Pith Number

pith:R2Q76LVB

pith:2012:R2Q76LVBVM2YLU2L5M7IDVRKEP

not attested not anchored not stored refs pending

Quantum gravity and the KPZ formula

Christophe Garban

arxiv:1206.0212 v1 · 2012-06-01 · math.PR · math-ph · math.CO · 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{R2Q76LVBVM2YLU2L5M7IDVRKEP}

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	2026-05-18T03:54:26.805990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea1ff2ea1ab3585d34beb3e81d62a23dd5b58b08fc4830a11439ebf98113261

Aliases

arxiv: 1206.0212 · arxiv_version: 1206.0212v1 · doi: 10.48550/arxiv.1206.0212 · pith_short_12: R2Q76LVBVM2Y · pith_short_16: R2Q76LVBVM2YLU2L · pith_short_8: R2Q76LVB

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/R2Q76LVBVM2YLU2L5M7IDVRKEP \
  | 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: 8ea1ff2ea1ab3585d34beb3e81d62a23dd5b58b08fc4830a11439ebf98113261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6c98ac741c2bcb70b65061224da8704c0ff4b164fc031fd25e8f87256a3044",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-01T14:59:23Z",
    "title_canon_sha256": "ebd0671c13191b8a561342c815d4a23de2a2a081a822a03fd40a94bf3d83af02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0212",
    "kind": "arxiv",
    "version": 1
  }
}