Pith Number

pith:4VH5B6BA

pith:2017:4VH5B6BA2HHBVFZFD7IJGO6BL3

not attested not anchored not stored refs pending

On Tests for Complete Independence of Normal Random Vectors

Shuhua Chang, Yongcheng Qi

arxiv:1704.01673 v1 · 2017-04-06 · 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{4VH5B6BA2HHBVFZFD7IJGO6BL3}

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	2026-05-18T00:46:54.610381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54fd0f820d1ce1a97251fd0933bc15efca77f63a3d2dd1e12d8f20d4e7db928

Aliases

arxiv: 1704.01673 · arxiv_version: 1704.01673v1 · doi: 10.48550/arxiv.1704.01673 · pith_short_12: 4VH5B6BA2HHB · pith_short_16: 4VH5B6BA2HHBVFZF · pith_short_8: 4VH5B6BA

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/4VH5B6BA2HHBVFZFD7IJGO6BL3 \
  | 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: e54fd0f820d1ce1a97251fd0933bc15efca77f63a3d2dd1e12d8f20d4e7db928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85bd8310201bdb66da821c1c0fab5e915ad42abbe70fdc7e37d977656c97184c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-04-06T00:39:51Z",
    "title_canon_sha256": "b91469393393db8632e2d606469f50d5ddcad225615a245ca4ef056b56290c48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01673",
    "kind": "arxiv",
    "version": 1
  }
}