Pith Number

pith:W7AU7NR2

pith:2003:W7AU7NR2S7NXXC2XZDHCDBQKDA

not attested not anchored not stored refs pending

Gaussian free fields for mathematicians

Scott Sheffield

arxiv:math/0312099 v3 · 2003-12-04 · 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{W7AU7NR2S7NXXC2XZDHCDBQKDA}

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 surfaces and Liouville quantum gravity

Receipt and verification

First computed	2026-07-04T14:49:42.870784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c14fb63a97db7b8b57c8ce21860a182df2d728662c1bd2bd5ef82bd4d1bda4

Aliases

arxiv: math/0312099 · arxiv_version: math/0312099v3 · doi: 10.48550/arxiv.math/0312099 · pith_short_12: W7AU7NR2S7NX · pith_short_16: W7AU7NR2S7NXXC2X · pith_short_8: W7AU7NR2

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/W7AU7NR2S7NXXC2XZDHCDBQKDA \
  | 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: b7c14fb63a97db7b8b57c8ce21860a182df2d728662c1bd2bd5ef82bd4d1bda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34300ebf1b84eb4a189a966e6d4720a2407860f97e151170ce424cc3a2d49a5d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-12-04T11:06:29Z",
    "title_canon_sha256": "2bc717007033b0e9f3ffdeed07ef7c31a49c1c7a1a09fed2faed03d7bd01dec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312099",
    "kind": "arxiv",
    "version": 3
  }
}