Pith Number

pith:Y4ADPXZN

pith:2012:Y4ADPXZNDRSDTKVVRW34WLVYME

not attested not anchored not stored refs pending

Stein's method for Brownian approximations

Laure Coutin, Laurent Decreusefond (LTCI)

arxiv:1207.3517 v2 · 2012-07-15 · 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{Y4ADPXZNDRSDTKVVRW34WLVYME}

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	2026-05-18T00:09:42.642664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70037df2d1c6439aab58db7cb2eb8613c0b4b6a9754a6ea9e2ed729f6e806e5

Aliases

arxiv: 1207.3517 · arxiv_version: 1207.3517v2 · doi: 10.48550/arxiv.1207.3517 · pith_short_12: Y4ADPXZNDRSD · pith_short_16: Y4ADPXZNDRSDTKVV · pith_short_8: Y4ADPXZN

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/Y4ADPXZNDRSDTKVVRW34WLVYME \
  | 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: c70037df2d1c6439aab58db7cb2eb8613c0b4b6a9754a6ea9e2ed729f6e806e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33e82ebf09a07fd7096be1cc8810cfe37412553397f76c82eaa7b931671c374e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-15T14:59:57Z",
    "title_canon_sha256": "87c1a7a3e6beefbc5ed6432ac78475d536c840bea356b9811dc1b0368b6f1af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3517",
    "kind": "arxiv",
    "version": 2
  }
}