{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:DMQN4OA4WRZRSS5G5LQT36AMLN","short_pith_number":"pith:DMQN4OA4","schema_version":"1.0","canonical_sha256":"1b20de381cb473194ba6eae13df80c5b51d9fa7d698dfd16c4bbe6e21d7a4ed9","source":{"kind":"arxiv","id":"0909.4299","version":4},"attestation_state":"computed","paper":{"title":"Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Axel Kleinschmidt, Bengt E. W. Nilsson, Boris Pioline, Daniel Persson, Ling Bao","submitted_at":"2009-09-24T15:38:43Z","abstract_excerpt":"The hypermultiplet moduli space in Type IIA string theory compactified on a rigid Calabi-Yau threefold X, corresponding to the \"universal hypermultiplet\", is described at tree-level by the symmetric space SU(2,1)/(SU(2) x U(1)). To determine the quantum corrections to this metric, we posit that a discrete subgroup of the continuous tree-level isometry group SU(2,1), namely the Picard modular group SU(2,1;Z[i]), must remain unbroken in the exact metric -- including all perturbative and non perturbative quantum corrections. This assumption is expected to be valid when X admits complex multiplica"},"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":"0909.4299","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-09-24T15:38:43Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"15d98b64d2d20834c620b07631c4047a6587fac0a569743077813d243ed5d443","abstract_canon_sha256":"d90bc3b4f327a19fa4e9be11cf67fef3499ef64502143c71a7299ccb06ff5091"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:27.921333Z","signature_b64":"jUxMNVjhBrBqK97RX3rCfKeXkL7UUE5Xl6tWxnwTVCXYYNItPkADvjTBcjPtmVkd733SzvSCRGylE7jJTW3hAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b20de381cb473194ba6eae13df80c5b51d9fa7d698dfd16c4bbe6e21d7a4ed9","last_reissued_at":"2026-05-18T02:34:27.920759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:27.920759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Instanton Corrections to the Universal Hypermultiplet and Automorphic Forms on SU(2,1)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Axel Kleinschmidt, Bengt E. W. Nilsson, Boris Pioline, Daniel Persson, Ling Bao","submitted_at":"2009-09-24T15:38:43Z","abstract_excerpt":"The hypermultiplet moduli space in Type IIA string theory compactified on a rigid Calabi-Yau threefold X, corresponding to the \"universal hypermultiplet\", is described at tree-level by the symmetric space SU(2,1)/(SU(2) x U(1)). To determine the quantum corrections to this metric, we posit that a discrete subgroup of the continuous tree-level isometry group SU(2,1), namely the Picard modular group SU(2,1;Z[i]), must remain unbroken in the exact metric -- including all perturbative and non perturbative quantum corrections. This assumption is expected to be valid when X admits complex multiplica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4299","kind":"arxiv","version":4},"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":"0909.4299","created_at":"2026-05-18T02:34:27.920837+00:00"},{"alias_kind":"arxiv_version","alias_value":"0909.4299v4","created_at":"2026-05-18T02:34:27.920837+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4299","created_at":"2026-05-18T02:34:27.920837+00:00"},{"alias_kind":"pith_short_12","alias_value":"DMQN4OA4WRZR","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_16","alias_value":"DMQN4OA4WRZRSS5G","created_at":"2026-05-18T12:25:59.703012+00:00"},{"alias_kind":"pith_short_8","alias_value":"DMQN4OA4","created_at":"2026-05-18T12:25:59.703012+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.08296","citing_title":"Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups","ref_index":3,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN","json":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN.json","graph_json":"https://pith.science/api/pith-number/DMQN4OA4WRZRSS5G5LQT36AMLN/graph.json","events_json":"https://pith.science/api/pith-number/DMQN4OA4WRZRSS5G5LQT36AMLN/events.json","paper":"https://pith.science/paper/DMQN4OA4"},"agent_actions":{"view_html":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN","download_json":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN.json","view_paper":"https://pith.science/paper/DMQN4OA4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0909.4299&json=true","fetch_graph":"https://pith.science/api/pith-number/DMQN4OA4WRZRSS5G5LQT36AMLN/graph.json","fetch_events":"https://pith.science/api/pith-number/DMQN4OA4WRZRSS5G5LQT36AMLN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN/action/storage_attestation","attest_author":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN/action/author_attestation","sign_citation":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN/action/citation_signature","submit_replication":"https://pith.science/pith/DMQN4OA4WRZRSS5G5LQT36AMLN/action/replication_record"}},"created_at":"2026-05-18T02:34:27.920837+00:00","updated_at":"2026-05-18T02:34:27.920837+00:00"}