{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FW4CWMWQNBJI5X6KQHPDPPLGH5","short_pith_number":"pith:FW4CWMWQ","schema_version":"1.0","canonical_sha256":"2db82b32d068528edfca81de37bd663f785459ef662c4f016ceb96ebfea97fbd","source":{"kind":"arxiv","id":"1601.04320","version":2},"attestation_state":"computed","paper":{"title":"Double-bosonization and Majid's Conjecture, (III): type-crossing and inductions of $E_6$ and $E_7$, $E_8$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Hongmei Hu, Naihong Hu","submitted_at":"2016-01-17T18:37:07Z","abstract_excerpt":"Double-bosonization construction in Majid \\cite{majid1} is expectedly allowed to generate a tree of quantum groups. Some main branches of the tree in \\cite{HH1, HH2} have been depicted how to grow up. This paper continues to elucidate the type-crossing and inductive constructions of exceptional quantum groups of types $E_6$ and $E_7$, $E_8$, respectively, based on the generalized double-bosonization Theorem established in \\cite{HH2}. Thus the Majid's expectation for the inductive constructions of $U_q(\\mathfrak g)$'s for all finite-dimensional complex simple Lie algebras is completely achieved"},"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":"1601.04320","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-01-17T18:37:07Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"177c6fbe4d6a882cb13b36187c03f8dc4c439f20d26dc773d71bbda216c20b9f","abstract_canon_sha256":"ba4232a6266d55bc449faa66183fd526faa4997fa85bca017fd04625e4458330"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:15.422555Z","signature_b64":"YfoTN2ngRZHeIiiqVn3VTNB2q8SsZhSMjUc07W6NsM/rAIHo8oY8VirJ+IPabsfqUiGUNTwHw3i1geVexemqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2db82b32d068528edfca81de37bd663f785459ef662c4f016ceb96ebfea97fbd","last_reissued_at":"2026-05-18T01:21:15.422027Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:15.422027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double-bosonization and Majid's Conjecture, (III): type-crossing and inductions of $E_6$ and $E_7$, $E_8$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Hongmei Hu, Naihong Hu","submitted_at":"2016-01-17T18:37:07Z","abstract_excerpt":"Double-bosonization construction in Majid \\cite{majid1} is expectedly allowed to generate a tree of quantum groups. Some main branches of the tree in \\cite{HH1, HH2} have been depicted how to grow up. This paper continues to elucidate the type-crossing and inductive constructions of exceptional quantum groups of types $E_6$ and $E_7$, $E_8$, respectively, based on the generalized double-bosonization Theorem established in \\cite{HH2}. Thus the Majid's expectation for the inductive constructions of $U_q(\\mathfrak g)$'s for all finite-dimensional complex simple Lie algebras is completely achieved"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04320","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":"1601.04320","created_at":"2026-05-18T01:21:15.422100+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.04320v2","created_at":"2026-05-18T01:21:15.422100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04320","created_at":"2026-05-18T01:21:15.422100+00:00"},{"alias_kind":"pith_short_12","alias_value":"FW4CWMWQNBJI","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FW4CWMWQNBJI5X6K","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FW4CWMWQ","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5","json":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5.json","graph_json":"https://pith.science/api/pith-number/FW4CWMWQNBJI5X6KQHPDPPLGH5/graph.json","events_json":"https://pith.science/api/pith-number/FW4CWMWQNBJI5X6KQHPDPPLGH5/events.json","paper":"https://pith.science/paper/FW4CWMWQ"},"agent_actions":{"view_html":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5","download_json":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5.json","view_paper":"https://pith.science/paper/FW4CWMWQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.04320&json=true","fetch_graph":"https://pith.science/api/pith-number/FW4CWMWQNBJI5X6KQHPDPPLGH5/graph.json","fetch_events":"https://pith.science/api/pith-number/FW4CWMWQNBJI5X6KQHPDPPLGH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5/action/storage_attestation","attest_author":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5/action/author_attestation","sign_citation":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5/action/citation_signature","submit_replication":"https://pith.science/pith/FW4CWMWQNBJI5X6KQHPDPPLGH5/action/replication_record"}},"created_at":"2026-05-18T01:21:15.422100+00:00","updated_at":"2026-05-18T01:21:15.422100+00:00"}