Pith Number

pith:VGXFSETS

pith:2002:VGXFSETSQ6G52TTC4H3KMGSD42

not attested not anchored not stored refs pending

Exact partition functions of the Ising model on MxN planar lattices with periodic-aperiodic boundary conditions

Chin-Kun Hu, Ming-Chya Wu

arxiv:cond-mat/0204217 v1 · 2002-04-10 · 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{VGXFSETSQ6G52TTC4H3KMGSD42}

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	2026-05-18T04:01:02.589877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ae591272878ddd4e62e1f6a61a43e6bfc9ab4331a9161a2255848ef0874a27

Aliases

arxiv: cond-mat/0204217 · arxiv_version: cond-mat/0204217v1 · doi: 10.48550/arxiv.cond-mat/0204217 · pith_short_12: VGXFSETSQ6G5 · pith_short_16: VGXFSETSQ6G52TTC · pith_short_8: VGXFSETS

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/VGXFSETSQ6G52TTC4H3KMGSD42 \
  | 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: a9ae591272878ddd4e62e1f6a61a43e6bfc9ab4331a9161a2255848ef0874a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d1952c7451df81465bca2f3762feee6e2828436770efb0165385190bb1afeb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-04-10T04:46:20Z",
    "title_canon_sha256": "78bc033e0e652e98902f00dc8e6429f0fbe1f65517e23860781e76855a1ec75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0204217",
    "kind": "arxiv",
    "version": 1
  }
}