{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:AYJ24HBREQM7OV5LXLIZ7KTAP3","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":"78f71d0a1458611872d1e589544e9dd583b896a8af6efb88b1df248f280a859c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-14T18:59:59Z","title_canon_sha256":"d8bb6b8412e223d3125102f387b17cae6876403773c36ec3a64c9c1f1d68b385"},"schema_version":"1.0","source":{"id":"2211.07639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.07639","created_at":"2026-07-05T05:15:55Z"},{"alias_kind":"arxiv_version","alias_value":"2211.07639v1","created_at":"2026-07-05T05:15:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.07639","created_at":"2026-07-05T05:15:55Z"},{"alias_kind":"pith_short_12","alias_value":"AYJ24HBREQM7","created_at":"2026-07-05T05:15:55Z"},{"alias_kind":"pith_short_16","alias_value":"AYJ24HBREQM7OV5L","created_at":"2026-07-05T05:15:55Z"},{"alias_kind":"pith_short_8","alias_value":"AYJ24HBR","created_at":"2026-07-05T05:15:55Z"}],"graph_snapshots":[{"event_id":"sha256:a664b4c4c2acd90f6b27c841719ce17ee32d42ff9394e60aad3a95d72bf01373","target":"graph","created_at":"2026-07-05T05:15:55Z","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/2211.07639/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore generalized global symmetries in theories of physics beyond the Standard Model. Theories of $Z'$ bosons generically contain 'non-invertible' chiral symmetries, whose presence indicates a natural paradigm to break this symmetry by an exponentially small amount in an ultraviolet completion. For example, in models of gauged lepton family difference such as the phenomenologically well-motivated $U(1)_{L_\\mu - L_\\tau}$, there is a non-invertible lepton number symmetry which protects neutrino masses. We embed these theories in gauged non-Abelian horizontal lepton symmetries, e.g. $U(1)_{L","authors_text":"Clay Cordova, Kantaro Ohmori, Seth Koren, Sungwoo Hong","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-14T18:59:59Z","title":"Neutrino Masses from Generalized Symmetry Breaking"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.07639","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":"sha256:60dcaec7734ddb4da7b3357d7f41d5527ed89dc0ff446426f82078d82ab40698","target":"record","created_at":"2026-07-05T05:15:55Z","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":"78f71d0a1458611872d1e589544e9dd583b896a8af6efb88b1df248f280a859c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-14T18:59:59Z","title_canon_sha256":"d8bb6b8412e223d3125102f387b17cae6876403773c36ec3a64c9c1f1d68b385"},"schema_version":"1.0","source":{"id":"2211.07639","kind":"arxiv","version":1}},"canonical_sha256":"0613ae1c312419f757abbad19faa607eff9b8e401e90fe4a2908e18bc515e376","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0613ae1c312419f757abbad19faa607eff9b8e401e90fe4a2908e18bc515e376","first_computed_at":"2026-07-05T05:15:55.879806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:15:55.879806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"grEF4Dy6P0f9Y6otz7SvxfA/soZ8XHX5p6lDN60y2adWQn0kLxd5utsM92GUyo/UnauYKnPS0bQ8zvfiD66VCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:15:55.880343Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.07639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60dcaec7734ddb4da7b3357d7f41d5527ed89dc0ff446426f82078d82ab40698","sha256:a664b4c4c2acd90f6b27c841719ce17ee32d42ff9394e60aad3a95d72bf01373"],"state_sha256":"c57a1fe8a42c587ddde233798e075f56f81fc75bb9c584aefdfb4160d75ab7bb"}