{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:C4TUHNT6SYE7Q7V62ORNE4O74W","short_pith_number":"pith:C4TUHNT6","schema_version":"1.0","canonical_sha256":"172743b67e9609f87ebed3a2d271dfe5ba22d0e38a4200d9134efa61b06b1e0f","source":{"kind":"arxiv","id":"hep-th/9907079","version":4},"attestation_state":"computed","paper":{"title":"Scalar Field Theory in the AdS/CFT Correspondence Revisited","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pablo Minces, Victor O. Rivelles","submitted_at":"1999-07-11T23:24:36Z","abstract_excerpt":"We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet, Neumann and mixed. We compute the two-point functions of the conformal operators on the boundary for each type of boundary condition. We show how particular choices of the mass require different treatments. In the Dirichlet case we find that there is no double zero in the two-point function of the operator with conformal dimension $\\frac{d}{2}$. The Neumann"},"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/9907079","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-07-11T23:24:36Z","cross_cats_sorted":[],"title_canon_sha256":"9bba876209fab60a9bac7dacce3036b095303ba67adc51f7ebb7e791fda30ce6","abstract_canon_sha256":"6ee6b310ceca41efbe8093f5527cfca6cf94790f5ee8b0ab95a227fd0bb68b13"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:54.466757Z","signature_b64":"6p4D0xxwYYSfh7N4KFlX9i8LSFZMxhzSZk1F5yvG7uhICd1WJ0agfevcvgM1CptmbJC+oOvra0hTUvhdefEaBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"172743b67e9609f87ebed3a2d271dfe5ba22d0e38a4200d9134efa61b06b1e0f","last_reissued_at":"2026-07-04T16:14:54.466405Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:54.466405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scalar Field Theory in the AdS/CFT Correspondence Revisited","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Pablo Minces, Victor O. Rivelles","submitted_at":"1999-07-11T23:24:36Z","abstract_excerpt":"We consider the role of boundary conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of boundary conditions, Dirichlet, Neumann and mixed. We compute the two-point functions of the conformal operators on the boundary for each type of boundary condition. We show how particular choices of the mass require different treatments. In the Dirichlet case we find that there is no double zero in the two-point function of the operator with conformal dimension $\\frac{d}{2}$. The Neumann"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9907079","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/9907079/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/9907079","created_at":"2026-07-04T16:14:54.466467+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9907079v4","created_at":"2026-07-04T16:14:54.466467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9907079","created_at":"2026-07-04T16:14:54.466467+00:00"},{"alias_kind":"pith_short_12","alias_value":"C4TUHNT6SYE7","created_at":"2026-07-04T16:14:54.466467+00:00"},{"alias_kind":"pith_short_16","alias_value":"C4TUHNT6SYE7Q7V6","created_at":"2026-07-04T16:14:54.466467+00:00"},{"alias_kind":"pith_short_8","alias_value":"C4TUHNT6","created_at":"2026-07-04T16:14:54.466467+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.11297","citing_title":"Bouncing Geodesics, Singularities, and the Cavity Thermal Product Formula in Asymptotically Flat and de Sitter Black Holes","ref_index":51,"is_internal_anchor":true},{"citing_arxiv_id":"2605.18628","citing_title":"Field Theory Models for a Holographic Superconductor in Two Dimensions","ref_index":27,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W","json":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W.json","graph_json":"https://pith.science/api/pith-number/C4TUHNT6SYE7Q7V62ORNE4O74W/graph.json","events_json":"https://pith.science/api/pith-number/C4TUHNT6SYE7Q7V62ORNE4O74W/events.json","paper":"https://pith.science/paper/C4TUHNT6"},"agent_actions":{"view_html":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W","download_json":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W.json","view_paper":"https://pith.science/paper/C4TUHNT6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9907079&json=true","fetch_graph":"https://pith.science/api/pith-number/C4TUHNT6SYE7Q7V62ORNE4O74W/graph.json","fetch_events":"https://pith.science/api/pith-number/C4TUHNT6SYE7Q7V62ORNE4O74W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W/action/storage_attestation","attest_author":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W/action/author_attestation","sign_citation":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W/action/citation_signature","submit_replication":"https://pith.science/pith/C4TUHNT6SYE7Q7V62ORNE4O74W/action/replication_record"}},"created_at":"2026-07-04T16:14:54.466467+00:00","updated_at":"2026-07-04T16:14:54.466467+00:00"}