Pith Number

pith:FDCK74ML

pith:2021:FDCK74MLOBHJ3ULZGDKE3D7OBR

not attested not anchored not stored refs pending

Power considerations for generalized estimating equations analyses of four-level cluster randomized trials

Elizabeth L. Turner, Fan Li, John S. Preisser, Xueqi Wang

arxiv:2108.11466 v3 · 2021-08-25 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDCK74MLOBHJ3ULZGDKE3D7OBR}

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	2026-07-05T04:54:15.544455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c4aff18b704e9dd17930d44d8fee0c784d2c3dc9b23df48a35294e70f861c5

Aliases

arxiv: 2108.11466 · arxiv_version: 2108.11466v3 · doi: 10.48550/arxiv.2108.11466 · pith_short_12: FDCK74MLOBHJ · pith_short_16: FDCK74MLOBHJ3ULZ · pith_short_8: FDCK74ML

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/FDCK74MLOBHJ3ULZGDKE3D7OBR \
  | 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: 28c4aff18b704e9dd17930d44d8fee0c784d2c3dc9b23df48a35294e70f861c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99c4bf1559b3281694632af4eb3f797e7575e44496a0f928fdb2d392138d788",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-08-25T20:41:52Z",
    "title_canon_sha256": "0e8d4c516fedebbc12de269768c75ecb7a9040135044fdb4157ac68b147add78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11466",
    "kind": "arxiv",
    "version": 3
  }
}