{"paper":{"title":"Holographic Tensor Networks as Tessellations of Geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Holographic tensor networks from partial-entanglement-entropy threads exactly reproduce the Ryu-Takayanagi formula.","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Haocheng Zhong, Mingshuai Xu, Qiang Wen","submitted_at":"2025-12-22T14:57:18Z","abstract_excerpt":"Holographic tensor networks serve as toy models for the Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence, capturing many of its essential features in a concrete manner. However, existing holographic tensor network models remain far from a complete theory of quantum gravity. A key obstacle is their discrete structure, which only approximates the semi-classical geometry of gravity in a qualitative sense. In \\cite{Lin:2024dho}, it was shown that a network of partial-entanglement-entropy (PEE) threads, which are bulk geodesics with a specific density distribution, generates a perfect"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"In all these models, we reproduce the exact Ryu-Takayanagi formula by showing that the minimal number of cuts along a homologous surface in the network exactly equals the area of that surface.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the PEE-thread network from the cited prior work provides a perfect tessellation whose link lengths and densities can be directly interpreted as entanglement cuts whose count equals geometric area, without additional fitting or approximation.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Holographic tensor networks constructed from PEE-thread tessellations of AdS geometry reproduce the exact Ryu-Takayanagi formula in factorized EPR, perfect-tensor, and random variants.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Holographic tensor networks from partial-entanglement-entropy threads exactly reproduce the Ryu-Takayanagi formula.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a9faa3ffa2a22a3ce7f2bcc9c4ea9493df72fa26947a2a9f899f67663ff25d85"},"source":{"id":"2512.19452","kind":"arxiv","version":4},"verdict":{"id":"2424af2f-cbca-4976-9611-008eb92d350b","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T20:29:57.498201Z","strongest_claim":"In all these models, we reproduce the exact Ryu-Takayanagi formula by showing that the minimal number of cuts along a homologous surface in the network exactly equals the area of that surface.","one_line_summary":"Holographic tensor networks constructed from PEE-thread tessellations of AdS geometry reproduce the exact Ryu-Takayanagi formula in factorized EPR, perfect-tensor, and random variants.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the PEE-thread network from the cited prior work provides a perfect tessellation whose link lengths and densities can be directly interpreted as entanglement cuts whose count equals geometric area, without additional fitting or approximation.","pith_extraction_headline":"Holographic tensor networks from partial-entanglement-entropy threads exactly reproduce the Ryu-Takayanagi formula."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.19452/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":68,"sample":[{"doi":"","year":null,"title":"J. 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Zhong, Weaving the (AdS) spaces with partial entanglement entropy threads, 2401.07471. – 14 –","work_id":"0cf4f175-62ca-4964-ba9a-40fe0fdc7a87","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":1998,"title":"Gauge Theory Correlators from Non-Critical String Theory","work_id":"31a4a9b9-435c-4d7b-a180-437bbbabbe5a","ref_index":3,"cited_arxiv_id":"hep-th/9802109","is_internal_anchor":true},{"doi":"","year":1998,"title":"The Large N Limit of Superconformal Field Theories and Supergravity","work_id":"d6d2272a-c223-471a-bbbf-bfe4ee6a8ff3","ref_index":4,"cited_arxiv_id":"hep-th/9711200","is_internal_anchor":true},{"doi":"","year":2012,"title":"The Gravity Dual of a Density Matrix","work_id":"922b6f2e-ca52-435d-8ce3-8941ae062e8b","ref_index":5,"cited_arxiv_id":"1204.1330","is_internal_anchor":true}],"resolved_work":68,"snapshot_sha256":"a4bc88446a47c2e3c0dc5b9bcbdd496aa86f7b3f69976c088c0f9739a233b391","internal_anchors":36},"formal_canon":{"evidence_count":2,"snapshot_sha256":"69440b548cacb0f440aa0e7ba93f67d02c06d0661e97060074e21457b66ef865"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}