Pith Number

pith:PCNNBF2Z

pith:2016:PCNNBF2ZXIK6RYT4RUO6M6W52Y

not attested not anchored not stored refs pending

Nonparametric Heterogeneity Testing For Massive Data

Guang Cheng, Han Liu, Junwei Lu

arxiv:1601.06212 v1 · 2016-01-23 · 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{PCNNBF2ZXIK6RYT4RUO6M6W52Y}

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	2026-05-18T01:22:05.098914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789ad09759ba15e8e27c8d1de67addd618fd1a001a970ce682aa0228b925fe25

Aliases

arxiv: 1601.06212 · arxiv_version: 1601.06212v1 · doi: 10.48550/arxiv.1601.06212 · pith_short_12: PCNNBF2ZXIK6 · pith_short_16: PCNNBF2ZXIK6RYT4 · pith_short_8: PCNNBF2Z

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/PCNNBF2ZXIK6RYT4RUO6M6W52Y \
  | 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: 789ad09759ba15e8e27c8d1de67addd618fd1a001a970ce682aa0228b925fe25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742179a9aaaed13044ae3cda52941b1274e0dfca2cdf3890fa47b99e60d512f1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-01-23T00:34:19Z",
    "title_canon_sha256": "767ad1c71b14fc1265bdd8edc440ff925454515675e026a93294062818a2b3ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06212",
    "kind": "arxiv",
    "version": 1
  }
}