Pith Number

pith:YPKKT76I

pith:2012:YPKKT76IKKTV7L5BR7TLNIUJWT

not attested not anchored not stored refs pending

Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q

Alan D. Sokal, Jan M. Swart, Jesper Lykke Jacobsen, Jes\'us Salas, Kun Chen, Roman Koteck\'y, Youjin Deng, Yuan Huang

arxiv:1210.6248 v2 · 2012-10-23 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPKKT76IKKTV7L5BR7TLNIUJWT}

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.

Receipt and verification

First computed	2026-05-18T03:34:25.169536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d4a9ffc852a75fafa18fe6b6a289b4f25f6949992fe29b54659d3cea2c3134

Aliases

arxiv: 1210.6248 · arxiv_version: 1210.6248v2 · doi: 10.48550/arxiv.1210.6248 · pith_short_12: YPKKT76IKKTV · pith_short_16: YPKKT76IKKTV7L5B · pith_short_8: YPKKT76I

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/YPKKT76IKKTV7L5BR7TLNIUJWT \
  | 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: c3d4a9ffc852a75fafa18fe6b6a289b4f25f6949992fe29b54659d3cea2c3134

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fce0b13d58694682bb9fee995b71af05a080f80a57177961612d5c91ae49a28",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-10-23T14:32:18Z",
    "title_canon_sha256": "cb11236cde0fc51b5e7f7808099b9833cbd91b67c8ed9a5cc27a03786be481e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6248",
    "kind": "arxiv",
    "version": 2
  }
}