Pith Number

pith:R3RU3RI3

pith:2012:R3RU3RI3FDVXBWUVDSUL5MMW2T

not attested not anchored not stored refs pending

Fourth Moment Theorem and q-Brownian Chaos

Aur\'elien Deya (IECN), Ivan Nourdin (IECN), Salim Noreddine (LPMA)

arxiv:1202.2545 v1 · 2012-02-12 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3RU3RI3FDVXBWUVDSUL5MMW2T}

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	2026-05-18T01:58:30.902916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee34dc51b28eb70da951ca8beb196d4c30f260d8b8a6b70d672f8860b9130ab

Aliases

arxiv: 1202.2545 · arxiv_version: 1202.2545v1 · doi: 10.48550/arxiv.1202.2545 · pith_short_12: R3RU3RI3FDVX · pith_short_16: R3RU3RI3FDVXBWUV · pith_short_8: R3RU3RI3

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/R3RU3RI3FDVXBWUVDSUL5MMW2T \
  | 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: 8ee34dc51b28eb70da951ca8beb196d4c30f260d8b8a6b70d672f8860b9130ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aafff46286c80f5488e6fa50d4ec319e34bd91a2491b2ae57b74c85861fc2e8",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-12T17:08:40Z",
    "title_canon_sha256": "4acdc68e3ca10efb0ab79946b91ac161956e3a2dced432c33ff9271ade76cf4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2545",
    "kind": "arxiv",
    "version": 1
  }
}