Pith Number

pith:TG3LRYBF

pith:2010:TG3LRYBF3444WPFZOCMPNLQ5AH

not attested not anchored not stored refs pending

A Berry Esseen Theorem for the Lightbulb Process

Haimeng Zhang, Larry Goldstein

arxiv:1001.0612 v3 · 2010-01-05 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TG3LRYBF3444WPFZOCMPNLQ5AH}

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	2026-05-18T04:28:20.413524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b6b8e025df39cb3cb97098f6ae1d01e6bdbdbc86f2d2859155152e608be847

Aliases

arxiv: 1001.0612 · arxiv_version: 1001.0612v3 · doi: 10.48550/arxiv.1001.0612 · pith_short_12: TG3LRYBF3444 · pith_short_16: TG3LRYBF3444WPFZ · pith_short_8: TG3LRYBF

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/TG3LRYBF3444WPFZOCMPNLQ5AH \
  | 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: 99b6b8e025df39cb3cb97098f6ae1d01e6bdbdbc86f2d2859155152e608be847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4914f5aebc48ada16c1e44604a2f9e20f1f49510f319f1ccba00a239d8df501",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-05T01:09:38Z",
    "title_canon_sha256": "a0d374609b3063abd4507c17ef8b9b68bd32e9fae90c4dfb6eda0612fd541b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0612",
    "kind": "arxiv",
    "version": 3
  }
}