Pith Number

pith:VROOP6XN

pith:2017:VROOP6XNDA5ZC3G3QGYKQBCJSR

not attested not anchored not stored refs pending

The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity

Ewain Gwynne, Jason Miller, Scott Sheffield

arxiv:1705.11161 v5 · 2017-05-31 · 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{VROOP6XNDA5ZC3G3QGYKQBCJSR}

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

Precision measurements of Hausdorff dimensions in two-dimensional quantum gravity

Receipt and verification

First computed	2026-07-05T02:16:40.194354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac5ce7faed183b916cdb81b0a804499477f4918ed7d4cf1702c645890c3bfd74

Aliases

arxiv: 1705.11161 · arxiv_version: 1705.11161v5 · doi: 10.48550/arxiv.1705.11161 · pith_short_12: VROOP6XNDA5Z · pith_short_16: VROOP6XNDA5ZC3G3 · pith_short_8: VROOP6XN

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/VROOP6XNDA5ZC3G3QGYKQBCJSR \
  | 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: ac5ce7faed183b916cdb81b0a804499477f4918ed7d4cf1702c645890c3bfd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0956f8f567ab1d8f7dbc898d872914b1377f569404e14dfff8334a38e0f3fbf9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-31T16:12:34Z",
    "title_canon_sha256": "9d450fcbf15d54bac7dc604c0609c82068b8888f7d883168a2a60af117a5639a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11161",
    "kind": "arxiv",
    "version": 5
  }
}