N=2,3,4,6)$ with non-vanishing magnetic fluxes, where properties of possible origins of the CP violation are investigated minutely. In this system, a non-vanishing value is mandatory in the real part of the complex modulus parameter $\\tau$ of the two-dimensional torus. On $T^2$ without orbifolding, underlying discrete flavor symmetries severely restrict the form of Yukawa couplings and it is very difficult to reproduce the observed pattern in the quark sector including the CP-violating phase $\\delta_","authors_text":"Kenji Nishiwaki, Tatsuo Kobayashi, Yoshiyuki Tatsuta","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2016-09-27T05:25:56Z","title":"CP-violating phase on magnetized toroidal orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08608","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:fe2ea69b030bb75bccfe7c1465dd376dc43b7b8fed60a23fb67e8373dfbad656","target":"record","created_at":"2026-05-18T00:46:20Z","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":"d54208eb4d2e440c64ccc1c1cea84fdc0178deb0630677c1feae61f454d5738d","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2016-09-27T05:25:56Z","title_canon_sha256":"61c3500e0360ae0f53ba5146bd95f24d2eaa1cbd043f045a80f405de34e20b9b"},"schema_version":"1.0","source":{"id":"1609.08608","kind":"arxiv","version":2}},"canonical_sha256":"71845b2674f72798e0c01e3bd367b7a33453fc141c43dbcce3d7659ff97a1c21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71845b2674f72798e0c01e3bd367b7a33453fc141c43dbcce3d7659ff97a1c21","first_computed_at":"2026-05-18T00:46:20.688504Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:20.688504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Gng1pDs9sY2qq2fBlXV2oYFYKSs1AhQ0L0MvV88yFVdKENhNW+/tajxyhdTeiVpMSDux8oMxr5vKpQqXxRjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:20.689002Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08608","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe2ea69b030bb75bccfe7c1465dd376dc43b7b8fed60a23fb67e8373dfbad656","sha256:3e333f18a27b303496165f4df3898e30613b8676a0f927178c962f242ba717a7"],"state_sha256":"d15c5b803f63d175ac774b7a71bc854ae1d5622893927c9765c7fb76da71f544"}