Pith Number

pith:PZ6HCR3K

pith:2026:PZ6HCR3K6YEMRZT62DVFA7LERT

not attested not anchored not stored refs pending

Global Average Treatment Effects for Individualized Randomization Experiments with Aggregate Data

Chengchun Shi, Fan Zhou, Hongtu Zhu, Peng Zhen, Shuguang Yu, Ting Li, Yuchen Lu, Zhichao Zou

arxiv:2605.26532 v1 · 2026-05-26 · 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{PZ6HCR3K6YEMRZT62DVFA7LERT}

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	2026-05-27T01:05:25.480364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7c71476af608c8e67ed0ea507d648cc32c7bf6425f09631affb04bc64e747c

Aliases

arxiv: 2605.26532 · arxiv_version: 2605.26532v1 · doi: 10.48550/arxiv.2605.26532 · pith_short_12: PZ6HCR3K6YEM · pith_short_16: PZ6HCR3K6YEMRZT6 · pith_short_8: PZ6HCR3K

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/PZ6HCR3K6YEMRZT62DVFA7LERT \
  | 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: 7e7c71476af608c8e67ed0ea507d648cc32c7bf6425f09631affb04bc64e747c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19be91061f0fc46dc9b113d5670578e8d5e0f7536899af26e02b631af10466e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-26T04:23:53Z",
    "title_canon_sha256": "c17b90e6fb08dd106b6c2647847b2d0ce027ebb855c8999a5a74f1507126fc8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26532",
    "kind": "arxiv",
    "version": 1
  }
}