{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:EZJOZ3SHBAFD25PMTHU2KJPFXT","short_pith_number":"pith:EZJOZ3SH","canonical_record":{"source":{"id":"1402.1256","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-ph","submitted_at":"2014-02-06T06:10:14Z","cross_cats_sorted":[],"title_canon_sha256":"3c142ac2ca0c7cf0c4d34cd21e4c245859f2f5cab39d94968b51300ebbfd0dcb","abstract_canon_sha256":"c87d67c222cb1113436c8c3b4cbdc8c83f7c119c0566cf5bddbe58c4e4047cb3"},"schema_version":"1.0"},"canonical_sha256":"2652ecee47080a3d75ec99e9a525e5bcf21230db05dadcd4e4724e47255c1a03","source":{"kind":"arxiv","id":"1402.1256","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1256","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1256v3","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1256","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"pith_short_12","alias_value":"EZJOZ3SHBAFD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZJOZ3SHBAFD25PM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZJOZ3SH","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:EZJOZ3SHBAFD25PMTHU2KJPFXT","target":"record","payload":{"canonical_record":{"source":{"id":"1402.1256","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-ph","submitted_at":"2014-02-06T06:10:14Z","cross_cats_sorted":[],"title_canon_sha256":"3c142ac2ca0c7cf0c4d34cd21e4c245859f2f5cab39d94968b51300ebbfd0dcb","abstract_canon_sha256":"c87d67c222cb1113436c8c3b4cbdc8c83f7c119c0566cf5bddbe58c4e4047cb3"},"schema_version":"1.0"},"canonical_sha256":"2652ecee47080a3d75ec99e9a525e5bcf21230db05dadcd4e4724e47255c1a03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:07.285459Z","signature_b64":"SNPgDjMCNHXfHDWa/sVGcQVzHeIOxPf504gP42YRT1VrNzms0j98RyzCsKdIofBd7y9zYvju5jpSmdZ2ZtvYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2652ecee47080a3d75ec99e9a525e5bcf21230db05dadcd4e4724e47255c1a03","last_reissued_at":"2026-05-18T02:53:07.284919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:07.284919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.1256","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":"2026-05-18T02:53:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f669q3ikjSc719Utxn/OxEFxmfIvS1kJy4NaSqFdikYXjVeVNa/FITOwAVjoArHmMl/gr3YCZxrbSrVRbVU2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:23:59.693752Z"},"content_sha256":"991a6368bf9ac0797ef5bf11fe196ec8f77e34d3f18cf46e54fadb28ba354ca7","schema_version":"1.0","event_id":"sha256:991a6368bf9ac0797ef5bf11fe196ec8f77e34d3f18cf46e54fadb28ba354ca7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:EZJOZ3SHBAFD25PMTHU2KJPFXT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The T7 flavor symmetry in 3-3-1 model with neutral leptons","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"H. N. Long, V. V. Vien","submitted_at":"2014-02-06T06:10:14Z","abstract_excerpt":"We construct a 3-3-1 model based on non-Abelian discrete symmetry $T_7$ responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets $\\underline{3}$ and $\\underline{3}^*$ under $T_7$. The flavor mixing patterns and mass splitting are obtained without perturbation. The tribimaximal form obtained with the breaking $T_7 \\rightarrow Z_3$ in charged lepton sector and both $T_7 \\rightarrow Z_3$ and $Z_3 \\rightarrow \\{\\mathrm{Identity}\\}$ must be taken place in neutrino sector but only apart in breakings $Z_3 \\rightarrow \\{\\mathrm{Identity}\\}$ (without contrib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1256","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":"2026-05-18T02:53:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E0zTCbm2mBCRD+TH3eRA/fzT7CVKI/V1nAphFUwXnLE3y8ohwAdyDyfBPIEaKD7sd2RQrf119+rR76VsdQthBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:23:59.694111Z"},"content_sha256":"5332981c77f3eb0c9b43434f1d97b09283443588bba84dc74c0c6e8450ffc7ec","schema_version":"1.0","event_id":"sha256:5332981c77f3eb0c9b43434f1d97b09283443588bba84dc74c0c6e8450ffc7ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT/bundle.json","state_url":"https://pith.science/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT/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":"2026-05-28T07:23:59Z","links":{"resolver":"https://pith.science/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT","bundle":"https://pith.science/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT/bundle.json","state":"https://pith.science/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZJOZ3SHBAFD25PMTHU2KJPFXT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EZJOZ3SHBAFD25PMTHU2KJPFXT","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":"c87d67c222cb1113436c8c3b4cbdc8c83f7c119c0566cf5bddbe58c4e4047cb3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-ph","submitted_at":"2014-02-06T06:10:14Z","title_canon_sha256":"3c142ac2ca0c7cf0c4d34cd21e4c245859f2f5cab39d94968b51300ebbfd0dcb"},"schema_version":"1.0","source":{"id":"1402.1256","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1256","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1256v3","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1256","created_at":"2026-05-18T02:53:07Z"},{"alias_kind":"pith_short_12","alias_value":"EZJOZ3SHBAFD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"EZJOZ3SHBAFD25PM","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"EZJOZ3SH","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:5332981c77f3eb0c9b43434f1d97b09283443588bba84dc74c0c6e8450ffc7ec","target":"graph","created_at":"2026-05-18T02:53:07Z","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 construct a 3-3-1 model based on non-Abelian discrete symmetry $T_7$ responsible for the fermion masses. Neutrinos get masses from only anti-sextets which are in triplets $\\underline{3}$ and $\\underline{3}^*$ under $T_7$. The flavor mixing patterns and mass splitting are obtained without perturbation. The tribimaximal form obtained with the breaking $T_7 \\rightarrow Z_3$ in charged lepton sector and both $T_7 \\rightarrow Z_3$ and $Z_3 \\rightarrow \\{\\mathrm{Identity}\\}$ must be taken place in neutrino sector but only apart in breakings $Z_3 \\rightarrow \\{\\mathrm{Identity}\\}$ (without contrib","authors_text":"H. N. Long, V. V. Vien","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-ph","submitted_at":"2014-02-06T06:10:14Z","title":"The T7 flavor symmetry in 3-3-1 model with neutral leptons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1256","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":"sha256:991a6368bf9ac0797ef5bf11fe196ec8f77e34d3f18cf46e54fadb28ba354ca7","target":"record","created_at":"2026-05-18T02:53:07Z","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":"c87d67c222cb1113436c8c3b4cbdc8c83f7c119c0566cf5bddbe58c4e4047cb3","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-ph","submitted_at":"2014-02-06T06:10:14Z","title_canon_sha256":"3c142ac2ca0c7cf0c4d34cd21e4c245859f2f5cab39d94968b51300ebbfd0dcb"},"schema_version":"1.0","source":{"id":"1402.1256","kind":"arxiv","version":3}},"canonical_sha256":"2652ecee47080a3d75ec99e9a525e5bcf21230db05dadcd4e4724e47255c1a03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2652ecee47080a3d75ec99e9a525e5bcf21230db05dadcd4e4724e47255c1a03","first_computed_at":"2026-05-18T02:53:07.284919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:07.284919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SNPgDjMCNHXfHDWa/sVGcQVzHeIOxPf504gP42YRT1VrNzms0j98RyzCsKdIofBd7y9zYvju5jpSmdZ2ZtvYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:07.285459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1256","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:991a6368bf9ac0797ef5bf11fe196ec8f77e34d3f18cf46e54fadb28ba354ca7","sha256:5332981c77f3eb0c9b43434f1d97b09283443588bba84dc74c0c6e8450ffc7ec"],"state_sha256":"e37b3189198a831e69dd62205568bff9d6e9cb07276ae40a79062c85316b9752"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ahyhWimyhxIfkVM9WCehe+XrQgrkIBA86gCL/DjVGZQVbhyZ7+qqU76WNiQBkRQT9mYgGoU1S3kgKYtQOvh/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:23:59.696218Z","bundle_sha256":"b6244cd3c6fae9f833e25c827a50decc0bf44a53e8cad52826db2e13cda6632f"}}