Pith Number

pith:QNV7JO3K

pith:2009:QNV7JO3KD5HIX7BCQEKB2VJFWA

not attested not anchored not stored refs pending

Critical frontier of the Potts and percolation models in triangular-type and kagome-type lattices I: Closed-form expressions

F. Y. Wu

arxiv:0911.2514 v1 · 2009-11-13 · 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{QNV7JO3KD5HIX7BCQEKB2VJFWA}

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	2026-05-18T03:23:56.859940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

836bf4bb6a1f4e8bfc2281141d5525b000c6d585d7a39213dce756c8092121de

Aliases

arxiv: 0911.2514 · arxiv_version: 0911.2514v1 · doi: 10.48550/arxiv.0911.2514 · pith_short_12: QNV7JO3KD5HI · pith_short_16: QNV7JO3KD5HIX7BC · pith_short_8: QNV7JO3K

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/QNV7JO3KD5HIX7BCQEKB2VJFWA \
  | 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: 836bf4bb6a1f4e8bfc2281141d5525b000c6d585d7a39213dce756c8092121de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07881db6c6bbaa40c6c26f82090ba6edfc8de910c48e775804cbba88172b2440",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-11-13T00:12:28Z",
    "title_canon_sha256": "4bb06fcabb58489fbe641311714156b57b2393df32721443016af6696ed16510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2514",
    "kind": "arxiv",
    "version": 1
  }
}