Pith Number

pith:AT3ZTM4K

pith:2012:AT3ZTM4KDWCTYANK63CZD65CAO

not attested not anchored not stored refs pending

Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula

Bertrand Duplantier (IPHT), R\'emi Rhodes (CEREMADE), Scott Sheffield (MIT), Vincent Vargas (CEREMADE)

arxiv:1212.0529 v3 · 2012-12-03 · 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{AT3ZTM4KDWCTYANK63CZD65CAO}

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	2026-05-18T03:12:22.443808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f799b38a1d853c01aaf6c591fba203bd8a707b1332eb14746e1acbf47922a2

Aliases

arxiv: 1212.0529 · arxiv_version: 1212.0529v3 · doi: 10.48550/arxiv.1212.0529 · pith_short_12: AT3ZTM4KDWCT · pith_short_16: AT3ZTM4KDWCTYANK · pith_short_8: AT3ZTM4K

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/AT3ZTM4KDWCTYANK63CZD65CAO \
  | 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: 04f799b38a1d853c01aaf6c591fba203bd8a707b1332eb14746e1acbf47922a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4eaf47aa9a81e7b04fac049643d186ffc3d686d4dc71492f4157a0fd70bdd83",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-03T20:30:17Z",
    "title_canon_sha256": "364e64443f098325014a1c086b3fde16391bff38bcef915ee9e8fcb7a56841df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0529",
    "kind": "arxiv",
    "version": 3
  }
}