Pith Number

pith:JX5N7CGD

pith:2012:JX5N7CGD32TLCMDUQLYRQYB5VA

not attested not anchored not stored refs pending

Gaussian multiplicative chaos and KPZ duality

Julien Barral (LAGA), R\'emi Rhodes (CEREMADE), Vincent Vargas (CEREMADE), Xiong Jin

arxiv:1202.5296 v4 · 2012-02-23 · 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{JX5N7CGD32TLCMDUQLYRQYB5VA}

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	2026-05-18T01:58:20.200788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfadf88c3dea6b1307482f118603da82d0359a64b4fb97394af8af67086874e

Aliases

arxiv: 1202.5296 · arxiv_version: 1202.5296v4 · doi: 10.48550/arxiv.1202.5296 · pith_short_12: JX5N7CGD32TL · pith_short_16: JX5N7CGD32TLCMDU · pith_short_8: JX5N7CGD

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/JX5N7CGD32TLCMDUQLYRQYB5VA \
  | 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: 4dfadf88c3dea6b1307482f118603da82d0359a64b4fb97394af8af67086874e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf138b3ea822c0518912337bb3d8234663fbfe2e0a44ce232f1429c098fda40",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-23T20:46:55Z",
    "title_canon_sha256": "f12cac937e55015fba73cca863695e0369f3623ba7f6f239f6c44437740321d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5296",
    "kind": "arxiv",
    "version": 4
  }
}