{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:EITBCFXGZTLVO2LHRO64GT2P4L","short_pith_number":"pith:EITBCFXG","canonical_record":{"source":{"id":"2106.10451","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-06-19T08:22:09Z","cross_cats_sorted":[],"title_canon_sha256":"7766bc1bfae47b8e03d28082a498e1dc2d36d4c89e99fe2765a70bb2c6595c27","abstract_canon_sha256":"7f02bc155e7759bc2af14826923a9bf87dbeb56cae86d04ab67ab9838884fee7"},"schema_version":"1.0"},"canonical_sha256":"22261116e6ccd75769678bbdc34f4fe2fdd96f4371aad5cc2e38db8dcbdc3f0c","source":{"kind":"arxiv","id":"2106.10451","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.10451","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"2106.10451v2","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.10451","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"EITBCFXGZTLV","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"pith_short_16","alias_value":"EITBCFXGZTLVO2LH","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"pith_short_8","alias_value":"EITBCFXG","created_at":"2026-07-05T04:15:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:EITBCFXGZTLVO2LHRO64GT2P4L","target":"record","payload":{"canonical_record":{"source":{"id":"2106.10451","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-06-19T08:22:09Z","cross_cats_sorted":[],"title_canon_sha256":"7766bc1bfae47b8e03d28082a498e1dc2d36d4c89e99fe2765a70bb2c6595c27","abstract_canon_sha256":"7f02bc155e7759bc2af14826923a9bf87dbeb56cae86d04ab67ab9838884fee7"},"schema_version":"1.0"},"canonical_sha256":"22261116e6ccd75769678bbdc34f4fe2fdd96f4371aad5cc2e38db8dcbdc3f0c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:15:43.212380Z","signature_b64":"8Qi72cu7fmdM5LjLwcoSiVKLziDMu5HnjjWiuFpMNrFjlVFoj2ZwablsjGTBmRITAl8mAZaRm0GsBO4hVtZTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22261116e6ccd75769678bbdc34f4fe2fdd96f4371aad5cc2e38db8dcbdc3f0c","last_reissued_at":"2026-07-05T04:15:43.211894Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:15:43.211894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2106.10451","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":"2026-07-05T04:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olJKjP+iyyBESxn09FwYFJqcnxHFFpp33c0T4PNtgbJcdLV9Wfz/zFI+MTZYndhxbK7ps3tKucgIay33s/r3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:04:48.033605Z"},"content_sha256":"3017be75c8d85fd1a9bd0f650e2638a755c9dcc2f5bdcd19b2403df4e744e698","schema_version":"1.0","event_id":"sha256:3017be75c8d85fd1a9bd0f650e2638a755c9dcc2f5bdcd19b2403df4e744e698"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:EITBCFXGZTLVO2LHRO64GT2P4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Radiative Neutrino Mass Model in Dark Non-Abelian Gauge Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hiroshi Okada, Takaaki Nomura","submitted_at":"2021-06-19T08:22:09Z","abstract_excerpt":"We discuss a model based on dark sector described by non-Abelian $SU(2)_D$ gauge symmetry where we introduce $SU(2)_L \\times SU(2)_D$ bi-doublet vector-like leptons to generate active neutrino masses and kinetic mixing between $SU(2)_D$ and $U(1)_Y$ gauge fields at one-loop level. After spontaneous symmetry breaking of $SU(2)_D$, we have remnant $Z_4$ symmetry guaranteeing stability of dark matter candidates. We formulate neutrino mass matrix and related lepton flavor violating processes and discus dark matter physics estimating relic density. It is found that our model realize multicomponent "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.10451","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2106.10451/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":"2026-07-05T04:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kna9Y0SmaH0oU+SIs8NWDQZsvxn3eAVAr3HIDp4NyY0VkF+T5SCcCOhZ3iME5eIz+p3e7eoNkNUMthT47qJ6Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:04:48.034446Z"},"content_sha256":"3d6b37280d57b747b92f532b557e65f3466069d62570ff339fcebc393efce18c","schema_version":"1.0","event_id":"sha256:3d6b37280d57b747b92f532b557e65f3466069d62570ff339fcebc393efce18c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EITBCFXGZTLVO2LHRO64GT2P4L/bundle.json","state_url":"https://pith.science/pith/EITBCFXGZTLVO2LHRO64GT2P4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EITBCFXGZTLVO2LHRO64GT2P4L/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":"2026-08-04T11:04:48Z","links":{"resolver":"https://pith.science/pith/EITBCFXGZTLVO2LHRO64GT2P4L","bundle":"https://pith.science/pith/EITBCFXGZTLVO2LHRO64GT2P4L/bundle.json","state":"https://pith.science/pith/EITBCFXGZTLVO2LHRO64GT2P4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EITBCFXGZTLVO2LHRO64GT2P4L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:EITBCFXGZTLVO2LHRO64GT2P4L","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":"7f02bc155e7759bc2af14826923a9bf87dbeb56cae86d04ab67ab9838884fee7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-06-19T08:22:09Z","title_canon_sha256":"7766bc1bfae47b8e03d28082a498e1dc2d36d4c89e99fe2765a70bb2c6595c27"},"schema_version":"1.0","source":{"id":"2106.10451","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.10451","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"2106.10451v2","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.10451","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"EITBCFXGZTLV","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"pith_short_16","alias_value":"EITBCFXGZTLVO2LH","created_at":"2026-07-05T04:15:43Z"},{"alias_kind":"pith_short_8","alias_value":"EITBCFXG","created_at":"2026-07-05T04:15:43Z"}],"graph_snapshots":[{"event_id":"sha256:3d6b37280d57b747b92f532b557e65f3466069d62570ff339fcebc393efce18c","target":"graph","created_at":"2026-07-05T04:15:43Z","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/2106.10451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss a model based on dark sector described by non-Abelian $SU(2)_D$ gauge symmetry where we introduce $SU(2)_L \\times SU(2)_D$ bi-doublet vector-like leptons to generate active neutrino masses and kinetic mixing between $SU(2)_D$ and $U(1)_Y$ gauge fields at one-loop level. After spontaneous symmetry breaking of $SU(2)_D$, we have remnant $Z_4$ symmetry guaranteeing stability of dark matter candidates. We formulate neutrino mass matrix and related lepton flavor violating processes and discus dark matter physics estimating relic density. It is found that our model realize multicomponent ","authors_text":"Hiroshi Okada, Takaaki Nomura","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-06-19T08:22:09Z","title":"A Radiative Neutrino Mass Model in Dark Non-Abelian Gauge Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.10451","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":"sha256:3017be75c8d85fd1a9bd0f650e2638a755c9dcc2f5bdcd19b2403df4e744e698","target":"record","created_at":"2026-07-05T04:15:43Z","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":"7f02bc155e7759bc2af14826923a9bf87dbeb56cae86d04ab67ab9838884fee7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2021-06-19T08:22:09Z","title_canon_sha256":"7766bc1bfae47b8e03d28082a498e1dc2d36d4c89e99fe2765a70bb2c6595c27"},"schema_version":"1.0","source":{"id":"2106.10451","kind":"arxiv","version":2}},"canonical_sha256":"22261116e6ccd75769678bbdc34f4fe2fdd96f4371aad5cc2e38db8dcbdc3f0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22261116e6ccd75769678bbdc34f4fe2fdd96f4371aad5cc2e38db8dcbdc3f0c","first_computed_at":"2026-07-05T04:15:43.211894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:15:43.211894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8Qi72cu7fmdM5LjLwcoSiVKLziDMu5HnjjWiuFpMNrFjlVFoj2ZwablsjGTBmRITAl8mAZaRm0GsBO4hVtZTBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:15:43.212380Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.10451","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3017be75c8d85fd1a9bd0f650e2638a755c9dcc2f5bdcd19b2403df4e744e698","sha256:3d6b37280d57b747b92f532b557e65f3466069d62570ff339fcebc393efce18c"],"state_sha256":"a69d3eb7f30422b1c779f70388dce335e1420474b8b54b634225d5cf9d39da06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N1ePMbp/Z9TJbyITvqFZpu852bd5bLv2qT8nfvhZFAveVD5fUvW8jEGL5wODtkpdBQnget4JCvl3BuU/3U2tAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:04:48.039971Z","bundle_sha256":"eea74b7ca56479035d931a242c1c4618897663434f91bb8a500e284a58c98f7f"}}