pith. sign in
Pith Number

pith:U7JKHX22

pith:2014:U7JKHX22XCZLNKXK7OO7R4H36Q
not attested not anchored not stored refs pending

Empirical phi-divergence test statistics for testing simple and composite null hypotheses

Leandro Pardo, Narayanaswamy Balakrishnan, Nirian Mart\'in

arxiv:1405.5786 v2 · 2014-05-22 · math.ST · stat.ME · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{U7JKHX22XCZLNKXK7OO7R4H36Q}

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 2026-05-18T02:45:04.051209Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a7d2a3df5ab8b2b6aaeafb9df8f0fbf42d1a88564e6a2974063ce23d0f4faa10

Aliases

arxiv: 1405.5786 · arxiv_version: 1405.5786v2 · doi: 10.48550/arxiv.1405.5786 · pith_short_12: U7JKHX22XCZL · pith_short_16: U7JKHX22XCZLNKXK · pith_short_8: U7JKHX22
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/U7JKHX22XCZLNKXK7OO7R4H36Q \
  | 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: a7d2a3df5ab8b2b6aaeafb9df8f0fbf42d1a88564e6a2974063ce23d0f4faa10
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "355d24a832255b0db4dc1be7f81286fdd2e9df7ce12a0ed50d03e263d4a6b6ff",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-05-22T15:08:18Z",
    "title_canon_sha256": "461566187997a843c93f3357d496dd53a14c3ce54543f772d22be7ae5220de19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5786",
    "kind": "arxiv",
    "version": 2
  }
}