{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:OWCV25EQSSTWY27OOSVXZCZD3A","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":"29392a6705f95e70243d896539c286ef14e7d23065e4eb746f6af970ea904848","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-22T18:00:01Z","title_canon_sha256":"30de2bf3b6c24ad2bbbe8e437d64eb87c14536ff75e2a75670d3b7eb2fec7015"},"schema_version":"1.0","source":{"id":"2206.11271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.11271","created_at":"2026-07-05T05:07:46Z"},{"alias_kind":"arxiv_version","alias_value":"2206.11271v2","created_at":"2026-07-05T05:07:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.11271","created_at":"2026-07-05T05:07:46Z"},{"alias_kind":"pith_short_12","alias_value":"OWCV25EQSSTW","created_at":"2026-07-05T05:07:46Z"},{"alias_kind":"pith_short_16","alias_value":"OWCV25EQSSTWY27O","created_at":"2026-07-05T05:07:46Z"},{"alias_kind":"pith_short_8","alias_value":"OWCV25EQ","created_at":"2026-07-05T05:07:46Z"}],"graph_snapshots":[{"event_id":"sha256:8d7627306e7e6fdc04902bb9ebce8540430279186cdef02cb4e64ee8b99a8be7","target":"graph","created_at":"2026-07-05T05:07:46Z","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/2206.11271/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We parametrise the space of all possible flavour non-universal $\\mathfrak{u}(1)_X$ extensions of the Standard Model that embed inside anomaly-free semi-simple gauge theories, including up to three right-handed neutrinos. More generally, we parametrise all abelian extensions (i.e.) by any number of $\\mathfrak{u}(1)$'s) of the SM with such semi-simple completions. The resulting space of abelian extensions is a collection of planes of dimensions $\\leq 6$. Numerically, we find that roughly $2.5\\%$ of anomaly-free $\\mathfrak{u}(1)_X$ extensions of the SM with a maximum charge ratio of $\\pm 10$ can ","authors_text":"Joe Davighi, Joseph Tooby-Smith","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-22T18:00:01Z","title":"Flatland: abelian extensions of the Standard Model with semi-simple completions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.11271","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":"sha256:99dc752e20908b3ace7f2419a333319a2eeb1ea76e8dbe8c98bf9fae0b46f307","target":"record","created_at":"2026-07-05T05:07:46Z","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":"29392a6705f95e70243d896539c286ef14e7d23065e4eb746f6af970ea904848","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-06-22T18:00:01Z","title_canon_sha256":"30de2bf3b6c24ad2bbbe8e437d64eb87c14536ff75e2a75670d3b7eb2fec7015"},"schema_version":"1.0","source":{"id":"2206.11271","kind":"arxiv","version":2}},"canonical_sha256":"75855d749094a76c6bee74ab7c8b23d804655dcad72a59ebd6b3a657680f0740","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75855d749094a76c6bee74ab7c8b23d804655dcad72a59ebd6b3a657680f0740","first_computed_at":"2026-07-05T05:07:46.766141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:46.766141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NLoNZpO9dRCkzZGIQ9lBtrFozcQvx70ljboQcpA/fHpsf9yY0NmBykfsvYIrb6rZkoJd0boEuCffLd+a+OtfBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:46.766570Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.11271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99dc752e20908b3ace7f2419a333319a2eeb1ea76e8dbe8c98bf9fae0b46f307","sha256:8d7627306e7e6fdc04902bb9ebce8540430279186cdef02cb4e64ee8b99a8be7"],"state_sha256":"91406d46d8b7c4806857d9e566ca2d3e72a037efcb3861d00831c0cf9119edf2"}