Pith Number

pith:3WNCYDWG

pith:2010:3WNCYDWGA4ZJ3VF72RKS2HONNY

not attested not anchored not stored refs pending

Stochastic domination for the Ising and fuzzy Potts models

Marcus Warfheimer

arxiv:1003.3722 v1 · 2010-03-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WNCYDWGA4ZJ3VF72RKS2HONNY}

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	2026-05-18T02:24:36.641719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd9a2c0ec607329dd4bfd4552d1dcd6e2c808766319d4bea72292e0707428545

Aliases

arxiv: 1003.3722 · arxiv_version: 1003.3722v1 · doi: 10.48550/arxiv.1003.3722 · pith_short_12: 3WNCYDWGA4ZJ · pith_short_16: 3WNCYDWGA4ZJ3VF7 · pith_short_8: 3WNCYDWG

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/3WNCYDWGA4ZJ3VF72RKS2HONNY \
  | 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: dd9a2c0ec607329dd4bfd4552d1dcd6e2c808766319d4bea72292e0707428545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02c47bc77baa729e7ca8141ee49fc61e267047b54d99a571a3c38a4eafc5b3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-19T06:32:45Z",
    "title_canon_sha256": "aaf84b470f6a9457ff9524058dfcdd5ef18bfd742b8dcb6ad9f27aa9361b417c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3722",
    "kind": "arxiv",
    "version": 1
  }
}