{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:PUVY2KGYH5SKZMKZOJ2X4SWMFS","short_pith_number":"pith:PUVY2KGY","schema_version":"1.0","canonical_sha256":"7d2b8d28d83f64acb15972757e4acc2cb7bc7e47851c9ac59b9aa1ed3af8b0a7","source":{"kind":"arxiv","id":"1004.0163","version":4},"attestation_state":"computed","paper":{"title":"Eisenstein series for higher-rank groups and string theory amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT","math.SP"],"primary_cat":"hep-th","authors_text":"Jorge G. Russo, Michael B. Green, Pierre Vanhove, Stephen D. Miller","submitted_at":"2010-04-01T15:52:11Z","abstract_excerpt":"Scattering amplitudes of superstring theory are strongly constrained by the requirement that they be invariant under dualities generated by discrete subgroups, E_n(Z), of simply-laced Lie groups in the E_n series (n<= 8). In particular, expanding the four-supergraviton amplitude at low energy gives a series of higher derivative corrections to Einstein's theory, with coefficients that are automorphic functions with a rich dependence on the moduli. Boundary conditions supplied by string and supergravity perturbation theory, together with a chain of relations between successive groups in the E_n "},"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":"1004.0163","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-01T15:52:11Z","cross_cats_sorted":["math-ph","math.MP","math.NT","math.SP"],"title_canon_sha256":"0980017abce2bb4f24c50ad3ed4914bca8d6d7ec54a56a8543883e5c78366783","abstract_canon_sha256":"1ac28585a1f7ee35c93f27838326f2cbbfe4b9fc118aded251087b4adc597eb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:18.162468Z","signature_b64":"WKPxvJ6IiK08yGpMKaZftYXpmS35q5q4xv8m0UrCyZBCJpD+JuWuqCJ4og9XGOpvKe8Zsd+BIcAIhPntU191BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d2b8d28d83f64acb15972757e4acc2cb7bc7e47851c9ac59b9aa1ed3af8b0a7","last_reissued_at":"2026-05-18T02:24:18.161710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:18.161710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eisenstein series for higher-rank groups and string theory amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT","math.SP"],"primary_cat":"hep-th","authors_text":"Jorge G. Russo, Michael B. Green, Pierre Vanhove, Stephen D. Miller","submitted_at":"2010-04-01T15:52:11Z","abstract_excerpt":"Scattering amplitudes of superstring theory are strongly constrained by the requirement that they be invariant under dualities generated by discrete subgroups, E_n(Z), of simply-laced Lie groups in the E_n series (n<= 8). In particular, expanding the four-supergraviton amplitude at low energy gives a series of higher derivative corrections to Einstein's theory, with coefficients that are automorphic functions with a rich dependence on the moduli. Boundary conditions supplied by string and supergravity perturbation theory, together with a chain of relations between successive groups in the E_n "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0163","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":"1004.0163","created_at":"2026-05-18T02:24:18.161838+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.0163v4","created_at":"2026-05-18T02:24:18.161838+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0163","created_at":"2026-05-18T02:24:18.161838+00:00"},{"alias_kind":"pith_short_12","alias_value":"PUVY2KGYH5SK","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_16","alias_value":"PUVY2KGYH5SKZMKZ","created_at":"2026-05-18T12:26:12.377268+00:00"},{"alias_kind":"pith_short_8","alias_value":"PUVY2KGY","created_at":"2026-05-18T12:26:12.377268+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.27835","citing_title":"Some Properties and Uses of the Species Scale","ref_index":12,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS","json":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS.json","graph_json":"https://pith.science/api/pith-number/PUVY2KGYH5SKZMKZOJ2X4SWMFS/graph.json","events_json":"https://pith.science/api/pith-number/PUVY2KGYH5SKZMKZOJ2X4SWMFS/events.json","paper":"https://pith.science/paper/PUVY2KGY"},"agent_actions":{"view_html":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS","download_json":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS.json","view_paper":"https://pith.science/paper/PUVY2KGY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.0163&json=true","fetch_graph":"https://pith.science/api/pith-number/PUVY2KGYH5SKZMKZOJ2X4SWMFS/graph.json","fetch_events":"https://pith.science/api/pith-number/PUVY2KGYH5SKZMKZOJ2X4SWMFS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS/action/storage_attestation","attest_author":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS/action/author_attestation","sign_citation":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS/action/citation_signature","submit_replication":"https://pith.science/pith/PUVY2KGYH5SKZMKZOJ2X4SWMFS/action/replication_record"}},"created_at":"2026-05-18T02:24:18.161838+00:00","updated_at":"2026-05-18T02:24:18.161838+00:00"}