Pith Number

pith:6VKBYAJV

pith:2012:6VKBYAJVMFOSIFWJTVCJ3ZINVU

not attested not anchored not stored refs pending

ANOVA for longitudinal data with missing values

Ping-Shou Zhong, Song Xi Chen

arxiv:1211.2979 v1 · 2012-11-13 · 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{6VKBYAJVMFOSIFWJTVCJ3ZINVU}

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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	2026-05-18T03:40:52.179038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5541c0135615d2416c99d449de50dad0fded7e7224e8851a27922198f3a15ae

Aliases

arxiv: 1211.2979 · arxiv_version: 1211.2979v1 · doi: 10.48550/arxiv.1211.2979 · pith_short_12: 6VKBYAJVMFOS · pith_short_16: 6VKBYAJVMFOSIFWJ · pith_short_8: 6VKBYAJV

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/6VKBYAJVMFOSIFWJTVCJ3ZINVU \
  | 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: f5541c0135615d2416c99d449de50dad0fded7e7224e8851a27922198f3a15ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004a9cf220dcc2ddcabecd81f9812803051283b6ba8ebe572f351fdb7656ca7c",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-13T13:16:36Z",
    "title_canon_sha256": "c2fec566ed59c9a2d68db7cae8bfc3db4c7e66f9f7dd08a2aa55ea5b74f3b948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2979",
    "kind": "arxiv",
    "version": 1
  }
}