Pith Number

pith:QER4OEPQ

pith:2026:QER4OEPQZRECFWMQ3OYSMJFFWT

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The Widom line in the Ising model on a decorated bilayer lattice

Bruno Tomasello, Joseph Chapman, Justas Gidziunas, Sam Carr

The pseudo-transitions of one-dimensional frustrated Ising models become real first-order phase transitions when extended to a decorated bilayer lattice in two dimensions.

arxiv:2604.11606 v2 · 2026-04-13 · cond-mat.stat-mech

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\pithnumber{QER4OEPQZRECFWMQ3OYSMJFFWT}

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4 Citations 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

We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition is found to still exist above a bi-critical point. This can be characterised as a Widom line.

C2weakest assumption

The decorated bilayer lattice extension from one dimension preserves the essential pseudo-transition physics without new artifacts dominating the thermodynamics, and that the numerical or analytical identification of the first-order transition and bi-critical point is accurate.

C3one line summary

The Ising model on a decorated bilayer lattice turns one-dimensional pseudo-transitions into a real first-order phase transition, with the pseudo-transition surviving as a Widom line above the bi-critical point.

Cited by

1 paper in Pith

Universal Scaling of the Magnetocaloric Effect in 2D Ising Monolayers and Bilayer

Receipt and verification

First computed	2026-06-23T03:13:57.199618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8123c711f0cc4822d990dbb12624a5b4ede802b496295812238280060ca331d4

Aliases

arxiv: 2604.11606 · arxiv_version: 2604.11606v2 · doi: 10.48550/arxiv.2604.11606 · pith_short_12: QER4OEPQZREC · pith_short_16: QER4OEPQZRECFWMQ · pith_short_8: QER4OEPQ

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/QER4OEPQZRECFWMQ3OYSMJFFWT \
  | 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: 8123c711f0cc4822d990dbb12624a5b4ede802b496295812238280060ca331d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c412fbd67d0801f077d4d1ee70262df950c629bbc9cea5841c9ebde5476592",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-13T15:13:34Z",
    "title_canon_sha256": "d16130047868b24a92d6ed47e16744c25d881fc4d76c9236a404925804d6b63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11606",
    "kind": "arxiv",
    "version": 2
  }
}