{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:UTZSJL46HDHDEOCRONGKY4UKH7","short_pith_number":"pith:UTZSJL46","schema_version":"1.0","canonical_sha256":"a4f324af9e38ce323851734cac728a3ff34a17d2e523bf9f0a80024add5d3335","source":{"kind":"arxiv","id":"1505.03208","version":2},"attestation_state":"computed","paper":{"title":"Alternative $Z'$ Bosons in $E_6$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Eduardo Rojas, Jens Erler","submitted_at":"2015-05-13T01:26:59Z","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 "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1505.03208","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-13T01:26:59Z","cross_cats_sorted":[],"title_canon_sha256":"fb4d92b205e6a75b1875485e268aed0068a258f8397a602ad994e803061b0d2d","abstract_canon_sha256":"9c8d9146f0f543d722a98ee3f0b3f092ab9f52cfaf566215764a7f183e3a2f10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:56.157125Z","signature_b64":"/P9PWQ7s/L6C+z9VpRoEdt8z4JTYf0qRD0NLQKJRQod8wKYlogKPX/ygVjRAgiPxKsJjkCem9ReyRQ3qGPmGBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4f324af9e38ce323851734cac728a3ff34a17d2e523bf9f0a80024add5d3335","last_reissued_at":"2026-05-18T01:28:56.156284Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:56.156284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Alternative $Z'$ Bosons in $E_6$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Eduardo Rojas, Jens Erler","submitted_at":"2015-05-13T01:26:59Z","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 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.03208","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1505.03208","created_at":"2026-05-18T01:28:56.156453+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.03208v2","created_at":"2026-05-18T01:28:56.156453+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.03208","created_at":"2026-05-18T01:28:56.156453+00:00"},{"alias_kind":"pith_short_12","alias_value":"UTZSJL46HDHD","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"UTZSJL46HDHDEOCR","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"UTZSJL46","created_at":"2026-05-18T12:29:44.643036+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.24005","citing_title":"Non-Standard Interactions and Light Z' Bosons from CEvNS Data at CONUS+: A Statistical Analysis","ref_index":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7","json":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7.json","graph_json":"https://pith.science/api/pith-number/UTZSJL46HDHDEOCRONGKY4UKH7/graph.json","events_json":"https://pith.science/api/pith-number/UTZSJL46HDHDEOCRONGKY4UKH7/events.json","paper":"https://pith.science/paper/UTZSJL46"},"agent_actions":{"view_html":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7","download_json":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7.json","view_paper":"https://pith.science/paper/UTZSJL46","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.03208&json=true","fetch_graph":"https://pith.science/api/pith-number/UTZSJL46HDHDEOCRONGKY4UKH7/graph.json","fetch_events":"https://pith.science/api/pith-number/UTZSJL46HDHDEOCRONGKY4UKH7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7/action/storage_attestation","attest_author":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7/action/author_attestation","sign_citation":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7/action/citation_signature","submit_replication":"https://pith.science/pith/UTZSJL46HDHDEOCRONGKY4UKH7/action/replication_record"}},"created_at":"2026-05-18T01:28:56.156453+00:00","updated_at":"2026-05-18T01:28:56.156453+00:00"}