Pith Number

pith:HJY76YI2

pith:2019:HJY76YI2MW3CRX4YRKDWSA43JD

not attested not anchored not stored refs pending

KPZ formulas for the Liouville quantum gravity metric

Ewain Gwynne, Joshua Pfeffer

arxiv:1905.11790 v3 · 2019-05-28 · 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{HJY76YI2MW3CRX4YRKDWSA43JD}

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	2026-07-05T00:28:49.020954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a71ff611a65b628df988a8769039b48ea9a7c1a849bfb4a530347b854c50990

Aliases

arxiv: 1905.11790 · arxiv_version: 1905.11790v3 · doi: 10.48550/arxiv.1905.11790 · pith_short_12: HJY76YI2MW3C · pith_short_16: HJY76YI2MW3CRX4Y · pith_short_8: HJY76YI2

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/HJY76YI2MW3CRX4YRKDWSA43JD \
  | 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: 3a71ff611a65b628df988a8769039b48ea9a7c1a849bfb4a530347b854c50990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3c3bc64509c9858a606f1de3022a006337acd438cc1bace7b43797fbd64f58b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-28T13:10:55Z",
    "title_canon_sha256": "0ac71bea7ca8126e910644f3a48956f051ea80fcba30bcf75c04e6542984e39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11790",
    "kind": "arxiv",
    "version": 3
  }
}