Pith Number

pith:DK5Z2QAK

pith:2014:DK5Z2QAKGTSBHUUBMG7W6GSAYM

not attested not anchored not stored refs pending

A multivariate CLT for bounded decomposable random vectors with the best known rate

Xiao Fang

arxiv:1408.0508 v2 · 2014-08-03 · 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{DK5Z2QAKGTSBHUUBMG7W6GSAYM}

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	2026-05-18T02:07:27.045220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abb9d400a34e413d28161bf6f1a40c30882e2f1e88c3d6bb76aaba19bc0991b

Aliases

arxiv: 1408.0508 · arxiv_version: 1408.0508v2 · doi: 10.48550/arxiv.1408.0508 · pith_short_12: DK5Z2QAKGTSB · pith_short_16: DK5Z2QAKGTSBHUUB · pith_short_8: DK5Z2QAK

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/DK5Z2QAKGTSBHUUBMG7W6GSAYM \
  | 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: 1abb9d400a34e413d28161bf6f1a40c30882e2f1e88c3d6bb76aaba19bc0991b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c06f382e4a980303bc2a7af943f8507aeb771f4edf7af885fe8cbecaaaaa2649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-03T16:34:45Z",
    "title_canon_sha256": "ce9a225457334c894ec4622c70ec2994e6af64e7f499737de7aeea740aa94eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0508",
    "kind": "arxiv",
    "version": 2
  }
}