Pith Number

pith:TRWLAFBY

pith:2026:TRWLAFBYBYDO3FOL2DQWUCAQV7

not attested not anchored not stored refs pending

CRT*: Conditional Randomization Testing with Heterogeneous External and Unlabeled Data

Chenlei Leng, Yingjie Zhang, Ziqi Chen

arxiv:2607.17859 v1 · 2026-07-20 · 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{TRWLAFBYBYDO3FOL2DQWUCAQV7}

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	2026-07-21T02:22:03.883326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6cb014380e06ed95cbd0e16a0810aff39f1a660c530d4047c65c01bc0d31cc

Aliases

arxiv: 2607.17859 · arxiv_version: 2607.17859v1 · doi: 10.48550/arxiv.2607.17859 · pith_short_12: TRWLAFBYBYDO · pith_short_16: TRWLAFBYBYDO3FOL · pith_short_8: TRWLAFBY

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/TRWLAFBYBYDO3FOL2DQWUCAQV7 \
  | 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: 9c6cb014380e06ed95cbd0e16a0810aff39f1a660c530d4047c65c01bc0d31cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c4668ec1f056f1b97a58e605733bc63557de9a4df813e97475fcdc58e62789a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-20T11:59:58Z",
    "title_canon_sha256": "db3cfb3a5391b1a0648d64c954fd0fd750a55d5f03a2d0bbcf290d29b611e3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17859",
    "kind": "arxiv",
    "version": 1
  }
}