Pith Number

pith:KZLTI5VG

pith:2018:KZLTI5VGCRFFAV53RLVV7HOOVG

not attested not anchored not stored refs pending

Cauchy combination test: a powerful test with analytic p-value calculation under arbitrary dependency structures

Jun Xie, Yaowu Liu

arxiv:1808.09011 v2 · 2018-08-27 · stat.ME · 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{KZLTI5VGCRFFAV53RLVV7HOOVG}

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	2026-05-17T23:59:38.419617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56573476a6144a5057bb8aeb5f9dcea9952040b40fada878f44708c8ae8a7347

Aliases

arxiv: 1808.09011 · arxiv_version: 1808.09011v2 · doi: 10.48550/arxiv.1808.09011 · pith_short_12: KZLTI5VGCRFF · pith_short_16: KZLTI5VGCRFFAV53 · pith_short_8: KZLTI5VG

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/KZLTI5VGCRFFAV53RLVV7HOOVG \
  | 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: 56573476a6144a5057bb8aeb5f9dcea9952040b40fada878f44708c8ae8a7347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0457143e3439db7f87b280c16c123b00624fa69e2e15546ee14840a8ddb35268",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2018-08-27T19:38:16Z",
    "title_canon_sha256": "85764b60a62e6f56ea1530bdc627a8fe7518f890430d62f9e3d8878eca411582"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09011",
    "kind": "arxiv",
    "version": 2
  }
}