Pith Number

pith:42AEYAPB

pith:2009:42AEYAPBSMLP3VYLIO7VKVNKCG

not attested not anchored not stored refs pending

Cutoff for the Ising model on the lattice

Allan Sly, Eyal Lubetzky

arxiv:0909.4320 v1 · 2009-09-23 · math.PR · 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{42AEYAPBSMLP3VYLIO7VKVNKCG}

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	2026-05-18T02:11:38.242570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6804c01e19316fdd70b43bf5555aa11bd6a19757eca1ed91151a8f2be22e081

Aliases

arxiv: 0909.4320 · arxiv_version: 0909.4320v1 · doi: 10.48550/arxiv.0909.4320 · pith_short_12: 42AEYAPBSMLP · pith_short_16: 42AEYAPBSMLP3VYL · pith_short_8: 42AEYAPB

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/42AEYAPBSMLP3VYLIO7VKVNKCG \
  | 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: e6804c01e19316fdd70b43bf5555aa11bd6a19757eca1ed91151a8f2be22e081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b30d132c3361d5f1045342894afb9aa00b008af76d7c785a826cb28e94cf6883",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-23T21:13:00Z",
    "title_canon_sha256": "21b230652aa488a53157611e531848032ecd40acb2bb7f61b67ab3c81f960629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4320",
    "kind": "arxiv",
    "version": 1
  }
}