Pith Number

pith:P2LHGC3Q

pith:2018:P2LHGC3Q7JOETZ533YES7Q4N2F

not attested not anchored not stored refs pending

The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $\sqrt{8/3}$-Liouville quantum gravity

Ewain Gwynne, Jason Miller, Scott Sheffield

arxiv:1809.02091 v3 · 2018-09-06 · math.PR · math-ph · math.CV · 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{P2LHGC3Q7JOETZ533YES7Q4N2F}

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	2026-07-05T00:06:21.172917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e96730b70fa5c49e7bbde092fc38dd15439f93ebf2f9dfc40490f048327f9ac

Aliases

arxiv: 1809.02091 · arxiv_version: 1809.02091v3 · doi: 10.48550/arxiv.1809.02091 · pith_short_12: P2LHGC3Q7JOE · pith_short_16: P2LHGC3Q7JOETZ53 · pith_short_8: P2LHGC3Q

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/P2LHGC3Q7JOETZ533YES7Q4N2F \
  | 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: 7e96730b70fa5c49e7bbde092fc38dd15439f93ebf2f9dfc40490f048327f9ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd38da6fe91065193deffeb81970a8285c2d25c0777f24592577315e17ba722",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-06T17:02:04Z",
    "title_canon_sha256": "b1548e55a09b3cff7d4b0fd718c1e0484969416bf62b9b71a8bd5deb8bf17234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02091",
    "kind": "arxiv",
    "version": 3
  }
}