{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UG4TTO3GUP52Z6KBHDUAU7ZDWI","short_pith_number":"pith:UG4TTO3G","canonical_record":{"source":{"id":"1708.09723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-31T14:06:46Z","cross_cats_sorted":[],"title_canon_sha256":"9d9fd588e666d3c7ec10485b214117bf7d1a52a4b6881362293afe10b33158ea","abstract_canon_sha256":"8886938c6f4dd19e5ae0776ec7ff863649f06b310233958132dbad3d5be316e9"},"schema_version":"1.0"},"canonical_sha256":"a1b939bb66a3fbacf94138e80a7f23b2357e0cd518ebc9e6c257cf9db7430ccb","source":{"kind":"arxiv","id":"1708.09723","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09723","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09723v2","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09723","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"UG4TTO3GUP52","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UG4TTO3GUP52Z6KB","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UG4TTO3G","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UG4TTO3GUP52Z6KBHDUAU7ZDWI","target":"record","payload":{"canonical_record":{"source":{"id":"1708.09723","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-31T14:06:46Z","cross_cats_sorted":[],"title_canon_sha256":"9d9fd588e666d3c7ec10485b214117bf7d1a52a4b6881362293afe10b33158ea","abstract_canon_sha256":"8886938c6f4dd19e5ae0776ec7ff863649f06b310233958132dbad3d5be316e9"},"schema_version":"1.0"},"canonical_sha256":"a1b939bb66a3fbacf94138e80a7f23b2357e0cd518ebc9e6c257cf9db7430ccb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:27.028852Z","signature_b64":"66CX2D2ww2b3elB1J30/ZFV+BQLIPZneoDP/qmcUsLal85B1423TUeVAIVkOCuoQU81j8q6dfeow/ylXEsRoCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1b939bb66a3fbacf94138e80a7f23b2357e0cd518ebc9e6c257cf9db7430ccb","last_reissued_at":"2026-05-18T00:19:27.028210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:27.028210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.09723","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":"2026-05-18T00:19:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4HSIchL5mhuiyg135NnKARuwsMl6uIyiLDGPHj39cX0ZtEeB/EWCR2IXNjmSzhaaP1nYQwOexbM8t8KpjuxnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T17:55:21.752857Z"},"content_sha256":"4b8a0a950d2c1820286495023dec3e6bcdb1566732ee17cb9120af68a8182a74","schema_version":"1.0","event_id":"sha256:4b8a0a950d2c1820286495023dec3e6bcdb1566732ee17cb9120af68a8182a74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UG4TTO3GUP52Z6KBHDUAU7ZDWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact one-loop results for $l_i \\to l_j\\gamma$ in 3-3-1 models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"L.D. Ninh, L.T. Hue, N.T.T. Dat, T.T. Thuc","submitted_at":"2017-08-31T14:06:46Z","abstract_excerpt":"We investigate the decays $l_i\\rightarrow l_j \\gamma$, with $l_i=e,\\mu,\\tau$ in a general class of 3-3-1 models with heavy exotic leptons with arbitrary electric charges. We present full and exact analytical results keeping external lepton masses. As a by product, we perform numerical comparisons between exact results and approximate ones where the external lepton masses are neglected. As expected, we found that branching fractions can reach the current experimental limits if mixings and mass differences of the exotic leptons are large enough. We also found unexpectedly that, depending on the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09723","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":"2026-05-18T00:19:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H2AawmXhxhj0P23F9FqVMcgBE36rA/SsAjt689LMrKM3zJsyTQp5WqE7lXu917JTToGUY/87iMVcBYSNkRgIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T17:55:21.753555Z"},"content_sha256":"c0c729c2a9e7a72e415e5b7b771abc439615b108b2bb23c0d9e61323c980fa6c","schema_version":"1.0","event_id":"sha256:c0c729c2a9e7a72e415e5b7b771abc439615b108b2bb23c0d9e61323c980fa6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI/bundle.json","state_url":"https://pith.science/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI/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":"2026-05-23T17:55:21Z","links":{"resolver":"https://pith.science/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI","bundle":"https://pith.science/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI/bundle.json","state":"https://pith.science/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UG4TTO3GUP52Z6KBHDUAU7ZDWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UG4TTO3GUP52Z6KBHDUAU7ZDWI","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":"8886938c6f4dd19e5ae0776ec7ff863649f06b310233958132dbad3d5be316e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-31T14:06:46Z","title_canon_sha256":"9d9fd588e666d3c7ec10485b214117bf7d1a52a4b6881362293afe10b33158ea"},"schema_version":"1.0","source":{"id":"1708.09723","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.09723","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"1708.09723v2","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.09723","created_at":"2026-05-18T00:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"UG4TTO3GUP52","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UG4TTO3GUP52Z6KB","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UG4TTO3G","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:c0c729c2a9e7a72e415e5b7b771abc439615b108b2bb23c0d9e61323c980fa6c","target":"graph","created_at":"2026-05-18T00:19:27Z","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 investigate the decays $l_i\\rightarrow l_j \\gamma$, with $l_i=e,\\mu,\\tau$ in a general class of 3-3-1 models with heavy exotic leptons with arbitrary electric charges. We present full and exact analytical results keeping external lepton masses. As a by product, we perform numerical comparisons between exact results and approximate ones where the external lepton masses are neglected. As expected, we found that branching fractions can reach the current experimental limits if mixings and mass differences of the exotic leptons are large enough. We also found unexpectedly that, depending on the ","authors_text":"L.D. Ninh, L.T. Hue, N.T.T. Dat, T.T. Thuc","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-31T14:06:46Z","title":"Exact one-loop results for $l_i \\to l_j\\gamma$ in 3-3-1 models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.09723","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":"sha256:4b8a0a950d2c1820286495023dec3e6bcdb1566732ee17cb9120af68a8182a74","target":"record","created_at":"2026-05-18T00:19:27Z","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":"8886938c6f4dd19e5ae0776ec7ff863649f06b310233958132dbad3d5be316e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-08-31T14:06:46Z","title_canon_sha256":"9d9fd588e666d3c7ec10485b214117bf7d1a52a4b6881362293afe10b33158ea"},"schema_version":"1.0","source":{"id":"1708.09723","kind":"arxiv","version":2}},"canonical_sha256":"a1b939bb66a3fbacf94138e80a7f23b2357e0cd518ebc9e6c257cf9db7430ccb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1b939bb66a3fbacf94138e80a7f23b2357e0cd518ebc9e6c257cf9db7430ccb","first_computed_at":"2026-05-18T00:19:27.028210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:27.028210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"66CX2D2ww2b3elB1J30/ZFV+BQLIPZneoDP/qmcUsLal85B1423TUeVAIVkOCuoQU81j8q6dfeow/ylXEsRoCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:27.028852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.09723","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b8a0a950d2c1820286495023dec3e6bcdb1566732ee17cb9120af68a8182a74","sha256:c0c729c2a9e7a72e415e5b7b771abc439615b108b2bb23c0d9e61323c980fa6c"],"state_sha256":"387b0d5155fe7a2da2d939db5002a94064c8c8f7700ddd8b4c8e5c2e8bf21a32"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VinHmGJo5IPvqUw973rh19hPh5IpqOQJJjpc/8gyD9rGu2FePOVv+aVJsodUaDXe4kpHGoWq7gWYkrB+LEAyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T17:55:21.757432Z","bundle_sha256":"71272e83797c00b4ef703a428e6edab9a7de47f5e14ed10cd7a3d038891c949e"}}