Pith Number

pith:24VWN45Y

pith:2011:24VWN45YX2WYHEIFIUEDEMKOXB

not attested not anchored not stored refs pending

The near-critical planar FK-Ising model

Christophe Garban, G\'abor Pete, Hugo Duminil-Copin

arxiv:1111.0144 v4 · 2011-11-01 · 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{24VWN45YX2WYHEIFIUEDEMKOXB}

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	2026-05-18T01:59:49.073623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d72b66f3b8bead839105450832314eb84c031da6e398def515bfe0e837fba7a8

Aliases

arxiv: 1111.0144 · arxiv_version: 1111.0144v4 · doi: 10.48550/arxiv.1111.0144 · pith_short_12: 24VWN45YX2WY · pith_short_16: 24VWN45YX2WYHEIF · pith_short_8: 24VWN45Y

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/24VWN45YX2WYHEIFIUEDEMKOXB \
  | 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: d72b66f3b8bead839105450832314eb84c031da6e398def515bfe0e837fba7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "879b1e0922e1c7ac0778b9cf4de5fd75d5adc269458041800346a96225066ed2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-01T08:41:16Z",
    "title_canon_sha256": "ab3317c0962b9553ddc7ffcbe2b8d7bb16b80227f0242efe8dd4a35ebbaa937e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0144",
    "kind": "arxiv",
    "version": 4
  }
}