Pith Number

pith:TVXZQ7HY

pith:2013:TVXZQ7HYTA5VQ7O3FVNKZQFYNA

not attested not anchored not stored refs pending

The optimal fourth moment theorem

Giovanni Peccati (FSTC), Ivan Nourdin (IECN)

arxiv:1305.1527 v1 · 2013-05-07 · 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{TVXZQ7HYTA5VQ7O3FVNKZQFYNA}

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	2026-05-18T03:26:21.523234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6f987cf8983b587ddb2d5aacc0b86839a2abc0a07268db0378c22d75fe8242

Aliases

arxiv: 1305.1527 · arxiv_version: 1305.1527v1 · doi: 10.48550/arxiv.1305.1527 · pith_short_12: TVXZQ7HYTA5V · pith_short_16: TVXZQ7HYTA5VQ7O3 · pith_short_8: TVXZQ7HY

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/TVXZQ7HYTA5VQ7O3FVNKZQFYNA \
  | 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: 9d6f987cf8983b587ddb2d5aacc0b86839a2abc0a07268db0378c22d75fe8242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e568cae49216005d82d6246c0a83fb8c739ed9581cfa02c43ad9fbb421c2f9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-07T14:13:23Z",
    "title_canon_sha256": "6fa5c9fd3d70d29903ce2d1bb72389afae2c82c2e219416167e6d8d0e1776377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1527",
    "kind": "arxiv",
    "version": 1
  }
}