{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XYLUHB4PHDODAYRZWJM7CCOCH6","short_pith_number":"pith:XYLUHB4P","canonical_record":{"source":{"id":"1506.06063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-19T15:54:35Z","cross_cats_sorted":[],"title_canon_sha256":"4cb5a3b34e073c3329ca5688e0b56d8d4ca4c1f15f2f09c06eafdc581bd9167c","abstract_canon_sha256":"fd7e8cf3bea6d5224ab97be4775ef98b199ba66e734146fecd2d98748a4ca125"},"schema_version":"1.0"},"canonical_sha256":"be1743878f38dc306239b259f109c23fb0ad601f7057b80d90326143b2c5fb5b","source":{"kind":"arxiv","id":"1506.06063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06063","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06063v1","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06063","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"XYLUHB4PHDOD","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XYLUHB4PHDODAYRZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XYLUHB4P","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XYLUHB4PHDODAYRZWJM7CCOCH6","target":"record","payload":{"canonical_record":{"source":{"id":"1506.06063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-19T15:54:35Z","cross_cats_sorted":[],"title_canon_sha256":"4cb5a3b34e073c3329ca5688e0b56d8d4ca4c1f15f2f09c06eafdc581bd9167c","abstract_canon_sha256":"fd7e8cf3bea6d5224ab97be4775ef98b199ba66e734146fecd2d98748a4ca125"},"schema_version":"1.0"},"canonical_sha256":"be1743878f38dc306239b259f109c23fb0ad601f7057b80d90326143b2c5fb5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:46.364079Z","signature_b64":"J9RemxxEr971ZglOzPxxiRQupZcC0z04+51IyRv74E9Aq2aTYxfI4OPryyyT/AjIyWvq6N3GVH9rOiMuQWW6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be1743878f38dc306239b259f109c23fb0ad601f7057b80d90326143b2c5fb5b","last_reissued_at":"2026-05-18T01:42:46.363554Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:46.363554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.06063","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yvk+lI6DT/74woM0mlWBX7FWB3vsTtsYb+vYRMwyLe2xDYyiDk5olzhoGwtwhUCFOwdzxy5lYQJKaDq+ZPA1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:40:40.339510Z"},"content_sha256":"de8cf0035daffc157201aba876cb0c919c02ab210445d5de61ec1112c333a794","schema_version":"1.0","event_id":"sha256:de8cf0035daffc157201aba876cb0c919c02ab210445d5de61ec1112c333a794"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XYLUHB4PHDODAYRZWJM7CCOCH6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Mixing with Non-Zero $\\theta_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Dinh Phan Khoi, Hoang Ngoc Long, Vo Van Vien","submitted_at":"2015-06-19T15:54:35Z","abstract_excerpt":"The 3-3-1 model proposed in 2011 based on discrete symmetry $S_4$ responsible for the neutrino and quark masses is updated, in which the non-zero $\\theta_{13}$ is focused. Neutrino masses and mixings are consistent with the most recent data on neutrino oscillations without perturbation. The new feature is adding a new $SU(3)_L$ anti-sextet lying in doublet under $S_4$ which can result the non-zero $\\theta_{13}$ without perturbation, and consequently, the number of Higgs multiplets required is less than those of other models based on non-Abelian discrete symmetries and the 3-3-1 models. The exa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06063","kind":"arxiv","version":1},"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":"2026-05-18T01:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AtiMLvwCR52wVh1M5vfe2DfsIBiNpa5YEFpPB8nTHOX6kIuzkd6MSP+CZswrHyryL01wVsBzfuwNAQAJlLCFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:40:40.339865Z"},"content_sha256":"a2a5c52fcfc6e4428c1d72616e6da1e6409976f1f4b1d9004fac8ffbced585cd","schema_version":"1.0","event_id":"sha256:a2a5c52fcfc6e4428c1d72616e6da1e6409976f1f4b1d9004fac8ffbced585cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYLUHB4PHDODAYRZWJM7CCOCH6/bundle.json","state_url":"https://pith.science/pith/XYLUHB4PHDODAYRZWJM7CCOCH6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYLUHB4PHDODAYRZWJM7CCOCH6/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":"2026-06-02T15:40:40Z","links":{"resolver":"https://pith.science/pith/XYLUHB4PHDODAYRZWJM7CCOCH6","bundle":"https://pith.science/pith/XYLUHB4PHDODAYRZWJM7CCOCH6/bundle.json","state":"https://pith.science/pith/XYLUHB4PHDODAYRZWJM7CCOCH6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYLUHB4PHDODAYRZWJM7CCOCH6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XYLUHB4PHDODAYRZWJM7CCOCH6","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":"fd7e8cf3bea6d5224ab97be4775ef98b199ba66e734146fecd2d98748a4ca125","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-19T15:54:35Z","title_canon_sha256":"4cb5a3b34e073c3329ca5688e0b56d8d4ca4c1f15f2f09c06eafdc581bd9167c"},"schema_version":"1.0","source":{"id":"1506.06063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06063","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06063v1","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06063","created_at":"2026-05-18T01:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"XYLUHB4PHDOD","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XYLUHB4PHDODAYRZ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XYLUHB4P","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:a2a5c52fcfc6e4428c1d72616e6da1e6409976f1f4b1d9004fac8ffbced585cd","target":"graph","created_at":"2026-05-18T01:42:46Z","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 3-3-1 model proposed in 2011 based on discrete symmetry $S_4$ responsible for the neutrino and quark masses is updated, in which the non-zero $\\theta_{13}$ is focused. Neutrino masses and mixings are consistent with the most recent data on neutrino oscillations without perturbation. The new feature is adding a new $SU(3)_L$ anti-sextet lying in doublet under $S_4$ which can result the non-zero $\\theta_{13}$ without perturbation, and consequently, the number of Higgs multiplets required is less than those of other models based on non-Abelian discrete symmetries and the 3-3-1 models. The exa","authors_text":"Dinh Phan Khoi, Hoang Ngoc Long, Vo Van Vien","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-19T15:54:35Z","title":"Neutrino Mixing with Non-Zero $\\theta_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06063","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:de8cf0035daffc157201aba876cb0c919c02ab210445d5de61ec1112c333a794","target":"record","created_at":"2026-05-18T01:42:46Z","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":"fd7e8cf3bea6d5224ab97be4775ef98b199ba66e734146fecd2d98748a4ca125","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-06-19T15:54:35Z","title_canon_sha256":"4cb5a3b34e073c3329ca5688e0b56d8d4ca4c1f15f2f09c06eafdc581bd9167c"},"schema_version":"1.0","source":{"id":"1506.06063","kind":"arxiv","version":1}},"canonical_sha256":"be1743878f38dc306239b259f109c23fb0ad601f7057b80d90326143b2c5fb5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be1743878f38dc306239b259f109c23fb0ad601f7057b80d90326143b2c5fb5b","first_computed_at":"2026-05-18T01:42:46.363554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:46.363554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J9RemxxEr971ZglOzPxxiRQupZcC0z04+51IyRv74E9Aq2aTYxfI4OPryyyT/AjIyWvq6N3GVH9rOiMuQWW6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:46.364079Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de8cf0035daffc157201aba876cb0c919c02ab210445d5de61ec1112c333a794","sha256:a2a5c52fcfc6e4428c1d72616e6da1e6409976f1f4b1d9004fac8ffbced585cd"],"state_sha256":"d0deacc03dffde91977b7b8a6ab0d452334e0feb758fefa5af6ea5157ce0a03c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YiiGGyoE4qYB6tmOH4QpI3T2HWxey3nBGOjgR6Q45ThpnnVnHK04OisJY/ETATKzx8cf04a4dZNBuw+ETbi3Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:40:40.341869Z","bundle_sha256":"a11774443bcb4d4a577959c889b5ddaebd302e47f7c6a33824563c19b5ee89b5"}}