{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2VGNGLAZYM5YDBGYG66SZAFOEI","short_pith_number":"pith:2VGNGLAZ","canonical_record":{"source":{"id":"1003.2385","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-03-11T18:26:12Z","cross_cats_sorted":[],"title_canon_sha256":"334c4994ac366046dc31774c79a555821903401d84f7a04f890699101dd95d24","abstract_canon_sha256":"22296e409d9502fb0f604fae3e59ac8ef82cff0737a2a4185d54d5577dfb7eb3"},"schema_version":"1.0"},"canonical_sha256":"d54cd32c19c33b8184d837bd2c80ae22347226c076e1d63f6b7929319ae566ac","source":{"kind":"arxiv","id":"1003.2385","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2385","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2385v3","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2385","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"2VGNGLAZYM5Y","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2VGNGLAZYM5YDBGY","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2VGNGLAZ","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2VGNGLAZYM5YDBGYG66SZAFOEI","target":"record","payload":{"canonical_record":{"source":{"id":"1003.2385","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-03-11T18:26:12Z","cross_cats_sorted":[],"title_canon_sha256":"334c4994ac366046dc31774c79a555821903401d84f7a04f890699101dd95d24","abstract_canon_sha256":"22296e409d9502fb0f604fae3e59ac8ef82cff0737a2a4185d54d5577dfb7eb3"},"schema_version":"1.0"},"canonical_sha256":"d54cd32c19c33b8184d837bd2c80ae22347226c076e1d63f6b7929319ae566ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:41.184938Z","signature_b64":"KFYhyszsbBwQy7DIdq3cg2ZkxIJ7/ZvINffoC1HhffdlN5O/vK8j3MdnQjtgU5ws2SK5AJ4OS4wxoZZtCDgoBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d54cd32c19c33b8184d837bd2c80ae22347226c076e1d63f6b7929319ae566ac","last_reissued_at":"2026-05-18T02:33:41.184514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:41.184514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.2385","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUTn/p0cKOPaRgpJPHRQxaQZFFExdWT0wl8SjK3rk61bvz+HrClcgeK7TDsaS7CSkNhpqKrqFNu5C9BKjlTGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:37:57.153898Z"},"content_sha256":"e7e91d7de5127ae1dd70f5d083033a2eea17f37165ce53d173488fb2dccf3248","schema_version":"1.0","event_id":"sha256:e7e91d7de5127ae1dd70f5d083033a2eea17f37165ce53d173488fb2dccf3248"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2VGNGLAZYM5YDBGYG66SZAFOEI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A_4 models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"James Barry, Werner Rodejohann","submitted_at":"2010-03-11T18:26:12Z","abstract_excerpt":"The addition of an A_4 family symmetry and extended Higgs sector to the Standard Model can generate the tribimaximal mixing pattern for leptons, assuming the correct vacuum expectation value alignment of the Higgs scalars. Deviating this alignment affects the predictions for the neutrino oscillation and neutrino mass observables. An attempt is made to classify the plethora of models in the literature, with respect to the chosen A_4 particle assignments. Of these models, two particularly popular examples have been analyzed for deviations from tribimaximal mixing by perturbing the vacuum expecta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2385","kind":"arxiv","version":3},"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":"2026-05-18T02:33:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"96Ov3kTJfH3snzHHZPoj63q2SGJa7jj8ZrwfiZ8VypxxISPOvMDMHLNQFV7mxsKU2VyCchx18HlM3HRKP1xWDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:37:57.154242Z"},"content_sha256":"4f8724076a27a389df54de3058c4baa87669c51d4f29a97ca8de6d08f8d0cb8b","schema_version":"1.0","event_id":"sha256:4f8724076a27a389df54de3058c4baa87669c51d4f29a97ca8de6d08f8d0cb8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VGNGLAZYM5YDBGYG66SZAFOEI/bundle.json","state_url":"https://pith.science/pith/2VGNGLAZYM5YDBGYG66SZAFOEI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VGNGLAZYM5YDBGYG66SZAFOEI/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":"2026-06-02T13:37:57Z","links":{"resolver":"https://pith.science/pith/2VGNGLAZYM5YDBGYG66SZAFOEI","bundle":"https://pith.science/pith/2VGNGLAZYM5YDBGYG66SZAFOEI/bundle.json","state":"https://pith.science/pith/2VGNGLAZYM5YDBGYG66SZAFOEI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VGNGLAZYM5YDBGYG66SZAFOEI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2VGNGLAZYM5YDBGYG66SZAFOEI","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":"22296e409d9502fb0f604fae3e59ac8ef82cff0737a2a4185d54d5577dfb7eb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-03-11T18:26:12Z","title_canon_sha256":"334c4994ac366046dc31774c79a555821903401d84f7a04f890699101dd95d24"},"schema_version":"1.0","source":{"id":"1003.2385","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.2385","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"arxiv_version","alias_value":"1003.2385v3","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.2385","created_at":"2026-05-18T02:33:41Z"},{"alias_kind":"pith_short_12","alias_value":"2VGNGLAZYM5Y","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2VGNGLAZYM5YDBGY","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2VGNGLAZ","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:4f8724076a27a389df54de3058c4baa87669c51d4f29a97ca8de6d08f8d0cb8b","target":"graph","created_at":"2026-05-18T02:33:41Z","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":"The addition of an A_4 family symmetry and extended Higgs sector to the Standard Model can generate the tribimaximal mixing pattern for leptons, assuming the correct vacuum expectation value alignment of the Higgs scalars. Deviating this alignment affects the predictions for the neutrino oscillation and neutrino mass observables. An attempt is made to classify the plethora of models in the literature, with respect to the chosen A_4 particle assignments. Of these models, two particularly popular examples have been analyzed for deviations from tribimaximal mixing by perturbing the vacuum expecta","authors_text":"James Barry, Werner Rodejohann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-03-11T18:26:12Z","title":"Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A_4 models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.2385","kind":"arxiv","version":3},"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:e7e91d7de5127ae1dd70f5d083033a2eea17f37165ce53d173488fb2dccf3248","target":"record","created_at":"2026-05-18T02:33:41Z","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":"22296e409d9502fb0f604fae3e59ac8ef82cff0737a2a4185d54d5577dfb7eb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-03-11T18:26:12Z","title_canon_sha256":"334c4994ac366046dc31774c79a555821903401d84f7a04f890699101dd95d24"},"schema_version":"1.0","source":{"id":"1003.2385","kind":"arxiv","version":3}},"canonical_sha256":"d54cd32c19c33b8184d837bd2c80ae22347226c076e1d63f6b7929319ae566ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d54cd32c19c33b8184d837bd2c80ae22347226c076e1d63f6b7929319ae566ac","first_computed_at":"2026-05-18T02:33:41.184514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:41.184514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KFYhyszsbBwQy7DIdq3cg2ZkxIJ7/ZvINffoC1HhffdlN5O/vK8j3MdnQjtgU5ws2SK5AJ4OS4wxoZZtCDgoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:41.184938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.2385","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7e91d7de5127ae1dd70f5d083033a2eea17f37165ce53d173488fb2dccf3248","sha256:4f8724076a27a389df54de3058c4baa87669c51d4f29a97ca8de6d08f8d0cb8b"],"state_sha256":"4c5dfca836560d7a609b13aff5a5a7398e57db732e91ebb603c4cea9c318b68a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zWcOyMoMtaogZmdNt5xeXHq9hcMH/sdVEuRQjTV2NHYRjehUWV8dtWuHRkzrMekfbpXBr75Vb/TxE1Sv0yppDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:37:57.156276Z","bundle_sha256":"d533ec53eb253f9d206164a8dd043e2abb3f00b5fe7415dc268f46c7864bcdb9"}}