Pith Number

pith:33J7RFWQ

pith:2003:33J7RFWQ7NVPLR3C2NMLLIJIP4

not attested not anchored not stored refs pending

Dimers and Amoebae

Andrei Okounkov, Richard Kenyon, Scott Sheffield

arxiv:math-ph/0311005 v1 · 2003-11-05 · math-ph · hep-th · math.AG · 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{33J7RFWQ7NVPLR3C2NMLLIJIP4}

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	2026-07-04T14:33:58.014969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded3f896d0fb6af5c762d358b5a1287f32022075506388bc0c692bde087ae945

Aliases

arxiv: math-ph/0311005 · arxiv_version: math-ph/0311005v1 · doi: 10.48550/arxiv.math-ph/0311005 · pith_short_12: 33J7RFWQ7NVP · pith_short_16: 33J7RFWQ7NVPLR3C · pith_short_8: 33J7RFWQ

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/33J7RFWQ7NVPLR3C2NMLLIJIP4 \
  | 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: ded3f896d0fb6af5c762d358b5a1287f32022075506388bc0c692bde087ae945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ebaae380bd472d242e763ae198a342ab2e317dcd20c8abae1dce9a24a3b4ca",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-11-05T16:10:53Z",
    "title_canon_sha256": "4be13524a0ce264a41b32993a2c47c304d4e937d8c5dd2293d24b4125db855dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0311005",
    "kind": "arxiv",
    "version": 1
  }
}