{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:XV3GNNJ2DU7EKAVGXOKXCPWKWI","short_pith_number":"pith:XV3GNNJ2","schema_version":"1.0","canonical_sha256":"bd7666b53a1d3e4502a6bb95713ecab20d255160ece12fd4ed2c1d7bf84cc086","source":{"kind":"arxiv","id":"hep-th/0602106","version":2},"attestation_state":"computed","paper":{"title":"Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leonardo Rastelli, Thomas Hartman","submitted_at":"2006-02-10T17:07:30Z","abstract_excerpt":"According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we address various aspects of this correspondence. The change c_{UV} - c_{IR} of the central charge between the UV ad IR fixed points is known from explicit calculations (hep-th/0210093, hep-th/0212138) to be exactly the same in the bulk and in the boundary theories. By comparing the appropriate bulk and boundary functional determinants, we give a simple ``kine"},"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/0602106","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-02-10T17:07:30Z","cross_cats_sorted":[],"title_canon_sha256":"8a5cfedc53a2301e35d4ba15b25d8492be3eb172d614135cbde58d9fc4440d19","abstract_canon_sha256":"b2da9478f4b147e93ab6d3eb78d181054f3f528d01e353340938a7e7aff27fa0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:26:05.956798Z","signature_b64":"S5F/0DoNqsKgkDDKm6nTFL+gNCEaoF5sUJ7K5Ky+0uPzO76rSHyF0XMm/2jk2IuygckNzMRzRd0iLYIKgC1TBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd7666b53a1d3e4502a6bb95713ecab20d255160ece12fd4ed2c1d7bf84cc086","last_reissued_at":"2026-07-04T15:26:05.956406Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:26:05.956406Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Leonardo Rastelli, Thomas Hartman","submitted_at":"2006-02-10T17:07:30Z","abstract_excerpt":"According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we address various aspects of this correspondence. The change c_{UV} - c_{IR} of the central charge between the UV ad IR fixed points is known from explicit calculations (hep-th/0210093, hep-th/0212138) to be exactly the same in the bulk and in the boundary theories. By comparing the appropriate bulk and boundary functional determinants, we give a simple ``kine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0602106","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0602106/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/0602106","created_at":"2026-07-04T15:26:05.956466+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0602106v2","created_at":"2026-07-04T15:26:05.956466+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0602106","created_at":"2026-07-04T15:26:05.956466+00:00"},{"alias_kind":"pith_short_12","alias_value":"XV3GNNJ2DU7E","created_at":"2026-07-04T15:26:05.956466+00:00"},{"alias_kind":"pith_short_16","alias_value":"XV3GNNJ2DU7EKAVG","created_at":"2026-07-04T15:26:05.956466+00:00"},{"alias_kind":"pith_short_8","alias_value":"XV3GNNJ2","created_at":"2026-07-04T15:26:05.956466+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2606.26302","citing_title":"Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II","ref_index":12,"is_internal_anchor":true},{"citing_arxiv_id":"2606.09170","citing_title":"Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy","ref_index":58,"is_internal_anchor":true},{"citing_arxiv_id":"2606.01486","citing_title":"Approximate higher-form symmetries and dualities of massive p-forms in the holographic bulk","ref_index":52,"is_internal_anchor":true},{"citing_arxiv_id":"2606.30806","citing_title":"Thermal Double-Twist Data in Holography","ref_index":14,"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":56,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI","json":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI.json","graph_json":"https://pith.science/api/pith-number/XV3GNNJ2DU7EKAVGXOKXCPWKWI/graph.json","events_json":"https://pith.science/api/pith-number/XV3GNNJ2DU7EKAVGXOKXCPWKWI/events.json","paper":"https://pith.science/paper/XV3GNNJ2"},"agent_actions":{"view_html":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI","download_json":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI.json","view_paper":"https://pith.science/paper/XV3GNNJ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0602106&json=true","fetch_graph":"https://pith.science/api/pith-number/XV3GNNJ2DU7EKAVGXOKXCPWKWI/graph.json","fetch_events":"https://pith.science/api/pith-number/XV3GNNJ2DU7EKAVGXOKXCPWKWI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI/action/storage_attestation","attest_author":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI/action/author_attestation","sign_citation":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI/action/citation_signature","submit_replication":"https://pith.science/pith/XV3GNNJ2DU7EKAVGXOKXCPWKWI/action/replication_record"}},"created_at":"2026-07-04T15:26:05.956466+00:00","updated_at":"2026-07-04T15:26:05.956466+00:00"}