Pith Number

pith:U5LQCX5A

pith:2015:U5LQCX5AUGSQ52BDS2NOHV2KYJ

not attested not anchored not stored refs pending

Liouville Quantum Gravity on the complex tori

Fran\c{c}ois David, R\'emi Rhodes, Vincent Vargas

arxiv:1504.00625 v1 · 2015-04-02 · 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{U5LQCX5AUGSQ52BDS2NOHV2KYJ}

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	2026-05-18T01:20:36.642176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a757015fa0a1a50ee823969ae3d74ac24d180c5a8717ba4d0d1bae8d10107e54

Aliases

arxiv: 1504.00625 · arxiv_version: 1504.00625v1 · doi: 10.48550/arxiv.1504.00625 · pith_short_12: U5LQCX5AUGSQ · pith_short_16: U5LQCX5AUGSQ52BD · pith_short_8: U5LQCX5A

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/U5LQCX5AUGSQ52BDS2NOHV2KYJ \
  | 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: a757015fa0a1a50ee823969ae3d74ac24d180c5a8717ba4d0d1bae8d10107e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a38c8eebeabc2dcdf0706ac7df7a41c77131f0678af3d362d68956574c6b7fa4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-02T17:43:03Z",
    "title_canon_sha256": "6b95bd84e825acd7cb03b6cae7630aa696713ac39969a8806c431ccafb950020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00625",
    "kind": "arxiv",
    "version": 1
  }
}