Pith Number

pith:ZO7C6ZZZ

pith:2025:ZO7C6ZZZBZIGQC3V73HC3I22JI

not attested not anchored not stored refs pending

A comparison of methods for designing hybrid type 2 cluster-randomized trials with continuous effectiveness and implementation endpoints

Donna Spiegelman, Fan Li, Melody Owen, Ruyi Liu

arxiv:2510.20741 v2 · 2025-10-23 · stat.ME · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO7C6ZZZBZIGQC3V73HC3I22JI}

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	2026-05-20T00:00:26.522970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbe2f67390e50680b75fece2da35a4a094b09b6b7b3eecc3c29dcbf7c6c83d2

Aliases

arxiv: 2510.20741 · arxiv_version: 2510.20741v2 · doi: 10.48550/arxiv.2510.20741 · pith_short_12: ZO7C6ZZZBZIG · pith_short_16: ZO7C6ZZZBZIGQC3V · pith_short_8: ZO7C6ZZZ

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/ZO7C6ZZZBZIGQC3V73HC3I22JI \
  | 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: cbbe2f67390e50680b75fece2da35a4a094b09b6b7b3eecc3c29dcbf7c6c83d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49f0a76647143f59aabdc7c8cc90758a0efaffc1fee2c7a65675a2901aca41f",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-10-23T17:00:15Z",
    "title_canon_sha256": "882b357e7ee03dbd4d19cac7ad1fa5a2dc37a3b022d9df5fa42845764010acaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.20741",
    "kind": "arxiv",
    "version": 2
  }
}