{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LD2XG5B2AYOYISUOMQI3SUA2IX","short_pith_number":"pith:LD2XG5B2","canonical_record":{"source":{"id":"1408.7118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-29T19:54:44Z","cross_cats_sorted":[],"title_canon_sha256":"091f5298b9ef7a22fabcc43eda91c851a96d808d258869d3dcdf4160ef105912","abstract_canon_sha256":"7da68e3790c5cc65d10185f934310319d4a8378e5b492af66ccb292db8f751d6"},"schema_version":"1.0"},"canonical_sha256":"58f573743a061d844a8e6411b9501a45c1b367c2259e8b136233ada18c97761d","source":{"kind":"arxiv","id":"1408.7118","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.7118","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"1408.7118v2","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.7118","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"LD2XG5B2AYOY","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"LD2XG5B2AYOYISUO","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"LD2XG5B2","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LD2XG5B2AYOYISUOMQI3SUA2IX","target":"record","payload":{"canonical_record":{"source":{"id":"1408.7118","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-29T19:54:44Z","cross_cats_sorted":[],"title_canon_sha256":"091f5298b9ef7a22fabcc43eda91c851a96d808d258869d3dcdf4160ef105912","abstract_canon_sha256":"7da68e3790c5cc65d10185f934310319d4a8378e5b492af66ccb292db8f751d6"},"schema_version":"1.0"},"canonical_sha256":"58f573743a061d844a8e6411b9501a45c1b367c2259e8b136233ada18c97761d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:10.737171Z","signature_b64":"KiRmQjvfA/CGjTYfNXhheMI6Bqsa+UZBN00BA+8afNMJYpmOC8RrbJrUmVY3MopOSUKQ+70nnkxSlLLTXNNsBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58f573743a061d844a8e6411b9501a45c1b367c2259e8b136233ada18c97761d","last_reissued_at":"2026-05-18T02:04:10.736447Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:10.736447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.7118","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"51QA4KZEhseKj15mALhMTH0Tbg71eXzu2NIyQrtDZTyeOWiqcrUKTZ6kX5HiSbEhvh2KOUOnR+TMSV5k8jXOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:21:21.679845Z"},"content_sha256":"9f457e6b3a075eb2be07f6ab08f8f3dab6d037e56d32a0f1031ff5f796b638f0","schema_version":"1.0","event_id":"sha256:9f457e6b3a075eb2be07f6ab08f8f3dab6d037e56d32a0f1031ff5f796b638f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LD2XG5B2AYOYISUOMQI3SUA2IX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Meroni, C. Hagedorn, E. Molinaro","submitted_at":"2014-08-29T19:54:44Z","abstract_excerpt":"We perform a detailed study of lepton mixing patterns arising from a scenario with three Majorana neutrinos in which a discrete flavor group Gf=Delta (3 n^2) or Gf=Delta(6 n^2) and a CP symmetry are broken to residual symmetries Ge=Z3 and Gnu=Z2 x CP in the charged lepton and neutrino sectors, respectively. While we consider all possible Z3 and Z2 generating elements, we focus on a certain set of CP transformations. The resulting lepton mixing depends on group theoretical indices and one continuous parameter. In order to study the mixing patterns comprehensively for all admitted Ge and Gnu, it"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.7118","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:04:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y+JUz+AimUaOvyydGMb6vAXhVNT3lfEDk0y9nIi5SRYg6gdKNH8kPiGKWLjOqVwQFpIZCexgdU55p2mqjUJCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:21:21.680193Z"},"content_sha256":"a5b2c9e7258ba199985dcf576a9d018e1e1b212353f92a9fcd5de9d2ea3ee8aa","schema_version":"1.0","event_id":"sha256:a5b2c9e7258ba199985dcf576a9d018e1e1b212353f92a9fcd5de9d2ea3ee8aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LD2XG5B2AYOYISUOMQI3SUA2IX/bundle.json","state_url":"https://pith.science/pith/LD2XG5B2AYOYISUOMQI3SUA2IX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LD2XG5B2AYOYISUOMQI3SUA2IX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T14:21:21Z","links":{"resolver":"https://pith.science/pith/LD2XG5B2AYOYISUOMQI3SUA2IX","bundle":"https://pith.science/pith/LD2XG5B2AYOYISUOMQI3SUA2IX/bundle.json","state":"https://pith.science/pith/LD2XG5B2AYOYISUOMQI3SUA2IX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LD2XG5B2AYOYISUOMQI3SUA2IX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LD2XG5B2AYOYISUOMQI3SUA2IX","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":"7da68e3790c5cc65d10185f934310319d4a8378e5b492af66ccb292db8f751d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-29T19:54:44Z","title_canon_sha256":"091f5298b9ef7a22fabcc43eda91c851a96d808d258869d3dcdf4160ef105912"},"schema_version":"1.0","source":{"id":"1408.7118","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.7118","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"arxiv_version","alias_value":"1408.7118v2","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.7118","created_at":"2026-05-18T02:04:10Z"},{"alias_kind":"pith_short_12","alias_value":"LD2XG5B2AYOY","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"LD2XG5B2AYOYISUO","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"LD2XG5B2","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:a5b2c9e7258ba199985dcf576a9d018e1e1b212353f92a9fcd5de9d2ea3ee8aa","target":"graph","created_at":"2026-05-18T02:04:10Z","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 perform a detailed study of lepton mixing patterns arising from a scenario with three Majorana neutrinos in which a discrete flavor group Gf=Delta (3 n^2) or Gf=Delta(6 n^2) and a CP symmetry are broken to residual symmetries Ge=Z3 and Gnu=Z2 x CP in the charged lepton and neutrino sectors, respectively. While we consider all possible Z3 and Z2 generating elements, we focus on a certain set of CP transformations. The resulting lepton mixing depends on group theoretical indices and one continuous parameter. In order to study the mixing patterns comprehensively for all admitted Ge and Gnu, it","authors_text":"A. Meroni, C. Hagedorn, E. Molinaro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-29T19:54:44Z","title":"Lepton Mixing from Delta (3 n^2) and Delta (6 n^2) and CP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.7118","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":"sha256:9f457e6b3a075eb2be07f6ab08f8f3dab6d037e56d32a0f1031ff5f796b638f0","target":"record","created_at":"2026-05-18T02:04:10Z","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":"7da68e3790c5cc65d10185f934310319d4a8378e5b492af66ccb292db8f751d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-29T19:54:44Z","title_canon_sha256":"091f5298b9ef7a22fabcc43eda91c851a96d808d258869d3dcdf4160ef105912"},"schema_version":"1.0","source":{"id":"1408.7118","kind":"arxiv","version":2}},"canonical_sha256":"58f573743a061d844a8e6411b9501a45c1b367c2259e8b136233ada18c97761d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58f573743a061d844a8e6411b9501a45c1b367c2259e8b136233ada18c97761d","first_computed_at":"2026-05-18T02:04:10.736447Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:10.736447Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KiRmQjvfA/CGjTYfNXhheMI6Bqsa+UZBN00BA+8afNMJYpmOC8RrbJrUmVY3MopOSUKQ+70nnkxSlLLTXNNsBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:10.737171Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.7118","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f457e6b3a075eb2be07f6ab08f8f3dab6d037e56d32a0f1031ff5f796b638f0","sha256:a5b2c9e7258ba199985dcf576a9d018e1e1b212353f92a9fcd5de9d2ea3ee8aa"],"state_sha256":"db0ab6d3695487527e2ab6b063e33541f18268539941a822ae3d094a5e86649d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"80mVRnSClGiQmHKXDMhcRagJULKogg9aXXQFeX5USVxaPoILFzUScFQnOjobVYdNhjhTwoC93lsFwL+8ovxLAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:21:21.682290Z","bundle_sha256":"12b5cc74d83e9e9c407360a28b3edd4779ebf3e62ee6885d9f5411f50101913b"}}