Pith Number

pith:SGP37IFT

pith:2013:SGP37IFT5ZE2GEG7JCPIQ7HJKO

not attested not anchored not stored refs pending

Entropy and the fourth moment phenomenon

Giovanni Peccati (FSTC), Ivan Nourdin (IECL), Yvik Swan (FSTC)

arxiv:1304.1255 v2 · 2013-04-04 · math.PR · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGP37IFT5ZE2GEG7JCPIQ7HJKO}

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	2026-05-18T03:15:43.289298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

919fbfa0b3ee49a310df489e887ce95384dcce6aab829559e91f969b057e074b

Aliases

arxiv: 1304.1255 · arxiv_version: 1304.1255v2 · doi: 10.48550/arxiv.1304.1255 · pith_short_12: SGP37IFT5ZE2 · pith_short_16: SGP37IFT5ZE2GEG7 · pith_short_8: SGP37IFT

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/SGP37IFT5ZE2GEG7JCPIQ7HJKO \
  | 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: 919fbfa0b3ee49a310df489e887ce95384dcce6aab829559e91f969b057e074b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd91a80d17f832128c674a523ccafc1ddcb649e33c01eca24ffc149fc82c631",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-04T06:51:51Z",
    "title_canon_sha256": "1b79b7ab287693158fed6318825b97a7b7ae28d6575b6d2b60a7194e180a67cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1255",
    "kind": "arxiv",
    "version": 2
  }
}