Pith Number

pith:YC5TQNVK

pith:2012:YC5TQNVK6JUPQTXO4TMOGIIA65

not attested not anchored not stored refs pending

Critical manifold of the Potts model: Exact results and homogeneity approximation

F. Y. Wu, Wenan Guo

arxiv:1205.5893 v2 · 2012-05-26 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YC5TQNVK6JUPQTXO4TMOGIIA65}

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	2026-05-18T03:46:48.976562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bb3836aaf268f84eeee4d8e32100f76dffc28908fe370cab7911172306bfce

Aliases

arxiv: 1205.5893 · arxiv_version: 1205.5893v2 · doi: 10.48550/arxiv.1205.5893 · pith_short_12: YC5TQNVK6JUP · pith_short_16: YC5TQNVK6JUPQTXO · pith_short_8: YC5TQNVK

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/YC5TQNVK6JUPQTXO4TMOGIIA65 \
  | 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: c0bb3836aaf268f84eeee4d8e32100f76dffc28908fe370cab7911172306bfce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfd1d77f21bdd4f9e8a6de40be7a37ef2cb118fd9db9aee7efa2474413e8cac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-05-26T16:28:13Z",
    "title_canon_sha256": "d1b60665aefda8c509452a7f05a4466a80975ecdfa1bfe066b17f7a6f142e5e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5893",
    "kind": "arxiv",
    "version": 2
  }
}