{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:CXEH36L6NVVI2FWHMZO6XWQRMD","short_pith_number":"pith:CXEH36L6","canonical_record":{"source":{"id":"1203.3117","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-14T15:46:39Z","cross_cats_sorted":[],"title_canon_sha256":"d4559639dd54c7429f002f2cba82e5dac4ad6f6c4588574929d9d0cbe3d60e6a","abstract_canon_sha256":"618d317af24ac19ee5c9004a7b89fc96d2a0f5e86ac0c694875bc8e359822f07"},"schema_version":"1.0"},"canonical_sha256":"15c87df97e6d6a8d16c7665debda1160e6ff1806c0e239f8c1e13dbcd390e56e","source":{"kind":"arxiv","id":"1203.3117","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3117","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3117v2","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3117","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"pith_short_12","alias_value":"CXEH36L6NVVI","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CXEH36L6NVVI2FWH","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CXEH36L6","created_at":"2026-05-18T12:27:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:CXEH36L6NVVI2FWHMZO6XWQRMD","target":"record","payload":{"canonical_record":{"source":{"id":"1203.3117","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-14T15:46:39Z","cross_cats_sorted":[],"title_canon_sha256":"d4559639dd54c7429f002f2cba82e5dac4ad6f6c4588574929d9d0cbe3d60e6a","abstract_canon_sha256":"618d317af24ac19ee5c9004a7b89fc96d2a0f5e86ac0c694875bc8e359822f07"},"schema_version":"1.0"},"canonical_sha256":"15c87df97e6d6a8d16c7665debda1160e6ff1806c0e239f8c1e13dbcd390e56e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:28.005533Z","signature_b64":"x1TqxQmEddYwDHKCUUn79GhPJH8+hYS1FggREgnHDVyQF+zeQZ7u+hd9Fb8liT30ZRmsh+5iLZsQZZkeDnRZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15c87df97e6d6a8d16c7665debda1160e6ff1806c0e239f8c1e13dbcd390e56e","last_reissued_at":"2026-05-18T03:52:28.004806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:28.004806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.3117","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":"2026-05-18T03:52:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rTtQKrggScYgN3O5wG6TCYsD2UAJ1V0Wu5wvmB48CHje3mJVOHq/VHGBScEUxzppxogb8YPtOQKg5LG9+ksjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:13:22.374407Z"},"content_sha256":"6d8c50c7af4f2bf12ff664a8d7c989821cc597c33f1bef7885d5945f35022b62","schema_version":"1.0","event_id":"sha256:6d8c50c7af4f2bf12ff664a8d7c989821cc597c33f1bef7885d5945f35022b62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:CXEH36L6NVVI2FWHMZO6XWQRMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Hierarchies from a Gauge Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Julian Heeck, Werner Rodejohann","submitted_at":"2012-03-14T15:46:39Z","abstract_excerpt":"We consider the phenomenology of the gauged abelian symmetry B + 3 (L_e - L_mu - L_tau). Right-handed neutrinos necessary to cancel triangle anomalies are used in a type-I seesaw scheme to create active neutrino masses. Breaking the B + 3 (L_e - L_mu - L_tau) symmetry spontaneously below the seesaw scale generates low energy neutrino mass matrices with the approximate symmetries L_e (leading to normal hierarchy) or L_e - L_mu - L_tau (inverted hierarchy). For the latter we need to introduce a Z_2 symmetry which decouples one of the right-handed neutrinos. If exact, this Z_2 leads to a Majorana"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3117","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":"2026-05-18T03:52:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qfNVBdEzOHfcNDdC0apkiwy/qhYm1ghGQj7F0VhY60JOVcbBowSNBArspeSRRd/du1eiloi+7u7YqDsRh/65Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:13:22.374777Z"},"content_sha256":"c2dcb3edc7bf9ee4498975803a12bfdb5cd72e984411427636003e970dde2a13","schema_version":"1.0","event_id":"sha256:c2dcb3edc7bf9ee4498975803a12bfdb5cd72e984411427636003e970dde2a13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXEH36L6NVVI2FWHMZO6XWQRMD/bundle.json","state_url":"https://pith.science/pith/CXEH36L6NVVI2FWHMZO6XWQRMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXEH36L6NVVI2FWHMZO6XWQRMD/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":"2026-06-01T19:13:22Z","links":{"resolver":"https://pith.science/pith/CXEH36L6NVVI2FWHMZO6XWQRMD","bundle":"https://pith.science/pith/CXEH36L6NVVI2FWHMZO6XWQRMD/bundle.json","state":"https://pith.science/pith/CXEH36L6NVVI2FWHMZO6XWQRMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXEH36L6NVVI2FWHMZO6XWQRMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CXEH36L6NVVI2FWHMZO6XWQRMD","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":"618d317af24ac19ee5c9004a7b89fc96d2a0f5e86ac0c694875bc8e359822f07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-14T15:46:39Z","title_canon_sha256":"d4559639dd54c7429f002f2cba82e5dac4ad6f6c4588574929d9d0cbe3d60e6a"},"schema_version":"1.0","source":{"id":"1203.3117","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3117","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3117v2","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3117","created_at":"2026-05-18T03:52:28Z"},{"alias_kind":"pith_short_12","alias_value":"CXEH36L6NVVI","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CXEH36L6NVVI2FWH","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CXEH36L6","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:c2dcb3edc7bf9ee4498975803a12bfdb5cd72e984411427636003e970dde2a13","target":"graph","created_at":"2026-05-18T03:52:28Z","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 consider the phenomenology of the gauged abelian symmetry B + 3 (L_e - L_mu - L_tau). Right-handed neutrinos necessary to cancel triangle anomalies are used in a type-I seesaw scheme to create active neutrino masses. Breaking the B + 3 (L_e - L_mu - L_tau) symmetry spontaneously below the seesaw scale generates low energy neutrino mass matrices with the approximate symmetries L_e (leading to normal hierarchy) or L_e - L_mu - L_tau (inverted hierarchy). For the latter we need to introduce a Z_2 symmetry which decouples one of the right-handed neutrinos. If exact, this Z_2 leads to a Majorana","authors_text":"Julian Heeck, Werner Rodejohann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-14T15:46:39Z","title":"Neutrino Hierarchies from a Gauge Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3117","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":"sha256:6d8c50c7af4f2bf12ff664a8d7c989821cc597c33f1bef7885d5945f35022b62","target":"record","created_at":"2026-05-18T03:52:28Z","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":"618d317af24ac19ee5c9004a7b89fc96d2a0f5e86ac0c694875bc8e359822f07","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-03-14T15:46:39Z","title_canon_sha256":"d4559639dd54c7429f002f2cba82e5dac4ad6f6c4588574929d9d0cbe3d60e6a"},"schema_version":"1.0","source":{"id":"1203.3117","kind":"arxiv","version":2}},"canonical_sha256":"15c87df97e6d6a8d16c7665debda1160e6ff1806c0e239f8c1e13dbcd390e56e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15c87df97e6d6a8d16c7665debda1160e6ff1806c0e239f8c1e13dbcd390e56e","first_computed_at":"2026-05-18T03:52:28.004806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:28.004806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x1TqxQmEddYwDHKCUUn79GhPJH8+hYS1FggREgnHDVyQF+zeQZ7u+hd9Fb8liT30ZRmsh+5iLZsQZZkeDnRZBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:28.005533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3117","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d8c50c7af4f2bf12ff664a8d7c989821cc597c33f1bef7885d5945f35022b62","sha256:c2dcb3edc7bf9ee4498975803a12bfdb5cd72e984411427636003e970dde2a13"],"state_sha256":"27bb9d449ed5511a6ed347d8429a23a812af070459b57e69227e212234d164dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9XlZOpEvdY7TqeldgannG46HMOnRi7fZ0ei8LyKmQ4JxqBfmePfBLx5uI5j3fuVwDqcFOBF3Q3p3DUHsxZ6CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:13:22.376751Z","bundle_sha256":"63b0f07b0322a660d7378a2d1af4d1ce35609a7b80b5a4e9d3470cf8e15e0d63"}}