Pith Number

pith:YSIX27XI

pith:2021:YSIX27XIWNNEYEWIYZ43KCYDCU

not attested not anchored not stored refs pending

Distribution-free tests of multivariate independence based on center-outward quadrant, Spearman, Kendall, and van der Waerden statistics

Fang Han, Hongjian Shi, Marc Hallin, Mathias Drton

arxiv:2111.15567 v5 · 2021-11-30 · 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{YSIX27XIWNNEYEWIYZ43KCYDCU}

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	2026-07-05T09:05:07.935790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4917d7ee8b35a4c12c8c679b50b031515152d7da55ae1190a1289f4fe1c19b0

Aliases

arxiv: 2111.15567 · arxiv_version: 2111.15567v5 · doi: 10.48550/arxiv.2111.15567 · pith_short_12: YSIX27XIWNNE · pith_short_16: YSIX27XIWNNEYEWI · pith_short_8: YSIX27XI

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/YSIX27XIWNNEYEWIYZ43KCYDCU \
  | 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: c4917d7ee8b35a4c12c8c679b50b031515152d7da55ae1190a1289f4fe1c19b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119ef40962fe34998faf130a3a0ef93ec39aedf5e29c82648c76fde66f008c7a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-11-30T17:00:52Z",
    "title_canon_sha256": "5f680a1e0ed7d277879b4eaa227d52a12ca3ffa5e8f34fddcbc5a06a9f2bdc00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15567",
    "kind": "arxiv",
    "version": 5
  }
}