{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1991:VDGO65ADLY73GZJ7VPL6XT5KS5","short_pith_number":"pith:VDGO65AD","schema_version":"1.0","canonical_sha256":"a8ccef74035e3fb3653fabd7ebcfaa977ef12b531f47f19495c615f790d6bca3","source":{"kind":"arxiv","id":"hep-th/9108018","version":1},"attestation_state":"computed","paper":{"title":"Real Forms of Complex Quantum Anti de Sitter Algebra $U_q (Sp(4,C))$ and their Contraction Schemes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Novicki, H. Ruegg, J. Lukierski","submitted_at":"1991-08-23T14:16:00Z","abstract_excerpt":"We describe four types of inner involutions of the Cartan-Weyl basis providing (for $ |q|=1$ and $q$ real) three types of real quantum Lie algebras: $U_{q}(O(3,2))$ (quantum D=4 anti-de-Sitter), $U_{q}(O(4,1))$ (quantum D=4 de-Sitter) and $U_{q}(O(5))$. We give also two types of inner involutions of the Cartan-Chevalley basis of $U_{q}(Sp(4;C))$ which can not be extended to inner involutions of the Cartan-Weyl basis. We outline twelve contraction schemes for quantum D=4 anti-de-Sitter algebra. All these contractions provide four commuting translation generators, but only two (one for $ |q|=1$,"},"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":"hep-th/9108018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1991-08-23T14:16:00Z","cross_cats_sorted":[],"title_canon_sha256":"aa5269830a79a0f508fab86387798030e81d4d6710d4630bf637ebc9e0e84a77","abstract_canon_sha256":"16e2f7daa8418e082e2be7cfb18f363c603d93c4d297b0e5154fdb2bb3b5b8d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:54:58.680611Z","signature_b64":"WVNkEmP4Vdg+/3QBKG/8tQEJABKFFf9qQ/rgxoQidFfA/V5hXWX62DmPz6tJn/pm912ab3DB0NA7hd/V/EmcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8ccef74035e3fb3653fabd7ebcfaa977ef12b531f47f19495c615f790d6bca3","last_reissued_at":"2026-07-04T15:54:58.680195Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:54:58.680195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Real Forms of Complex Quantum Anti de Sitter Algebra $U_q (Sp(4,C))$ and their Contraction Schemes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Novicki, H. Ruegg, J. Lukierski","submitted_at":"1991-08-23T14:16:00Z","abstract_excerpt":"We describe four types of inner involutions of the Cartan-Weyl basis providing (for $ |q|=1$ and $q$ real) three types of real quantum Lie algebras: $U_{q}(O(3,2))$ (quantum D=4 anti-de-Sitter), $U_{q}(O(4,1))$ (quantum D=4 de-Sitter) and $U_{q}(O(5))$. We give also two types of inner involutions of the Cartan-Chevalley basis of $U_{q}(Sp(4;C))$ which can not be extended to inner involutions of the Cartan-Weyl basis. We outline twelve contraction schemes for quantum D=4 anti-de-Sitter algebra. All these contractions provide four commuting translation generators, but only two (one for $ |q|=1$,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9108018","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9108018/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"hep-th/9108018","created_at":"2026-07-04T15:54:58.680248+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9108018v1","created_at":"2026-07-04T15:54:58.680248+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9108018","created_at":"2026-07-04T15:54:58.680248+00:00"},{"alias_kind":"pith_short_12","alias_value":"VDGO65ADLY73","created_at":"2026-07-04T15:54:58.680248+00:00"},{"alias_kind":"pith_short_16","alias_value":"VDGO65ADLY73GZJ7","created_at":"2026-07-04T15:54:58.680248+00:00"},{"alias_kind":"pith_short_8","alias_value":"VDGO65AD","created_at":"2026-07-04T15:54:58.680248+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.01058","citing_title":"Universal $T$-matrices for quantum Poincar\\'e groups: contractions and quantum reference frames","ref_index":79,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5","json":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5.json","graph_json":"https://pith.science/api/pith-number/VDGO65ADLY73GZJ7VPL6XT5KS5/graph.json","events_json":"https://pith.science/api/pith-number/VDGO65ADLY73GZJ7VPL6XT5KS5/events.json","paper":"https://pith.science/paper/VDGO65AD"},"agent_actions":{"view_html":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5","download_json":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5.json","view_paper":"https://pith.science/paper/VDGO65AD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9108018&json=true","fetch_graph":"https://pith.science/api/pith-number/VDGO65ADLY73GZJ7VPL6XT5KS5/graph.json","fetch_events":"https://pith.science/api/pith-number/VDGO65ADLY73GZJ7VPL6XT5KS5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5/action/storage_attestation","attest_author":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5/action/author_attestation","sign_citation":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5/action/citation_signature","submit_replication":"https://pith.science/pith/VDGO65ADLY73GZJ7VPL6XT5KS5/action/replication_record"}},"created_at":"2026-07-04T15:54:58.680248+00:00","updated_at":"2026-07-04T15:54:58.680248+00:00"}