{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QTFK7CXEOXENFP75NI6X2Q7QKD","short_pith_number":"pith:QTFK7CXE","schema_version":"1.0","canonical_sha256":"84caaf8ae475c8d2bffd6a3d7d43f050dcdd0346ca83d7bd874cc42ff900edb3","source":{"kind":"arxiv","id":"1204.3043","version":2},"attestation_state":"computed","paper":{"title":"Eisenstein series for infinite-dimensional U-duality groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Axel Kleinschmidt, Philipp Fleig","submitted_at":"2012-04-13T16:35:53Z","abstract_excerpt":"We consider Eisenstein series appearing as coefficients of curvature corrections in the low-energy expansion of type II string theory four-graviton scattering amplitudes. We define these Eisenstein series over all groups in the E_n series of string duality groups, and in particular for the infinite-dimensional Kac-Moody groups E9, E10 and E11. We show that, remarkably, the so-called constant term of Kac-Moody-Eisenstein series contains only a finite number of terms for particular choices of a parameter appearing in the definition of the series. This resonates with the idea that the constant te"},"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":"1204.3043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-13T16:35:53Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"0f01127b6a7b41ab48df84fceeed4f6c4051bae90612c69375414a3f7fe2e333","abstract_canon_sha256":"ff5049ef4208af68d5f57688942e3c5cfaf8878735190ba367d019210253deaa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:52.661793Z","signature_b64":"7eE236E3BHVyGTqCx0nuUKBkIFwf4m7oX1KrLmwOh+8kTZozphEWE8zwVvvfi/O+OBVu7p6i+ae6b0GWrxLDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84caaf8ae475c8d2bffd6a3d7d43f050dcdd0346ca83d7bd874cc42ff900edb3","last_reissued_at":"2026-05-18T01:57:52.661139Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:52.661139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eisenstein series for infinite-dimensional U-duality groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"hep-th","authors_text":"Axel Kleinschmidt, Philipp Fleig","submitted_at":"2012-04-13T16:35:53Z","abstract_excerpt":"We consider Eisenstein series appearing as coefficients of curvature corrections in the low-energy expansion of type II string theory four-graviton scattering amplitudes. We define these Eisenstein series over all groups in the E_n series of string duality groups, and in particular for the infinite-dimensional Kac-Moody groups E9, E10 and E11. We show that, remarkably, the so-called constant term of Kac-Moody-Eisenstein series contains only a finite number of terms for particular choices of a parameter appearing in the definition of the series. This resonates with the idea that the constant te"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3043","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":"1204.3043","created_at":"2026-05-18T01:57:52.661234+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.3043v2","created_at":"2026-05-18T01:57:52.661234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3043","created_at":"2026-05-18T01:57:52.661234+00:00"},{"alias_kind":"pith_short_12","alias_value":"QTFK7CXEOXEN","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QTFK7CXEOXENFP75","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QTFK7CXE","created_at":"2026-05-18T12:27:18.751474+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/QTFK7CXEOXENFP75NI6X2Q7QKD","json":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD.json","graph_json":"https://pith.science/api/pith-number/QTFK7CXEOXENFP75NI6X2Q7QKD/graph.json","events_json":"https://pith.science/api/pith-number/QTFK7CXEOXENFP75NI6X2Q7QKD/events.json","paper":"https://pith.science/paper/QTFK7CXE"},"agent_actions":{"view_html":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD","download_json":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD.json","view_paper":"https://pith.science/paper/QTFK7CXE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.3043&json=true","fetch_graph":"https://pith.science/api/pith-number/QTFK7CXEOXENFP75NI6X2Q7QKD/graph.json","fetch_events":"https://pith.science/api/pith-number/QTFK7CXEOXENFP75NI6X2Q7QKD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD/action/storage_attestation","attest_author":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD/action/author_attestation","sign_citation":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD/action/citation_signature","submit_replication":"https://pith.science/pith/QTFK7CXEOXENFP75NI6X2Q7QKD/action/replication_record"}},"created_at":"2026-05-18T01:57:52.661234+00:00","updated_at":"2026-05-18T01:57:52.661234+00:00"}