Pith Number

pith:YXCZQPZ5

pith:2026:YXCZQPZ52EMMSUN3GJQDG3TSW7

not attested not anchored not stored refs pending

A Bayesian predictive framework for adaptive interim-analysis timing with robust borrowing in confirmatory trials

Cong Zhang, Jiali Song, Leen Huang, Meihua Long, Qimeng Che, Tianyu Zheng, Yan Hou

arxiv:2607.04205 v1 · 2026-07-05 · 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{YXCZQPZ52EMMSUN3GJQDG3TSW7}

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	2026-07-07T02:19:02.969300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c5983f3dd118c951bb3260336e72b7e36265abc6d81a10e9cd99a2a4ae8d49

Aliases

arxiv: 2607.04205 · arxiv_version: 2607.04205v1 · doi: 10.48550/arxiv.2607.04205 · pith_short_12: YXCZQPZ52EMM · pith_short_16: YXCZQPZ52EMMSUN3 · pith_short_8: YXCZQPZ5

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/YXCZQPZ52EMMSUN3GJQDG3TSW7 \
  | 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: c5c5983f3dd118c951bb3260336e72b7e36265abc6d81a10e9cd99a2a4ae8d49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "072793ae717f9053634edc9a33fbba8d32644e3ffe03d8361a57d97240910ab1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2026-07-05T09:53:35Z",
    "title_canon_sha256": "b0a8a6ef651651c739c7b32ab8bc7fd9b015455dac82ac32e84a6374b0503e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04205",
    "kind": "arxiv",
    "version": 1
  }
}