Pith Number

pith:VSBAOXA5

pith:2000:VSBAOXA5LIWC6IY357N74C5EE3

not attested not anchored not stored refs pending

Local statistics for random domino tilings of the Aztec diamond

Henry Cohn, James Propp, Noam Elkies

arxiv:math/0008243 v1 · 2000-08-31 · math.CO · 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{VSBAOXA5LIWC6IY357N74C5EE3}

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	2026-05-18T04:00:03.012740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac82075c1d5a2c2f231befdbfe0ba426cfda617b1244028e03fabb096552fc33

Aliases

arxiv: math/0008243 · arxiv_version: math/0008243v1 · doi: 10.48550/arxiv.math/0008243 · pith_short_12: VSBAOXA5LIWC · pith_short_16: VSBAOXA5LIWC6IY3 · pith_short_8: VSBAOXA5

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/VSBAOXA5LIWC6IY357N74C5EE3 \
  | 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: ac82075c1d5a2c2f231befdbfe0ba426cfda617b1244028e03fabb096552fc33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b424df4ab4c0fce1ab9885ffdbb5bfb358ca69acf5588cca9b8894cd585ed44e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2000-08-31T20:57:21Z",
    "title_canon_sha256": "bd0a0fb9dc644fef2d753f92aa70e01975a5310e51f6a15b78af88c02714d68b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008243",
    "kind": "arxiv",
    "version": 1
  }
}