{"paper":{"title":"Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator transitions more precisely than holographic entanglement entropy or mutual information, and all geometry quantities share a 1/3临","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jian-Pin Wu, Peng Liu, Zhe Yang","submitted_at":"2025-12-31T19:00:45Z","abstract_excerpt":"We study mixed-state entanglement measures in Einstein-Born-Infeld (EN-BI) massive gravity theory, a model exhibiting both Hawking-Page transitions and effective metal-insulator transitions (MIT) at finite temperatures. Our comprehensive investigation reveals that the entanglement wedge cross-section (EWCS), a novel mixed-state entanglement measure, demonstrates unique properties in detecting phase transitions. For effective MIT, we find the higher-order terms of EWCS align closely with the critical point, outperforming measures like holographic entanglement entropy (HEE) and mutual informatio"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"EWCS demonstrates unique properties in detecting phase transitions; for effective MIT the higher-order terms align closely with the critical point, outperforming HEE and MI; all geometry-related quantities show a universal critical exponent of 1/3 near the second-order phase transition point.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the chosen bulk geometry and boundary conditions in the Einstein-Born-Infeld massive gravity model accurately reproduce the effective metal-insulator and Hawking-Page transitions of the dual field theory, with entanglement measures computed without uncontrolled approximations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical exponent of 1/3 near second-order points.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator transitions more precisely than holographic entanglement entropy or mutual information, and all geometry quantities share a 1/3临","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"04775e9788de3b366544f0ab92478135ed32a32aaf7c2e4d84dba1fa3c80074a"},"source":{"id":"2601.00071","kind":"arxiv","version":4},"verdict":{"id":"64115ef7-86ae-49b9-b0a4-477f6ba3ab46","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T17:52:54.549615Z","strongest_claim":"EWCS demonstrates unique properties in detecting phase transitions; for effective MIT the higher-order terms align closely with the critical point, outperforming HEE and MI; all geometry-related quantities show a universal critical exponent of 1/3 near the second-order phase transition point.","one_line_summary":"In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator and Hawking-Page transitions more sensitively than other measures and reveals a universal critical exponent of 1/3 near second-order points.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the chosen bulk geometry and boundary conditions in the Einstein-Born-Infeld massive gravity model accurately reproduce the effective metal-insulator and Hawking-Page transitions of the dual field theory, with entanglement measures computed without uncontrolled approximations.","pith_extraction_headline":"In Einstein-Born-Infeld massive gravity, the entanglement wedge cross-section detects effective metal-insulator transitions more precisely than holographic entanglement entropy or mutual information, and all geometry quantities share a 1/3临"},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.00071/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":2,"snapshot_sha256":"b70affd6ebc021c15850b2191bfd5d6a4420eb2b19595602bfa55054f2ccbb8c"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}