Pith Number

pith:KOENITM5

pith:2025:KOENITM5OVD5KLJMP5LB2N67KK

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Diagnosing Effective Metal-Insulator and Hawking-Page Transitions: A Mixed-State Entanglement Perspective in Einstein-Born-Infeld-Massive Gravity

Jian-Pin Wu, Peng Liu, Zhe Yang

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

arxiv:2601.00071 v4 · 2025-12-31 · hep-th · gr-qc

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\pithnumber{KOENITM5OVD5KLJMP5LB2N67KK}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest 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.

C2weakest 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.

C3one 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.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-25T01:17:48.883819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5388d44d9d7547d52d2c7f561d37df52afb18f7143577c7fe3a592e8cc0d5bcb

Aliases

arxiv: 2601.00071 · arxiv_version: 2601.00071v4 · doi: 10.48550/arxiv.2601.00071 · pith_short_12: KOENITM5OVD5 · pith_short_16: KOENITM5OVD5KLJM · pith_short_8: KOENITM5

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KOENITM5OVD5KLJMP5LB2N67KK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5388d44d9d7547d52d2c7f561d37df52afb18f7143577c7fe3a592e8cc0d5bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca95b16a157c22b423a296bf66d3260cb65b82dc8101fa3732ccce2f0bac2759",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-31T19:00:45Z",
    "title_canon_sha256": "f92c6da7a4fc4efa0f71b6d96ccd60563739a86eb1128c2fa4f159162b1bcb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00071",
    "kind": "arxiv",
    "version": 4
  }
}