Pith Number

pith:QTQFVD5Y

pith:1999:QTQFVD5YS6UEVDLJGZYJ3CIO7X

not attested not anchored not stored refs pending

Height representation, critical exponents, and ergodicity in the four-state triangular Potts antiferromagnet

Cristopher Moore, M. E. J. Newman (Santa Fe Institute)

arxiv:cond-mat/9902295 v1 · 1999-02-22 · 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{QTQFVD5YS6UEVDLJGZYJ3CIO7X}

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	2026-07-04T14:23:31.188888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84e05a8fb897a84a8d6936709d890efdd126a814fb8d090fd7a9c5def0acd1c6

Aliases

arxiv: cond-mat/9902295 · arxiv_version: cond-mat/9902295v1 · doi: 10.48550/arxiv.cond-mat/9902295 · pith_short_12: QTQFVD5YS6UE · pith_short_16: QTQFVD5YS6UEVDLJ · pith_short_8: QTQFVD5Y

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/QTQFVD5YS6UEVDLJGZYJ3CIO7X \
  | 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: 84e05a8fb897a84a8d6936709d890efdd126a814fb8d090fd7a9c5def0acd1c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d7fb68048d4aa8ce83c2aba84f10c288e480d985a1b8f437dfef814c5886bc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-02-22T23:03:47Z",
    "title_canon_sha256": "5762207b2f4dd301ed6ecb24e733d214e773feb992e1976c7b5007c0591d9ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9902295",
    "kind": "arxiv",
    "version": 1
  }
}