Pith Number

pith:4HDGZ5I7

pith:2011:4HDGZ5I76RR3SHIBTVCQ5WB2D2

not attested not anchored not stored refs pending

Efficient adaptive designs with mid-course sample size adjustment in clinical trials

Jay Bartroff, Tze Leung Lai

arxiv:1105.3280 v1 · 2011-05-17 · stat.ME · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HDGZ5I76RR3SHIBTVCQ5WB2D2}

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	2026-05-18T04:22:00.271544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c66cf51ff463b91d019d450ed83a1e95241d09c38569012c5ffcaa3bf32b09

Aliases

arxiv: 1105.3280 · arxiv_version: 1105.3280v1 · doi: 10.48550/arxiv.1105.3280 · pith_short_12: 4HDGZ5I76RR3 · pith_short_16: 4HDGZ5I76RR3SHIB · pith_short_8: 4HDGZ5I7

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/4HDGZ5I76RR3SHIBTVCQ5WB2D2 \
  | 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: e1c66cf51ff463b91d019d450ed83a1e95241d09c38569012c5ffcaa3bf32b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2683698054b1bcdfcddb4acfcf72ac410fe7a9c526523fe76f9d103928b671f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-05-17T05:28:39Z",
    "title_canon_sha256": "9851f6f6b98f6a0a85725d734af9049bebfe27069f45c0e046d632e8925b720b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3280",
    "kind": "arxiv",
    "version": 1
  }
}