Pith Number

pith:QCHS7OFE

pith:2014:QCHS7OFEJENM2LFNGSTQOLB3U5

not attested not anchored not stored refs pending

A Generalization of an Integral Arising in the Theory of Distance Correlation

Dominic Edelmann, Donald Richards, Johannes Dueck

arxiv:1411.1312 v3 · 2014-11-05 · 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{QCHS7OFEJENM2LFNGSTQOLB3U5}

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	2026-05-18T02:32:30.454942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808f2fb8a4491acd2cad34a7072c3ba75299944346bd7486f577481c65ac0ac9

Aliases

arxiv: 1411.1312 · arxiv_version: 1411.1312v3 · doi: 10.48550/arxiv.1411.1312 · pith_short_12: QCHS7OFEJENM · pith_short_16: QCHS7OFEJENM2LFN · pith_short_8: QCHS7OFE

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/QCHS7OFEJENM2LFNGSTQOLB3U5 \
  | 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: 808f2fb8a4491acd2cad34a7072c3ba75299944346bd7486f577481c65ac0ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "237c393c77b336a2539bfc645f50bb273c155e3d2a8a42ac7e0447833abe8500",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-11-05T16:25:59Z",
    "title_canon_sha256": "584037dd3f0cecd9a74397eb3e49cea4f6ec591ef4ac94ff11d35170c281c7d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1312",
    "kind": "arxiv",
    "version": 3
  }
}