{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:XNPPJ66QDQ4GQ66BMJ4UPQ3NW6","short_pith_number":"pith:XNPPJ66Q","schema_version":"1.0","canonical_sha256":"bb5ef4fbd01c38687bc1627947c36db7bbc809d9a944f632a4974ddd1babe060","source":{"kind":"arxiv","id":"hep-th/0002109","version":3},"attestation_state":"computed","paper":{"title":"Promoting finite to infinite symmetries: the 3+1-dimensional analogue of the Virasoro algebra and higher-spin fields","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"M. Calixto","submitted_at":"2000-02-14T12:14:06Z","abstract_excerpt":"Infinite enlargements of finite pseudo-unitary symmetries are explicitly provided in this letter. The particular case of u(2,2)=so(4,2)+u(1) constitutes a (Virasoro-like) infinite-dimensional generalization of the 3+1-dimensional conformal symmetry, in addition to matter fields with all conformal spins. These algebras provide a new arena for integrable field models in higher dimensions; for example, Anti-de Sitter and conformal gauge theories of higher-so(4,2)-spin fields. A proposal for a non-commutative geometrical interpretation of space is also outlined."},"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/0002109","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-02-14T12:14:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"095e5bde8a46faef0b6169b13914baf701fcd106c6fd47ceffa11df093e8341c","abstract_canon_sha256":"b3e01743b2084e9d66112392e5a34ee760908829f61e266f7c59af829ba8cd83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:21.216473Z","signature_b64":"QigPLKAIStOohOAfKQcwCpdVPZJGnwJiCpK43JJX+4jXmLGap3W3qEN/ERm/qPXV5Dr9Z7U+xT1kvfXVVEC2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb5ef4fbd01c38687bc1627947c36db7bbc809d9a944f632a4974ddd1babe060","last_reissued_at":"2026-05-18T00:54:21.216039Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:21.216039Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Promoting finite to infinite symmetries: the 3+1-dimensional analogue of the Virasoro algebra and higher-spin fields","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"M. Calixto","submitted_at":"2000-02-14T12:14:06Z","abstract_excerpt":"Infinite enlargements of finite pseudo-unitary symmetries are explicitly provided in this letter. The particular case of u(2,2)=so(4,2)+u(1) constitutes a (Virasoro-like) infinite-dimensional generalization of the 3+1-dimensional conformal symmetry, in addition to matter fields with all conformal spins. These algebras provide a new arena for integrable field models in higher dimensions; for example, Anti-de Sitter and conformal gauge theories of higher-so(4,2)-spin fields. A proposal for a non-commutative geometrical interpretation of space is also outlined."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0002109","kind":"arxiv","version":3},"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":"hep-th/0002109","created_at":"2026-05-18T00:54:21.216100+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0002109v3","created_at":"2026-05-18T00:54:21.216100+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0002109","created_at":"2026-05-18T00:54:21.216100+00:00"},{"alias_kind":"pith_short_12","alias_value":"XNPPJ66QDQ4G","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"XNPPJ66QDQ4GQ66B","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"XNPPJ66Q","created_at":"2026-05-18T12:25:50.254431+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/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6","json":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6.json","graph_json":"https://pith.science/api/pith-number/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/graph.json","events_json":"https://pith.science/api/pith-number/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/events.json","paper":"https://pith.science/paper/XNPPJ66Q"},"agent_actions":{"view_html":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6","download_json":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6.json","view_paper":"https://pith.science/paper/XNPPJ66Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0002109&json=true","fetch_graph":"https://pith.science/api/pith-number/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/graph.json","fetch_events":"https://pith.science/api/pith-number/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/action/storage_attestation","attest_author":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/action/author_attestation","sign_citation":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/action/citation_signature","submit_replication":"https://pith.science/pith/XNPPJ66QDQ4GQ66BMJ4UPQ3NW6/action/replication_record"}},"created_at":"2026-05-18T00:54:21.216100+00:00","updated_at":"2026-05-18T00:54:21.216100+00:00"}