{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:NTFMASH4TCB4J4IHL7QL3ART7J","short_pith_number":"pith:NTFMASH4","schema_version":"1.0","canonical_sha256":"6ccac048fc9883c4f1075fe0bd8233fa4df750a372e58d2b16e86a192678c70c","source":{"kind":"arxiv","id":"hep-th/0210114","version":4},"attestation_state":"computed","paper":{"title":"AdS Dual of the Critical O(N) Vector Model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.M. Polyakov, I.R. Klebanov","submitted_at":"2002-10-11T19:18:05Z","abstract_excerpt":"We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in $AdS_{d+1}$ and large $N$ conformal theories in $d$ dimensions containing $N$-component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O(N) model with the $(\\phi^a \\phi^a)^2$ interaction is dual, in the large $N$ limit, to the minimal bosonic theory in $AdS_4$ containing massless gauge fields of even spin."},"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":"hep-th/0210114","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-10-11T19:18:05Z","cross_cats_sorted":[],"title_canon_sha256":"6c6852eb5a14f6e6ec9a489ab9ec54b7d7dfde09b5817353f647c9a30ed2e7ef","abstract_canon_sha256":"1965e9645911bd372b70a9ef85ec138e93019712bcd2dccc1fc67d123930bbaf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:55.777861Z","signature_b64":"65VXCmbr0KnHeVkTzFYAu3GEPhjN5++8wF/X4ME07pcZTOPQQ+NZ+zpsTZvPQy+UhBg6SmAdv+uzIgtac/pvBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ccac048fc9883c4f1075fe0bd8233fa4df750a372e58d2b16e86a192678c70c","last_reissued_at":"2026-07-04T16:34:55.777445Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:55.777445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"AdS Dual of the Critical O(N) Vector Model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.M. Polyakov, I.R. Klebanov","submitted_at":"2002-10-11T19:18:05Z","abstract_excerpt":"We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in $AdS_{d+1}$ and large $N$ conformal theories in $d$ dimensions containing $N$-component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O(N) model with the $(\\phi^a \\phi^a)^2$ interaction is dual, in the large $N$ limit, to the minimal bosonic theory in $AdS_4$ containing massless gauge fields of even spin."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0210114","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0210114/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"hep-th/0210114","created_at":"2026-07-04T16:34:55.777509+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0210114v4","created_at":"2026-07-04T16:34:55.777509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0210114","created_at":"2026-07-04T16:34:55.777509+00:00"},{"alias_kind":"pith_short_12","alias_value":"NTFMASH4TCB4","created_at":"2026-07-04T16:34:55.777509+00:00"},{"alias_kind":"pith_short_16","alias_value":"NTFMASH4TCB4J4IH","created_at":"2026-07-04T16:34:55.777509+00:00"},{"alias_kind":"pith_short_8","alias_value":"NTFMASH4","created_at":"2026-07-04T16:34:55.777509+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":17,"internal_anchor_count":15,"sample":[{"citing_arxiv_id":"2607.06286","citing_title":"Determination of thermodynamics from entanglement entropy in the finite-density O(N) model","ref_index":94,"is_internal_anchor":true},{"citing_arxiv_id":"2606.17380","citing_title":"Universal structure in the interactions of massless fields on the lightcone","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2606.12560","citing_title":"The state/defect correspondence","ref_index":90,"is_internal_anchor":true},{"citing_arxiv_id":"2606.05059","citing_title":"Thermal effective action for the $O(N)$ vector model","ref_index":21,"is_internal_anchor":true},{"citing_arxiv_id":"2606.30716","citing_title":"CFTs on Squashed Spheres and the Thermal Effective Action","ref_index":53,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24874","citing_title":"$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions","ref_index":57,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17209","citing_title":"Emergent $\\text{AdS}_{d+1}$ Geometry from Functional Renormalization Group via Bulk Metric Reconstruction","ref_index":72,"is_internal_anchor":true},{"citing_arxiv_id":"2606.29625","citing_title":"Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2605.27956","citing_title":"Worldline Higher Spin Gravity","ref_index":64,"is_internal_anchor":true},{"citing_arxiv_id":"2605.30276","citing_title":"Self-dual holography: four-point AdS/CFT correlators in higher-spin gravity","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"1907.03531","citing_title":"Notes on Tensor Models and Tensor Field Theories","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2504.12855","citing_title":"Amplitudes and partial wave unitarity bounds","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17209","citing_title":"Emergent $\\text{AdS}_{d+1}$ Geometry from Functional Renormalization Group via Bulk Metric Reconstruction","ref_index":72,"is_internal_anchor":true},{"citing_arxiv_id":"2602.19812","citing_title":"dS$^4$ Metamorphosis","ref_index":17,"is_internal_anchor":true},{"citing_arxiv_id":"2603.08334","citing_title":"Topological Fields in $4d$ Higher Spin Theory","ref_index":23,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24873","citing_title":"Amplitudes in self-dual (higher-spin) theories","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2604.08093","citing_title":"Higher-Spin Gravity in Two Dimensions with Vanishing Cosmological Constant","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J","json":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J.json","graph_json":"https://pith.science/api/pith-number/NTFMASH4TCB4J4IHL7QL3ART7J/graph.json","events_json":"https://pith.science/api/pith-number/NTFMASH4TCB4J4IHL7QL3ART7J/events.json","paper":"https://pith.science/paper/NTFMASH4"},"agent_actions":{"view_html":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J","download_json":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J.json","view_paper":"https://pith.science/paper/NTFMASH4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0210114&json=true","fetch_graph":"https://pith.science/api/pith-number/NTFMASH4TCB4J4IHL7QL3ART7J/graph.json","fetch_events":"https://pith.science/api/pith-number/NTFMASH4TCB4J4IHL7QL3ART7J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J/action/storage_attestation","attest_author":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J/action/author_attestation","sign_citation":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J/action/citation_signature","submit_replication":"https://pith.science/pith/NTFMASH4TCB4J4IHL7QL3ART7J/action/replication_record"}},"created_at":"2026-07-04T16:34:55.777509+00:00","updated_at":"2026-07-04T16:34:55.777509+00:00"}