{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4ZB3GVTJEURXC7EY24BGLEUKLS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4d07c264078bc9e7465aeb3dd4476e96fe88852385ffdcc7500822f28db88b71","cross_cats_sorted":["cond-mat.str-el","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-31T20:00:46Z","title_canon_sha256":"ff38cf5507245df862857e10a912fcc90db09e9afcb9ee681a8295140c9b3a95"},"schema_version":"1.0","source":{"id":"1702.00038","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.00038","created_at":"2026-05-18T00:46:00Z"},{"alias_kind":"arxiv_version","alias_value":"1702.00038v2","created_at":"2026-05-18T00:46:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.00038","created_at":"2026-05-18T00:46:00Z"},{"alias_kind":"pith_short_12","alias_value":"4ZB3GVTJEURX","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4ZB3GVTJEURXC7EY","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4ZB3GVTJ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:1bed15934ceab9fe79de03fd29788e6c9756bb5c3d1aba3da4ae11a5307735c1","target":"graph","created_at":"2026-05-18T00:46:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Using holographic renormalization coupled with the Caffarelli/Silvestre\\cite{caffarelli} extension theorem, we calculate the precise form of the boundary operator dual to a bulk scalar field rather than just its average value. We show that even in the presence of interactions in the bulk, the boundary operator dual to a bulk scalar field is an anti-local operator, namely the fractional Laplacian. The propagator associated with such operators is of the general power-law (fixed by the dimension of the scalar field) type indicative of the absence of particle-like excitations at the Wilson-Fisher ","authors_text":"Gabriele La Nave, Philip Phillips","cross_cats":["cond-mat.str-el","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-31T20:00:46Z","title":"Exact Form of Boundary Operators Dual to Interacting Bulk Scalar Fields in the AdS/CFT Correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.00038","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e1f8c331cf682da4e764c9f681de54040dda1e50ada0130d49a3e1d30043d311","target":"record","created_at":"2026-05-18T00:46:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4d07c264078bc9e7465aeb3dd4476e96fe88852385ffdcc7500822f28db88b71","cross_cats_sorted":["cond-mat.str-el","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-01-31T20:00:46Z","title_canon_sha256":"ff38cf5507245df862857e10a912fcc90db09e9afcb9ee681a8295140c9b3a95"},"schema_version":"1.0","source":{"id":"1702.00038","kind":"arxiv","version":2}},"canonical_sha256":"e643b356692523717c98d70265928a5ca69e3398786bb73f0a1ad5379e579314","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e643b356692523717c98d70265928a5ca69e3398786bb73f0a1ad5379e579314","first_computed_at":"2026-05-18T00:46:00.413253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:00.413253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/MQudvJCDn4ryK+b3GsEyx0qTAT9CVMsEf1vLD6hZrx5Tir1MGaotgli5Ow1hFRpBGNMpOzh071sEfglZyhcBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:00.413742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.00038","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e1f8c331cf682da4e764c9f681de54040dda1e50ada0130d49a3e1d30043d311","sha256:1bed15934ceab9fe79de03fd29788e6c9756bb5c3d1aba3da4ae11a5307735c1"],"state_sha256":"45bdae457f7203fc988c4ff3935632b1ee3efe447143128749643afdd7770890"}