Pith Number

pith:SPXT6BDH

pith:2025:SPXT6BDHQ4WGAR2MR4RDWS4SHG

not attested not anchored not stored refs resolved

Holographic Tensor Networks as Tessellations of Geometry

Haocheng Zhong, Mingshuai Xu, Qiang Wen

Holographic tensor networks from partial-entanglement-entropy threads exactly reproduce the Ryu-Takayanagi formula.

arxiv:2512.19452 v4 · 2025-12-22 · hep-th · gr-qc · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPXT6BDHQ4WGAR2MR4RDWS4SHG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

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.

C2weakest 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.

C3one 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.

References

68 extracted · 68 resolved · 36 Pith anchors

[1] J. Lin, Y. Lu, Q. Wen and Y. Zhong, Weaving the (AdS) spaces with partial entanglement entropy threads, 2401.07471. – 14 –

[2] Anti De Sitter Space And Holography 1998 · arXiv:hep-th/9802150

[3] Gauge Theory Correlators from Non-Critical String Theory 1998 · arXiv:hep-th/9802109

[4] The Large N Limit of Superconformal Field Theories and Supergravity 1998 · arXiv:hep-th/9711200

[5] The Gravity Dual of a Density Matrix 2012 · arXiv:1204.1330

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:05:05.082389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93ef3f0467872c60474c8f223b4b9239842057657b7eecc816ea639457f6fe05

Aliases

arxiv: 2512.19452 · arxiv_version: 2512.19452v4 · doi: 10.48550/arxiv.2512.19452 · pith_short_12: SPXT6BDHQ4WG · pith_short_16: SPXT6BDHQ4WGAR2M · pith_short_8: SPXT6BDH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SPXT6BDHQ4WGAR2MR4RDWS4SHG \
  | 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: 93ef3f0467872c60474c8f223b4b9239842057657b7eecc816ea639457f6fe05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f0ded543fd1be6b374a97020a5d1e14258415a39b5954e1c3d736646cc5ed87",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-22T14:57:18Z",
    "title_canon_sha256": "7a54c49db9a522da8737db1a200031d5321ce90bf9ef9a391bad6e52786a89f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19452",
    "kind": "arxiv",
    "version": 4
  }
}