Pith Number

pith:4UNALIU5

pith:2014:4UNALIU5HDDU4VALV43U3DD5OD

not attested not anchored not stored refs pending

On testing the equality of high dimensional mean vectors with unequal covariance matrices

Chen Wang, Jiang Hu, Wei Wang, Zhidong Bai

arxiv:1406.6569 v2 · 2014-06-25 · 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{4UNALIU5HDDU4VALV43U3DD5OD}

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	2026-05-18T02:17:52.095993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e51a05a29d38c74e540baf374d8c7d70da3e3a44654523eac5a6aa49e491d6d8

Aliases

arxiv: 1406.6569 · arxiv_version: 1406.6569v2 · doi: 10.48550/arxiv.1406.6569 · pith_short_12: 4UNALIU5HDDU · pith_short_16: 4UNALIU5HDDU4VAL · pith_short_8: 4UNALIU5

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/4UNALIU5HDDU4VALV43U3DD5OD \
  | 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: e51a05a29d38c74e540baf374d8c7d70da3e3a44654523eac5a6aa49e491d6d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c02c3b0ae913ecfe37ac6e82929d62afac87e142aef99f7fde1aabb4e79e5aa",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-06-25T13:52:00Z",
    "title_canon_sha256": "a556e79f227b20dddb1f717192bd9a33e56ea1de7db2a8230f52501872e9e5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6569",
    "kind": "arxiv",
    "version": 2
  }
}