Pith Number

pith:UL7TPQDL

pith:2016:UL7TPQDLQKCF2RC7VPW3XMLNRX

not attested not anchored not stored refs pending

Testing mutual independence in high dimension via distance covariance

Shun Yao, Xianyang Zhang, Xiaofeng Shao

arxiv:1609.09380 v2 · 2016-09-29 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL7TPQDLQKCF2RC7VPW3XMLNRX}

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	2026-05-18T00:34:57.755178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2ff37c06b82845d445fabedbbb16d8de3199626b318e4d3868581f848f52087

Aliases

arxiv: 1609.09380 · arxiv_version: 1609.09380v2 · doi: 10.48550/arxiv.1609.09380 · pith_short_12: UL7TPQDLQKCF · pith_short_16: UL7TPQDLQKCF2RC7 · pith_short_8: UL7TPQDL

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/UL7TPQDLQKCF2RC7VPW3XMLNRX \
  | 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: a2ff37c06b82845d445fabedbbb16d8de3199626b318e4d3868581f848f52087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2726896a4b4d24fdd9b5702b3910bb75dee26159cad280a3185bec1f934d980a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-09-29T15:11:43Z",
    "title_canon_sha256": "28dd115eeee754535b6b2171bbed0a4aa592aab6e646377db21ca10346682ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09380",
    "kind": "arxiv",
    "version": 2
  }
}