Pith Number

pith:DHQ5Z4ZN

pith:2013:DHQ5Z4ZNLXF6BRQO3AP4OTK33Q

not attested not anchored not stored refs pending

Change in the mean in the domain of attraction of the normal law via Darling-Erd\H{o}s theorems

Miklos Csorgo, Zhishui Hu

arxiv:1304.1370 v1 · 2013-04-04 · 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{DHQ5Z4ZNLXF6BRQO3AP4OTK33Q}

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	2026-05-18T03:28:56.982054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19e1dcf32d5dcbe0c60ed81fc74d5bdc254d555ac5c7fea27b52bad91df64b24

Aliases

arxiv: 1304.1370 · arxiv_version: 1304.1370v1 · doi: 10.48550/arxiv.1304.1370 · pith_short_12: DHQ5Z4ZNLXF6 · pith_short_16: DHQ5Z4ZNLXF6BRQO · pith_short_8: DHQ5Z4ZN

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/DHQ5Z4ZNLXF6BRQO3AP4OTK33Q \
  | 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: 19e1dcf32d5dcbe0c60ed81fc74d5bdc254d555ac5c7fea27b52bad91df64b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a6c27b58dd4531725ad26c4b86966bc38cf7697959e0455fe093551d29e7e0c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-04-04T14:14:12Z",
    "title_canon_sha256": "edceb689560079146ba3f3a189b24910581cee0557c952ecc26509330bc3ac49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1370",
    "kind": "arxiv",
    "version": 1
  }
}