Pith Number

pith:GNBEFPUH

pith:2015:GNBEFPUH2KUTCPYGTG3MV3FALM

not attested not anchored not stored refs pending

Two-Sample Smooth Tests for the Equality of Distributions

Chao Zheng, Wen-Xin Zhou, Zhen Zhang

arxiv:1509.03459 v2 · 2015-09-11 · math.ST · stat.ME · 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{GNBEFPUH2KUTCPYGTG3MV3FALM}

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	2026-05-18T01:33:15.007392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334242be87d2a9313f0699b6caeca05b3477f6d735dcf4e0c83887e0c32b6602

Aliases

arxiv: 1509.03459 · arxiv_version: 1509.03459v2 · doi: 10.48550/arxiv.1509.03459 · pith_short_12: GNBEFPUH2KUT · pith_short_16: GNBEFPUH2KUTCPYG · pith_short_8: GNBEFPUH

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/GNBEFPUH2KUTCPYGTG3MV3FALM \
  | 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: 334242be87d2a9313f0699b6caeca05b3477f6d735dcf4e0c83887e0c32b6602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d0bf628994a4cb48a917698e393daeabf1d26a7f7aff34eb61305f9b989a25",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-09-11T11:10:56Z",
    "title_canon_sha256": "32e2e01f36b493a6d70c8785ce18c95705b8f39c1f3d1ec944d692fe6a7d626f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03459",
    "kind": "arxiv",
    "version": 2
  }
}