Pith Number

pith:POLVH4XB

pith:2021:POLVH4XB5UYH75PZC23CNLUR5U

not attested not anchored not stored refs pending

Power analysis for cluster randomized trials with continuous co-primary endpoints

Fan Li, Mirjam Moerbeek, Monica Taljaard, Siyun Yang

arxiv:2112.01981 v2 · 2021-12-03 · 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{POLVH4XB5UYH75PZC23CNLUR5U}

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	2026-07-05T04:19:04.401606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9753f2e1ed307ff5f916b626ae91ed141a74b1aa573ac9149f79d4e8410466

Aliases

arxiv: 2112.01981 · arxiv_version: 2112.01981v2 · doi: 10.48550/arxiv.2112.01981 · pith_short_12: POLVH4XB5UYH · pith_short_16: POLVH4XB5UYH75PZ · pith_short_8: POLVH4XB

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/POLVH4XB5UYH75PZC23CNLUR5U \
  | 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: 7b9753f2e1ed307ff5f916b626ae91ed141a74b1aa573ac9149f79d4e8410466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d3393d33a2e96be7e2c7ae645f983d5f99244ff796a4ab80decff958b5e61d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-12-03T15:51:23Z",
    "title_canon_sha256": "ca02409bbf969a79d34ccfb70ae34aaa27900ff7e083331008fed19ceca78422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01981",
    "kind": "arxiv",
    "version": 2
  }
}