Pith Number

pith:U2SZI67L

pith:2011:U2SZI67LQWTNJNFTPP4I3MNQ6E

not attested not anchored not stored refs pending

Discretized normal approximation by Stein's method

Xiao Fang

arxiv:1111.3162 v4 · 2011-11-14 · 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{U2SZI67LQWTNJNFTPP4I3MNQ6E}

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	2026-05-18T02:48:24.850076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6a5947beb85a6d4b4b37bf88db1b0f1253fe0ba259e006a78430778213d9fbe

Aliases

arxiv: 1111.3162 · arxiv_version: 1111.3162v4 · doi: 10.48550/arxiv.1111.3162 · pith_short_12: U2SZI67LQWTN · pith_short_16: U2SZI67LQWTNJNFT · pith_short_8: U2SZI67L

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/U2SZI67LQWTNJNFTPP4I3MNQ6E \
  | 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: a6a5947beb85a6d4b4b37bf88db1b0f1253fe0ba259e006a78430778213d9fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50fd34db68e2f592673b7c8affb9c07aeba5bee8e331258f67404bb9759be32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-14T10:05:04Z",
    "title_canon_sha256": "6c5e47a221805dcea6f4c2ef7bd3290953930a176d18b292300200e719601c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3162",
    "kind": "arxiv",
    "version": 4
  }
}