{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UTZSJL46HDHDEOCRONGKY4UKH7","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":"9c8d9146f0f543d722a98ee3f0b3f092ab9f52cfaf566215764a7f183e3a2f10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-13T01:26:59Z","title_canon_sha256":"fb4d92b205e6a75b1875485e268aed0068a258f8397a602ad994e803061b0d2d"},"schema_version":"1.0","source":{"id":"1505.03208","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.03208","created_at":"2026-05-18T01:28:56Z"},{"alias_kind":"arxiv_version","alias_value":"1505.03208v2","created_at":"2026-05-18T01:28:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03208","created_at":"2026-05-18T01:28:56Z"},{"alias_kind":"pith_short_12","alias_value":"UTZSJL46HDHD","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UTZSJL46HDHDEOCR","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UTZSJL46","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:587ad4e165bfcab6b7ba7fe5dfae6d8e9df10073c7c7a9257fd0ba0ec2e95ff3","target":"graph","created_at":"2026-05-18T01:28:56Z","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 classify the quantum numbers of the extra $U(1)'$ symmetries contained in $E_6$. In particular, we categorize the cases with rational charges and present the full list of models which arise from the chains of the maximal subgroups of $E_6$. As an application, the classification allows us to determine all embeddings of the Standard Model fermions in all possible decompositions of the fundamental representation of $E_6$ under its maximal subgroups. From this we find alternative chains of subgroups for Grand Unified Theories. We show how many of the known models including some new ones appear ","authors_text":"Eduardo Rojas, Jens Erler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-13T01:26:59Z","title":"Alternative $Z'$ Bosons in $E_6$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03208","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":"sha256:3f3fd244fce4b17feddb64448d5cda65d3a3f401bbec25e686a10a420f8b2a5d","target":"record","created_at":"2026-05-18T01:28:56Z","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":"9c8d9146f0f543d722a98ee3f0b3f092ab9f52cfaf566215764a7f183e3a2f10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-13T01:26:59Z","title_canon_sha256":"fb4d92b205e6a75b1875485e268aed0068a258f8397a602ad994e803061b0d2d"},"schema_version":"1.0","source":{"id":"1505.03208","kind":"arxiv","version":2}},"canonical_sha256":"a4f324af9e38ce323851734cac728a3ff34a17d2e523bf9f0a80024add5d3335","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4f324af9e38ce323851734cac728a3ff34a17d2e523bf9f0a80024add5d3335","first_computed_at":"2026-05-18T01:28:56.156284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:56.156284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/P9PWQ7s/L6C+z9VpRoEdt8z4JTYf0qRD0NLQKJRQod8wKYlogKPX/ygVjRAgiPxKsJjkCem9ReyRQ3qGPmGBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:56.157125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.03208","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f3fd244fce4b17feddb64448d5cda65d3a3f401bbec25e686a10a420f8b2a5d","sha256:587ad4e165bfcab6b7ba7fe5dfae6d8e9df10073c7c7a9257fd0ba0ec2e95ff3"],"state_sha256":"f4415305108ebacdbcf1b9f88e4040a71f71a8ee3da08df57ca1f120b8dd3b27"}