Pith Number

pith:KMCWZJQC

pith:2022:KMCWZJQCJ4WWNMJDYIYQ5WIJXU

not attested not anchored not stored refs pending

Liouville quantum gravity weighted by conformal loop ensemble nesting statistics

Matthis Lehmkuehler, Nina Holden

arxiv:2204.09905 v2 · 2022-04-21 · 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{KMCWZJQCJ4WWNMJDYIYQ5WIJXU}

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.

Receipt and verification

First computed	2026-07-05T09:00:34.049991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53056ca6024f2d66b123c2310ed909bd13ae895b5e79eafd298eb22a4a364cd6

Aliases

arxiv: 2204.09905 · arxiv_version: 2204.09905v2 · doi: 10.48550/arxiv.2204.09905 · pith_short_12: KMCWZJQCJ4WW · pith_short_16: KMCWZJQCJ4WWNMJD · pith_short_8: KMCWZJQC

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/KMCWZJQCJ4WWNMJDYIYQ5WIJXU \
  | 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: 53056ca6024f2d66b123c2310ed909bd13ae895b5e79eafd298eb22a4a364cd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef85a1a9a56589f5cea79403b189f44f5ba4aae2383aecc5f190d4851c71b31",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-04-21T06:27:15Z",
    "title_canon_sha256": "42e9b235986bc648a3bb3fd422b9254b21696069363c23839543442e5f79dae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.09905",
    "kind": "arxiv",
    "version": 2
  }
}