{"paper":{"title":"Entanglement Wedge Reconstruction and the Information Paradox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The quantum Ryu-Takayanagi surface for an evaporating black hole jumps inside the event horizon at the Page time.","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Geoffrey Penington","submitted_at":"2019-05-20T18:00:01Z","abstract_excerpt":"When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time $\\beta/2\\pi \\log S_{BH}$ into the past. We can immediately derive the Page curve, using the Ryu-Takayanagi formula, and the Hayden-Preskill decoding criterion, using entanglement wedge reconstruction. Because part of the interior is now encoded in the early Hawking radiation, the"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time β/2π log S_BH into the past.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The quantum Ryu-Takayanagi formula continues to compute the correct entanglement entropy even after the surface jumps inside the horizon and the bulk is no longer in a simple semiclassical state; this assumption is invoked to equate the new surface location directly with the decreasing Page curve entropy.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A phase transition in the quantum RT surface at the Page time derives the Page curve and enables entanglement wedge reconstruction of the black hole interior from Hawking radiation.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The quantum Ryu-Takayanagi surface for an evaporating black hole jumps inside the event horizon at the Page time.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ba96b300e411dfb7aaf4238f3425aca847acba49fe30856ae85205d27af610c3"},"source":{"id":"1905.08255","kind":"arxiv","version":3},"verdict":{"id":"dd6a44d5-d8f9-40fd-bbb0-2ea6238098c1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T05:00:39.902741Z","strongest_claim":"When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the event horizon, at an infalling time approximately the scrambling time β/2π log S_BH into the past.","one_line_summary":"A phase transition in the quantum RT surface at the Page time derives the Page curve and enables entanglement wedge reconstruction of the black hole interior from Hawking radiation.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The quantum Ryu-Takayanagi formula continues to compute the correct entanglement entropy even after the surface jumps inside the horizon and the bulk is no longer in a simple semiclassical state; this assumption is invoked to equate the new surface location directly with the decreasing Page curve entropy.","pith_extraction_headline":"The quantum Ryu-Takayanagi surface for an evaporating black hole jumps inside the event horizon at the Page time."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1905.08255/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":98,"sample":[{"doi":"","year":1999,"title":"The large-N limit of superconformal field theories and supergravity.In- ternational journal of theoretical physics , 38(4):1113–1133","work_id":"3f6ed1d9-296b-4102-a790-b29129e24a5b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"Anti De Sitter Space And Holography","work_id":"3559baf4-a73f-4ab9-924e-dc5290a82643","ref_index":2,"cited_arxiv_id":"hep-th/9802150","is_internal_anchor":true},{"doi":"","year":2017,"title":"Information loss.Reports on Progress in Physics , 80(9):092002","work_id":"d8a55a4b-e80e-46fb-b8ff-71fbee315a5b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1974,"title":"Black hole explosions?Nature, 248(5443):30","work_id":"3ede3f4b-2fed-464a-80fa-f36a10c3cf9c","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1975,"title":"Particle creation by black holes.Communications in mathematical physics, 43(3):199–220","work_id":"a9af7d47-58d5-4fc3-916b-d6e09214e282","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":98,"snapshot_sha256":"02f1f7eacf96ace2a262aa0fcfec03aa213fdec4a71737f2b6accb7e22d53e1f","internal_anchors":15},"formal_canon":{"evidence_count":2,"snapshot_sha256":"98cca71a0fb4c6e367d1e7eba555190f755060c64d6050f986741f1ad9da8104"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}