Pith Number

pith:GMLLNUA6

pith:2013:GMLLNUA6RQ7Q7HL7LLJD6VXWQP

not attested not anchored not stored refs pending

Diffusion in planar Liouville quantum gravity

Nathanael Berestycki

arxiv:1301.3356 v1 · 2013-01-15 · 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{GMLLNUA6RQ7Q7HL7LLJD6VXWQP}

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	2026-05-18T03:36:25.745837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3316b6d01e8c3f0f9d7f5ad23f56f683e36329ea493ed81cd16e5d0903fb95cc

Aliases

arxiv: 1301.3356 · arxiv_version: 1301.3356v1 · doi: 10.48550/arxiv.1301.3356 · pith_short_12: GMLLNUA6RQ7Q · pith_short_16: GMLLNUA6RQ7Q7HL7 · pith_short_8: GMLLNUA6

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/GMLLNUA6RQ7Q7HL7LLJD6VXWQP \
  | 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: 3316b6d01e8c3f0f9d7f5ad23f56f683e36329ea493ed81cd16e5d0903fb95cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa72eca70302b2b7f25ae310f1e19fe6248e4b864592f01b066710a277b3b502",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-15T14:22:29Z",
    "title_canon_sha256": "189d35b60bc2c9895da5551c35e7fbfd905cae491228708926d3226e2dd98344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3356",
    "kind": "arxiv",
    "version": 1
  }
}