{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:E2HCE5ISMY7NSL7ZDCF4H5XJWU","short_pith_number":"pith:E2HCE5IS","canonical_record":{"source":{"id":"hep-ph/9402243","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-02-07T23:01:02Z","cross_cats_sorted":[],"title_canon_sha256":"bc61922690e889618026ef3b71292ca8c5816340dd56ccaf664935f9869ba987","abstract_canon_sha256":"305c99cb7b9a012c4f16804c466526c47adc3377036caf9196ab455282e763e5"},"schema_version":"1.0"},"canonical_sha256":"268e227512663ed92ff9188bc3f6e9b539fee7ffadab2b99f2137c96d8119882","source":{"kind":"arxiv","id":"hep-ph/9402243","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9402243","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9402243v1","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9402243","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"E2HCE5ISMY7N","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"pith_short_16","alias_value":"E2HCE5ISMY7NSL7Z","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"pith_short_8","alias_value":"E2HCE5IS","created_at":"2026-07-04T15:32:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:E2HCE5ISMY7NSL7ZDCF4H5XJWU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9402243","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1994-02-07T23:01:02Z","cross_cats_sorted":[],"title_canon_sha256":"bc61922690e889618026ef3b71292ca8c5816340dd56ccaf664935f9869ba987","abstract_canon_sha256":"305c99cb7b9a012c4f16804c466526c47adc3377036caf9196ab455282e763e5"},"schema_version":"1.0"},"canonical_sha256":"268e227512663ed92ff9188bc3f6e9b539fee7ffadab2b99f2137c96d8119882","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:32:23.337671Z","signature_b64":"FfELOZceC3Kon1bYE3y/t6/p3ykYNmd8pSp3mXpMyF9mVLQ4wKhFD3s9sqq9KowPhmelTZncp0ZOf37hYzWaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"268e227512663ed92ff9188bc3f6e9b539fee7ffadab2b99f2137c96d8119882","last_reissued_at":"2026-07-04T15:32:23.337232Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:32:23.337232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9402243","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":"2026-07-04T15:32:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2rWpqVOLSzHqEEWXAOOYJnUWZsxo02HWRgp0MrXXW/0dIEHhIqZ3ct9RIt5UkCWt2GirbVm+HE6u3WUqYCCiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:49:18.628521Z"},"content_sha256":"8a5f6fd6db7299b2a19c86802b1b3cf9b98e00cdc3ccdbd6f64ce6c82555e071","schema_version":"1.0","event_id":"sha256:8a5f6fd6db7299b2a19c86802b1b3cf9b98e00cdc3ccdbd6f64ce6c82555e071"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:E2HCE5ISMY7NSL7ZDCF4H5XJWU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\mbox{SU}(3)_L \\otimes \\mbox{U}(1)_N$ and $\\mbox{SU}(4)_L \\otimes \\mbox{U}(1)_N$ gauge models with right-handed neutrinos","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hoang Ngoc Long, Robert Foot, Tuan A.Tran","submitted_at":"1994-02-07T23:01:02Z","abstract_excerpt":"Pisano and Pleitez have introduced an interesting $\\mbox{SU}(3)_C \\otimes \\mbox{SU}(3)_L \\otimes \\mbox{U}(1)_N$ gauge model which has the property that gauge anomaly cancellation requires the number of generations to be a multiple of 3. We consider generalizing that model to incorporate right-handed neutrinos. We find that there exists a non-trivial generalization of the Pisano-Pleitez model with right-handed neutrinos which is actually simpler than the original model in that symmetry breaking can be achieved with just three $\\mbox{SU}(3)_L$ triplets (rather than 3 $\\mbox{SU}(3)_L$ triplets an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9402243","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9402243/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:32:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nn5KQAHPV9HX970WweCeQZMta60PB+OLLcmwM8ZtNL1ugd8OcXLSYrhwppFqALjVFUt+sq23K8UItyV/J9DbAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T08:49:18.629400Z"},"content_sha256":"8287e32cdbce7b410c0516ad2121ab4dc2cded4ec0a2bdb7dacf15d54cd78cf3","schema_version":"1.0","event_id":"sha256:8287e32cdbce7b410c0516ad2121ab4dc2cded4ec0a2bdb7dacf15d54cd78cf3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU/bundle.json","state_url":"https://pith.science/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU/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":"2026-08-12T08:49:18Z","links":{"resolver":"https://pith.science/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU","bundle":"https://pith.science/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU/bundle.json","state":"https://pith.science/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E2HCE5ISMY7NSL7ZDCF4H5XJWU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:E2HCE5ISMY7NSL7ZDCF4H5XJWU","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":"305c99cb7b9a012c4f16804c466526c47adc3377036caf9196ab455282e763e5","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1994-02-07T23:01:02Z","title_canon_sha256":"bc61922690e889618026ef3b71292ca8c5816340dd56ccaf664935f9869ba987"},"schema_version":"1.0","source":{"id":"hep-ph/9402243","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9402243","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9402243v1","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9402243","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"E2HCE5ISMY7N","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"pith_short_16","alias_value":"E2HCE5ISMY7NSL7Z","created_at":"2026-07-04T15:32:23Z"},{"alias_kind":"pith_short_8","alias_value":"E2HCE5IS","created_at":"2026-07-04T15:32:23Z"}],"graph_snapshots":[{"event_id":"sha256:8287e32cdbce7b410c0516ad2121ab4dc2cded4ec0a2bdb7dacf15d54cd78cf3","target":"graph","created_at":"2026-07-04T15:32:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9402243/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Pisano and Pleitez have introduced an interesting $\\mbox{SU}(3)_C \\otimes \\mbox{SU}(3)_L \\otimes \\mbox{U}(1)_N$ gauge model which has the property that gauge anomaly cancellation requires the number of generations to be a multiple of 3. We consider generalizing that model to incorporate right-handed neutrinos. We find that there exists a non-trivial generalization of the Pisano-Pleitez model with right-handed neutrinos which is actually simpler than the original model in that symmetry breaking can be achieved with just three $\\mbox{SU}(3)_L$ triplets (rather than 3 $\\mbox{SU}(3)_L$ triplets an","authors_text":"Hoang Ngoc Long, Robert Foot, Tuan A.Tran","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1994-02-07T23:01:02Z","title":"$\\mbox{SU}(3)_L \\otimes \\mbox{U}(1)_N$ and $\\mbox{SU}(4)_L \\otimes \\mbox{U}(1)_N$ gauge models with right-handed neutrinos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9402243","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":"sha256:8a5f6fd6db7299b2a19c86802b1b3cf9b98e00cdc3ccdbd6f64ce6c82555e071","target":"record","created_at":"2026-07-04T15:32:23Z","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":"305c99cb7b9a012c4f16804c466526c47adc3377036caf9196ab455282e763e5","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1994-02-07T23:01:02Z","title_canon_sha256":"bc61922690e889618026ef3b71292ca8c5816340dd56ccaf664935f9869ba987"},"schema_version":"1.0","source":{"id":"hep-ph/9402243","kind":"arxiv","version":1}},"canonical_sha256":"268e227512663ed92ff9188bc3f6e9b539fee7ffadab2b99f2137c96d8119882","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"268e227512663ed92ff9188bc3f6e9b539fee7ffadab2b99f2137c96d8119882","first_computed_at":"2026-07-04T15:32:23.337232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:32:23.337232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FfELOZceC3Kon1bYE3y/t6/p3ykYNmd8pSp3mXpMyF9mVLQ4wKhFD3s9sqq9KowPhmelTZncp0ZOf37hYzWaCw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:32:23.337671Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9402243","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a5f6fd6db7299b2a19c86802b1b3cf9b98e00cdc3ccdbd6f64ce6c82555e071","sha256:8287e32cdbce7b410c0516ad2121ab4dc2cded4ec0a2bdb7dacf15d54cd78cf3"],"state_sha256":"cb4f2eb0c53095547ec907b292ab14d4b053dd40bfc066f52adbc73cee09bbd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lv6tLk7efOqzNPUrUTKpigbY4UGxDTrn5KQ8ZEtKpOJKdlp80nArq6itxQbkbcK9U2TU36JjBgxArGc6pyVxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T08:49:18.636110Z","bundle_sha256":"31bde07a2cf46be4a6c7ee32f94de7dcfecb85d0122e9a3d1d8ba0a954fdc969"}}