{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CVZSJO7CIPDAIRM3PJHZEHCNQ6","short_pith_number":"pith:CVZSJO7C","schema_version":"1.0","canonical_sha256":"157324bbe243c604459b7a4f921c4d87abb8710eb6062ae0178e06979e14ab53","source":{"kind":"arxiv","id":"1309.2498","version":2},"attestation_state":"computed","paper":{"title":"The Ultraviolet Properties of N=4 Supergravity at Four Loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander V. Smirnov, Scott Davies, Tristan Dennen, Vladimir A. Smirnov, Zvi Bern","submitted_at":"2013-09-10T13:16:44Z","abstract_excerpt":"We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of the theory. This is the first known example of an ultraviolet divergence in a pure ungauged supergravity theory in four dimensions. We use the duality between color and kinematics to construct the integrand of the four-loop four-point amplitude, whose ultraviolet divergence is then extracted by standard integration techniques."},"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":"1309.2498","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-10T13:16:44Z","cross_cats_sorted":[],"title_canon_sha256":"548d40086c190d3d09a850ef944b97dce180202bf559e0f58d4001b45f26c015","abstract_canon_sha256":"6e34628c065b6ad5220a31411b02c224ef2becf34daa654963f222fe892615ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:48.571068Z","signature_b64":"GeZG+2WbuJuBxZkOcN7PDQHhDVhJrJOooRzOOhqvxLTgfAcYgNi7bMRMFTSOXxC4rgCWFVs/8cFUeDHFGa84Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"157324bbe243c604459b7a4f921c4d87abb8710eb6062ae0178e06979e14ab53","last_reissued_at":"2026-05-18T03:04:48.570393Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:48.570393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Ultraviolet Properties of N=4 Supergravity at Four Loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander V. Smirnov, Scott Davies, Tristan Dennen, Vladimir A. Smirnov, Zvi Bern","submitted_at":"2013-09-10T13:16:44Z","abstract_excerpt":"We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of the theory. This is the first known example of an ultraviolet divergence in a pure ungauged supergravity theory in four dimensions. We use the duality between color and kinematics to construct the integrand of the four-loop four-point amplitude, whose ultraviolet divergence is then extracted by standard integration techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2498","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":"1309.2498","created_at":"2026-05-18T03:04:48.570495+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.2498v2","created_at":"2026-05-18T03:04:48.570495+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2498","created_at":"2026-05-18T03:04:48.570495+00:00"},{"alias_kind":"pith_short_12","alias_value":"CVZSJO7CIPDA","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CVZSJO7CIPDAIRM3","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CVZSJO7C","created_at":"2026-05-18T12:27:40.988391+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.01328","citing_title":"On anomaly free 4d $\\mathcal{N}$=4 and 6d (2,0) conformal supergravities and UV finiteness of Poincar\\'e supergravities","ref_index":18,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6","json":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6.json","graph_json":"https://pith.science/api/pith-number/CVZSJO7CIPDAIRM3PJHZEHCNQ6/graph.json","events_json":"https://pith.science/api/pith-number/CVZSJO7CIPDAIRM3PJHZEHCNQ6/events.json","paper":"https://pith.science/paper/CVZSJO7C"},"agent_actions":{"view_html":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6","download_json":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6.json","view_paper":"https://pith.science/paper/CVZSJO7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.2498&json=true","fetch_graph":"https://pith.science/api/pith-number/CVZSJO7CIPDAIRM3PJHZEHCNQ6/graph.json","fetch_events":"https://pith.science/api/pith-number/CVZSJO7CIPDAIRM3PJHZEHCNQ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6/action/storage_attestation","attest_author":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6/action/author_attestation","sign_citation":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6/action/citation_signature","submit_replication":"https://pith.science/pith/CVZSJO7CIPDAIRM3PJHZEHCNQ6/action/replication_record"}},"created_at":"2026-05-18T03:04:48.570495+00:00","updated_at":"2026-05-18T03:04:48.570495+00:00"}