Pith Number

pith:ATZ22GMU

pith:2012:ATZ22GMURKF7BB6SF6SHY7QQPS

not attested not anchored not stored refs pending

Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field

Leonid Petrov

arxiv:1206.5123 v3 · 2012-06-22 · math.PR · math-ph · math.CO · 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{ATZ22GMURKF7BB6SF6SHY7QQPS}

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.

Cited by

1 paper in Pith

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Receipt and verification

First computed	2026-05-18T02:29:53.393351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f3ad19948a8bf087d22fa47c7e107c8ef23cd6cc7633a568374646e0277f65

Aliases

arxiv: 1206.5123 · arxiv_version: 1206.5123v3 · doi: 10.48550/arxiv.1206.5123 · pith_short_12: ATZ22GMURKF7 · pith_short_16: ATZ22GMURKF7BB6S · pith_short_8: ATZ22GMU

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/ATZ22GMURKF7BB6SF6SHY7QQPS \
  | 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: 04f3ad19948a8bf087d22fa47c7e107c8ef23cd6cc7633a568374646e0277f65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7e33a49ebc79ab0ebb6a1ad3026b06ceba079e210bf11836cef05f77efe6aa",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-22T12:08:05Z",
    "title_canon_sha256": "d17584163d9484bdc97fedfd9a90c3d46d7f329dd537caaa674ddc885fe6c1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5123",
    "kind": "arxiv",
    "version": 3
  }
}