Pith Number

pith:7MDJ6OPX

pith:2016:7MDJ6OPX5ZG6B4ALKS6KRBWGB4

not attested not anchored not stored refs pending

A randomization-based perspective of analysis of variance: a test statistic robust to treatment effect heterogeneity

Peng Ding, Tirthankar Dasgupta

arxiv:1608.01787 v2 · 2016-08-05 · 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{7MDJ6OPX5ZG6B4ALKS6KRBWGB4}

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	2026-05-18T00:39:40.266027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb069f39f7ee4de0f00b54bca886c60f30b9dd64a4629835de30cdc094c3d639

Aliases

arxiv: 1608.01787 · arxiv_version: 1608.01787v2 · doi: 10.48550/arxiv.1608.01787 · pith_short_12: 7MDJ6OPX5ZG6 · pith_short_16: 7MDJ6OPX5ZG6B4AL · pith_short_8: 7MDJ6OPX

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/7MDJ6OPX5ZG6B4ALKS6KRBWGB4 \
  | 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: fb069f39f7ee4de0f00b54bca886c60f30b9dd64a4629835de30cdc094c3d639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06686a39a4e9c58ffbe1a2afb923a7cd86f6456a2f2686ee87afec114f52fa4c",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-08-05T07:41:54Z",
    "title_canon_sha256": "8c67ae85d62813b3d72ce1f6876fec2d78bd36379c291b3e4402d6741dda4c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01787",
    "kind": "arxiv",
    "version": 2
  }
}