Pith Number

pith:Y2T4QROL

pith:2012:Y2T4QROLCUEC2TMAHDCHYCDBO2

not attested not anchored not stored refs pending

Critical Gaussian multiplicative chaos: Convergence of the derivative martingale

Bertrand Duplantier, R\'emi Rhodes, Scott Sheffield, Vincent Vargas

arxiv:1206.1671 v3 · 2012-06-08 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2T4QROLCUEC2TMAHDCHYCDBO2}

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	2026-05-18T01:09:28.546181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a7c845cb15082d4d8038c47c086176b102c1ec43105ea6aad82b72ff8089a1

Aliases

arxiv: 1206.1671 · arxiv_version: 1206.1671v3 · doi: 10.48550/arxiv.1206.1671 · pith_short_12: Y2T4QROLCUEC · pith_short_16: Y2T4QROLCUEC2TMA · pith_short_8: Y2T4QROL

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/Y2T4QROLCUEC2TMAHDCHYCDBO2 \
  | 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: c6a7c845cb15082d4d8038c47c086176b102c1ec43105ea6aad82b72ff8089a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4da1cc44961ae6fd22eed0b6260d805e7e7566dfcc5f43f55db8ab1662bdae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-08T06:08:39Z",
    "title_canon_sha256": "d6b5c508d7836775d5fe5152889ee6608957c0f624f009fd721c53d90a009458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1671",
    "kind": "arxiv",
    "version": 3
  }
}