{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:X7RLDXIRDX6D4C3GMNCCU34C2W","short_pith_number":"pith:X7RLDXIR","schema_version":"1.0","canonical_sha256":"bfe2b1dd111dfc3e0b6663442a6f82d5a63cdcf3bc31d0f565dfdac119cc727a","source":{"kind":"arxiv","id":"1206.2920","version":2},"attestation_state":"computed","paper":{"title":"Large N Free Energy of 3d N=4 SCFTs and AdS/CFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benjamin Assel, John Estes, Masahito Yamazaki","submitted_at":"2012-06-13T20:00:00Z","abstract_excerpt":"We provide a non-trivial check of the AdS_4/CFT_3 correspondence recently proposed in arXiv:1106.4253 by verifying the GKPW relation in the large N limit. The CFT free energy is obtained from the previous works (arXiv:1105.2551, arXiv:1105.4390) on the S^3 partition function for 3-dimensional N=4 SCFT T[SU(N)]. This is matched with the computation of the type IIB action on the corresponding gravity background. We unexpectedly find that the leading behavior of the free energy at large N is 1/2 N^2 ln N. We also extend our results to richer theories and argue that 1/2 N^2 ln N is the maximal fre"},"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":"1206.2920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-06-13T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"4b2d66d1ad5b2ee0dd066cc092cff201596c1ec2877374e1a7a2ac37155fcb63","abstract_canon_sha256":"e602d91ca2c2eca90001e78f96674a97bb1c4eab1f4db4ae251544a125863807"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:44:35.808379Z","signature_b64":"X3Hnc3FB9OC/kfKDB3CXP6n4EOY/LoJCVuUin/Etj3V0yIzYDxX5RaGrMsU8ypWeQGT1kdhazc6j/rz39yQmDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfe2b1dd111dfc3e0b6663442a6f82d5a63cdcf3bc31d0f565dfdac119cc727a","last_reissued_at":"2026-05-18T03:44:35.807700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:44:35.807700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large N Free Energy of 3d N=4 SCFTs and AdS/CFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benjamin Assel, John Estes, Masahito Yamazaki","submitted_at":"2012-06-13T20:00:00Z","abstract_excerpt":"We provide a non-trivial check of the AdS_4/CFT_3 correspondence recently proposed in arXiv:1106.4253 by verifying the GKPW relation in the large N limit. The CFT free energy is obtained from the previous works (arXiv:1105.2551, arXiv:1105.4390) on the S^3 partition function for 3-dimensional N=4 SCFT T[SU(N)]. This is matched with the computation of the type IIB action on the corresponding gravity background. We unexpectedly find that the leading behavior of the free energy at large N is 1/2 N^2 ln N. We also extend our results to richer theories and argue that 1/2 N^2 ln N is the maximal fre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2920","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":"1206.2920","created_at":"2026-05-18T03:44:35.807816+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.2920v2","created_at":"2026-05-18T03:44:35.807816+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2920","created_at":"2026-05-18T03:44:35.807816+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7RLDXIRDX6D","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7RLDXIRDX6D4C3G","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7RLDXIR","created_at":"2026-05-18T12:27:27.928770+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/X7RLDXIRDX6D4C3GMNCCU34C2W","json":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W.json","graph_json":"https://pith.science/api/pith-number/X7RLDXIRDX6D4C3GMNCCU34C2W/graph.json","events_json":"https://pith.science/api/pith-number/X7RLDXIRDX6D4C3GMNCCU34C2W/events.json","paper":"https://pith.science/paper/X7RLDXIR"},"agent_actions":{"view_html":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W","download_json":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W.json","view_paper":"https://pith.science/paper/X7RLDXIR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.2920&json=true","fetch_graph":"https://pith.science/api/pith-number/X7RLDXIRDX6D4C3GMNCCU34C2W/graph.json","fetch_events":"https://pith.science/api/pith-number/X7RLDXIRDX6D4C3GMNCCU34C2W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W/action/storage_attestation","attest_author":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W/action/author_attestation","sign_citation":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W/action/citation_signature","submit_replication":"https://pith.science/pith/X7RLDXIRDX6D4C3GMNCCU34C2W/action/replication_record"}},"created_at":"2026-05-18T03:44:35.807816+00:00","updated_at":"2026-05-18T03:44:35.807816+00:00"}