Pith Number

pith:WAIUEOWV

pith:2026:WAIUEOWV7ZRBY3MWYPPD4L3LCR

not attested not anchored not stored refs resolved

Holographic entanglement entropy in the QCD phase diagram under external magnetic field

Man-Li Tian, Man-Man Sun, Zhou-Run Zhu

Entanglement entropy develops a swallow-tail structure under perpendicular magnetic fields, marking the QCD phase transition in a holographic model.

arxiv:2605.17438 v1 · 2026-05-17 · hep-th · hep-ph

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\pithnumber{WAIUEOWV7ZRBY3MWYPPD4L3LCR}

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Record completeness

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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

Our findings show that entanglement entropy can serve as an effective probe of the QCD phase transition.

C2weakest assumption

The Einstein-Maxwell-dilaton model with the chosen parameters faithfully reproduces the QCD phase diagram and its response to external magnetic fields.

C3one line summary

Holographic entanglement entropy exhibits a swallow-tail structure indicating connected-to-disconnected transitions for perpendicular magnetic fields in the QCD phase diagram while remaining monotonic for parallel fields, consistent with black hole thermodynamics.

References

60 extracted · 60 resolved · 45 Pith anchors

[1] A background magnetic ﬁeld B is introduced through the second gauge ﬁeld via F(2)M N = Bdx2 ∧ dx3, which breaks the SO(3) rotational symmetry as B is aligned along the x1-direction

[2] In the presence of a background magnetic ﬁeld, the entangling sur face can align parallel and perpendicular to the magnetic ﬁeld

[3] Entanglement in Many-Body Systems 2008 · doi:10.1103/revmodphys.80.517

[4] Area laws for the entanglement entropy - a review 2010 · doi:10.1103/revmodphys.82.277

[5] Numerical study of entanglement entropy in SU(2) lattice gauge theory 2008 · doi:10.1016/j.nuclphysb.2008.04.024

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:38.834400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b011423ad5fe621c6d96c3de3e2f6b147586bf32decdf4a4f98f9e5222b9eabd

Aliases

arxiv: 2605.17438 · arxiv_version: 2605.17438v1 · doi: 10.48550/arxiv.2605.17438 · pith_short_12: WAIUEOWV7ZRB · pith_short_16: WAIUEOWV7ZRBY3MW · pith_short_8: WAIUEOWV

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/WAIUEOWV7ZRBY3MWYPPD4L3LCR \
  | 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: b011423ad5fe621c6d96c3de3e2f6b147586bf32decdf4a4f98f9e5222b9eabd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a8b66b3c5584b6146c1034eafb5008330a4a29ed96aeaca7963e2646c3a3e0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-17T13:20:12Z",
    "title_canon_sha256": "f71888f35ed7b83cf45eea77f0d1799bc20047c166e7b3f5965655f51c41110a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17438",
    "kind": "arxiv",
    "version": 1
  }
}