Pith Number

pith:UGNGPUII

pith:2012:UGNGPUIIC5IIJB2VQUXN364Z4P

not attested not anchored not stored refs pending

Random curves on surfaces induced from the Laplacian determinant

Adrien Kassel, Richard Kenyon

arxiv:1211.6974 v2 · 2012-11-29 · 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{UGNGPUIIC5IIJB2VQUXN364Z4P}

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	2026-05-18T00:47:00.046280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19a67d1081750848755852eddfb99e3ced41ad5728a403d2d2cbabf0f2fc81b

Aliases

arxiv: 1211.6974 · arxiv_version: 1211.6974v2 · doi: 10.48550/arxiv.1211.6974 · pith_short_12: UGNGPUIIC5II · pith_short_16: UGNGPUIIC5IIJB2V · pith_short_8: UGNGPUII

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/UGNGPUIIC5IIJB2VQUXN364Z4P \
  | 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: a19a67d1081750848755852eddfb99e3ced41ad5728a403d2d2cbabf0f2fc81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4122d5e2ec306653ad8db7ededf1d73f009b2fb2fd93cf52bb59b87f4c99228b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-29T16:40:23Z",
    "title_canon_sha256": "4f7018c854431891e8b1f1a9dd0734007842bb8e1200b039bfdf293d86208fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6974",
    "kind": "arxiv",
    "version": 2
  }
}