{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:GUQ2BFSLQNKOMWDUWN2PKQFK4Z","short_pith_number":"pith:GUQ2BFSL","schema_version":"1.0","canonical_sha256":"3521a0964b8354e65874b374f540aae670ba2dd1b9034ded39888ee4a2bf9555","source":{"kind":"arxiv","id":"1609.02558","version":3},"attestation_state":"computed","paper":{"title":"One-loop supergravity on $\\mathrm{AdS}_4\\times S^7/\\mathbb{Z}_k$ and comparison with ABJM theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"James T. Liu, Wenli Zhao","submitted_at":"2016-09-08T20:00:01Z","abstract_excerpt":"The large-$N$ limit of ABJM theory is holographically dual to M-theory on AdS$_4\\times S^7/\\mathbb{Z}_k$. The 3-sphere partition function has been obtained via localization, and its leading behavior $F_{\\text{ABJM}}^{(0)}\\sim k^{1/2}N^{3/2}$ is exactly reproduced in the dual theory by tree-level supergravity. We extend this comparison to the sub-leading $\\mathcal O(N^0)$ order by computing the one-loop supergravity free energy as a function of $k$ and comparing it with the ABJM result. Curiously, we find that the expressions do not match, with $F_{\\text{SUGRA}}^{(1)}\\sim k^6$, while $F_{\\text{"},"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":"1609.02558","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-08T20:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"c64e2bd1988e0b74e5f11d2676fe6546e39f7dfa1a3945e4f2335127a71739cd","abstract_canon_sha256":"803f4781651609af837c3992e12e9d32499e057d31478fd0fd2af027380ec196"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:29.912447Z","signature_b64":"JFrj+TOu8bKx6vkKrhVfU9t2ZAi5Y0BBAvN2jplserNx49ur8aEcJnGEThT/zZsgKKYRINO6Y5gbCD8N1QOzDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3521a0964b8354e65874b374f540aae670ba2dd1b9034ded39888ee4a2bf9555","last_reissued_at":"2026-05-18T00:54:29.911670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:29.911670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-loop supergravity on $\\mathrm{AdS}_4\\times S^7/\\mathbb{Z}_k$ and comparison with ABJM theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"James T. Liu, Wenli Zhao","submitted_at":"2016-09-08T20:00:01Z","abstract_excerpt":"The large-$N$ limit of ABJM theory is holographically dual to M-theory on AdS$_4\\times S^7/\\mathbb{Z}_k$. The 3-sphere partition function has been obtained via localization, and its leading behavior $F_{\\text{ABJM}}^{(0)}\\sim k^{1/2}N^{3/2}$ is exactly reproduced in the dual theory by tree-level supergravity. We extend this comparison to the sub-leading $\\mathcal O(N^0)$ order by computing the one-loop supergravity free energy as a function of $k$ and comparing it with the ABJM result. Curiously, we find that the expressions do not match, with $F_{\\text{SUGRA}}^{(1)}\\sim k^6$, while $F_{\\text{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.02558","kind":"arxiv","version":3},"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":"1609.02558","created_at":"2026-05-18T00:54:29.911815+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.02558v3","created_at":"2026-05-18T00:54:29.911815+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.02558","created_at":"2026-05-18T00:54:29.911815+00:00"},{"alias_kind":"pith_short_12","alias_value":"GUQ2BFSLQNKO","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"GUQ2BFSLQNKOMWDU","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"GUQ2BFSL","created_at":"2026-05-18T12:30:19.053100+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/GUQ2BFSLQNKOMWDUWN2PKQFK4Z","json":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z.json","graph_json":"https://pith.science/api/pith-number/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/graph.json","events_json":"https://pith.science/api/pith-number/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/events.json","paper":"https://pith.science/paper/GUQ2BFSL"},"agent_actions":{"view_html":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z","download_json":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z.json","view_paper":"https://pith.science/paper/GUQ2BFSL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.02558&json=true","fetch_graph":"https://pith.science/api/pith-number/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/graph.json","fetch_events":"https://pith.science/api/pith-number/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/action/storage_attestation","attest_author":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/action/author_attestation","sign_citation":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/action/citation_signature","submit_replication":"https://pith.science/pith/GUQ2BFSLQNKOMWDUWN2PKQFK4Z/action/replication_record"}},"created_at":"2026-05-18T00:54:29.911815+00:00","updated_at":"2026-05-18T00:54:29.911815+00:00"}