Pith Number

pith:TFPARUPJ

pith:2021:TFPARUPJGSA3FVYZAZ7ZOLXEGM

not attested not anchored not stored refs pending

On the mixed-model analysis of covariance in cluster-randomized trials

Bingkai Wang, Dylan S. Small, Fan Li, Jiaqi Tong, Michael O. Harhay, Tim P. Morris

arxiv:2112.00832 v3 · 2021-12-01 · stat.ME

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFPARUPJGSA3FVYZAZ7ZOLXEGM}

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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.

Cited by

1 paper in Pith

Asymptotic inference with flexible covariate adjustment under rerandomization and stratified rerandomization

Receipt and verification

First computed	2026-07-05T06:58:35.293570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995e08d1e93481b2d719067f972ee4331620ced82b98d12c3df4c18594e15c85

Aliases

arxiv: 2112.00832 · arxiv_version: 2112.00832v3 · doi: 10.48550/arxiv.2112.00832 · pith_short_12: TFPARUPJGSA3 · pith_short_16: TFPARUPJGSA3FVYZ · pith_short_8: TFPARUPJ

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/TFPARUPJGSA3FVYZAZ7ZOLXEGM \
  | 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: 995e08d1e93481b2d719067f972ee4331620ced82b98d12c3df4c18594e15c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861b322242f64588fc8912a6f6f44f21b9f1a65cada5ed4cb09695a46ab8f2aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-12-01T21:19:27Z",
    "title_canon_sha256": "62889039a8719602844acf3db3e972a9728d458d61a01a813c11cd88e956b16c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00832",
    "kind": "arxiv",
    "version": 3
  }
}