Pith Number

pith:Q3VYBJDE

pith:2003:Q3VYBJDEVL5RL7J732HIW3QBJZ

not attested not anchored not stored refs pending

Random Surfaces

Scott Sheffield

arxiv:math/0304049 v3 · 2003-04-03 · 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{Q3VYBJDEVL5RL7J732HIW3QBJZ}

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

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures

Receipt and verification

First computed	2026-07-04T14:49:41.667810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86eb80a464aafb15fd3fde8e8b6e014e6510ec637b2144d0331a411dcdfe6920

Aliases

arxiv: math/0304049 · arxiv_version: math/0304049v3 · doi: 10.48550/arxiv.math/0304049 · pith_short_12: Q3VYBJDEVL5R · pith_short_16: Q3VYBJDEVL5RL7J7 · pith_short_8: Q3VYBJDE

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/Q3VYBJDEVL5RL7J732HIW3QBJZ \
  | 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: 86eb80a464aafb15fd3fde8e8b6e014e6510ec637b2144d0331a411dcdfe6920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b75b2c47633f9206d316f917c01fca367ea5d18fe2c0206193852f1945cca25",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-04-03T20:51:18Z",
    "title_canon_sha256": "112df11250bcafa1a8e6430beafc78f9301a47c937866311f8acd8cb4391f426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304049",
    "kind": "arxiv",
    "version": 3
  }
}