Pith Number

pith:5R4EF3EI

pith:2025:5R4EF3EIKHMXEONTX22P77WUWM

not attested not anchored not stored refs pending

Sample size and power calculations for causal inference of observational studies

Bo Liu, Chengxin Yang, Fan Li

arxiv:2501.11181 v5 · 2025-01-19 · 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{5R4EF3EIKHMXEONTX22P77WUWM}

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.

Cited by

2 papers in Pith

Externally Controlled Trials: A Review of Design and Borrowing Through a Causal Lens

Estimator-Aligned Prospective Sample Size Determination for Designs Using Inverse Probability of Treatment Weighting

Receipt and verification

First computed	2026-05-20T00:04:07.420629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7842ec8851d97239b3beb4fffed4b332e1aa78a77b2539bcd3334ed2a202b7

Aliases

arxiv: 2501.11181 · arxiv_version: 2501.11181v5 · doi: 10.48550/arxiv.2501.11181 · pith_short_12: 5R4EF3EIKHMX · pith_short_16: 5R4EF3EIKHMXEONT · pith_short_8: 5R4EF3EI

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/5R4EF3EIKHMXEONTX22P77WUWM \
  | 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: ec7842ec8851d97239b3beb4fffed4b332e1aa78a77b2539bcd3334ed2a202b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804c9600f8aade76c78deba4914d30f9bc4a119d36283f628dd4ad0bb244e02c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-01-19T21:44:27Z",
    "title_canon_sha256": "55f716a0b440d72309bcd28f5303bc7a874bca9e467cbb09632f4d5e73fa0dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11181",
    "kind": "arxiv",
    "version": 5
  }
}