Pith Number

pith:OI3IJL5J

pith:2000:OI3IJL5JNN2GDLXDB4NMVALW6D

not attested not anchored not stored refs pending

Dominos and the Gaussian free field

R. Kenyon

arxiv:math-ph/0002027 v1 · 2000-02-09 · 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{OI3IJL5JNN2GDLXDB4NMVALW6D}

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	2026-07-04T14:33:34.612258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723684afa96b7461aee30f1aca8176f0f294685bfab0ebfa159ff1616d152fc5

Aliases

arxiv: math-ph/0002027 · arxiv_version: math-ph/0002027v1 · doi: 10.48550/arxiv.math-ph/0002027 · pith_short_12: OI3IJL5JNN2G · pith_short_16: OI3IJL5JNN2GDLXD · pith_short_8: OI3IJL5J

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/OI3IJL5JNN2GDLXDB4NMVALW6D \
  | 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: 723684afa96b7461aee30f1aca8176f0f294685bfab0ebfa159ff1616d152fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a62f28ec2434e7253358f8360688586b379345acf4a8cfc0d378d2f61cf4ff",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-02-09T09:18:55Z",
    "title_canon_sha256": "111128a1e096a1d34ac6f160fa3af279a034f6ea713ba430eb23f3ad4a883d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0002027",
    "kind": "arxiv",
    "version": 1
  }
}