{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QCDTNKDHIUVL3RFC7DGXZQHNAT","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":"33047e528fa3bcb2be1e269e0f9666459b907a8d8c2125735862c7849d152bfa","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-12T19:38:38Z","title_canon_sha256":"76a32740883ec904c1a3e859a8b0bb2a777052ee7d06385f4ac371e6dfbfae8f"},"schema_version":"1.0","source":{"id":"0901.1646","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1646","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1646v2","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1646","created_at":"2026-05-18T02:35:08Z"},{"alias_kind":"pith_short_12","alias_value":"QCDTNKDHIUVL","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QCDTNKDHIUVL3RFC","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QCDTNKDH","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:a49171a5cfab783c09468c3ccbaf7b4a8830f38f46b0d15a454d87e3fbf0ecaa","target":"graph","created_at":"2026-05-18T02:35:08Z","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":"After reviewing the algebraic structures that underlie the geometries of N=2 Maxwell-Einstein supergravity theories (MESGT) in five and four dimensions with symmetric scalar manifolds, we give a unified realization of their three dimensional U-duality groups as spectrum generating quasiconformal groups. They are F_{4(4)}, E_{6(2)}, E_{7(-5)}, E_{8(-24)} and SO(n+2,4). Our formulation is covariant with respect to U-duality symmetry groups of corresponding five dimensional supergravity theories, which are SL(3,R), SL(3,C), SU*(6), E_{6(6)} and SO(n-1,1)X SO(1,1), respectively. We determine the s","authors_text":"Murat Gunaydin, Oleksandr Pavlyk","cross_cats":["gr-qc","math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-12T19:38:38Z","title":"Spectrum Generating Conformal and Quasiconformal U-Duality Groups, Supergravity and Spherical Vectors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1646","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:f71ee4253177d96308be6e6911b134bfd07907a12c2faaf88a66df91b0dc1e49","target":"record","created_at":"2026-05-18T02:35:08Z","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":"33047e528fa3bcb2be1e269e0f9666459b907a8d8c2125735862c7849d152bfa","cross_cats_sorted":["gr-qc","math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-12T19:38:38Z","title_canon_sha256":"76a32740883ec904c1a3e859a8b0bb2a777052ee7d06385f4ac371e6dfbfae8f"},"schema_version":"1.0","source":{"id":"0901.1646","kind":"arxiv","version":2}},"canonical_sha256":"808736a867452abdc4a2f8cd7cc0ed04eeedfa75adeb4c44fa8a2c59ef7ca893","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"808736a867452abdc4a2f8cd7cc0ed04eeedfa75adeb4c44fa8a2c59ef7ca893","first_computed_at":"2026-05-18T02:35:08.249371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:08.249371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zkj1Kze3hlzc1QGmJXZFvo01AC4w+J1ix6Zxx1Pvuft9J+x4yaUYGmfGlBczYpSa41GOLNB4AxO3daMCfGf1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:08.249765Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1646","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f71ee4253177d96308be6e6911b134bfd07907a12c2faaf88a66df91b0dc1e49","sha256:a49171a5cfab783c09468c3ccbaf7b4a8830f38f46b0d15a454d87e3fbf0ecaa"],"state_sha256":"811c168df66610396edd01e24fb91deed068e09f9b5b1237c41a1aad62c6df92"}