Pith Number

pith:SDXXW7KT

pith:2026:SDXXW7KT2HZRKZJJCBNW5FY776

not attested not anchored not stored refs pending

Empirical stratification for treatment effect heterogeneity with post-treatment variables

Chao Cheng, Rui Wang, Yichi Zhang

arxiv:2606.11013 v1 · 2026-06-09 · 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{SDXXW7KT2HZRKZJJCBNW5FY776}

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	2026-06-10T01:11:03.702536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ef7b7d53d1f3156529105b6e971fffacc169ab4cd5d3b03cbe69e678ccd292

Aliases

arxiv: 2606.11013 · arxiv_version: 2606.11013v1 · doi: 10.48550/arxiv.2606.11013 · pith_short_12: SDXXW7KT2HZR · pith_short_16: SDXXW7KT2HZRKZJJ · pith_short_8: SDXXW7KT

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/SDXXW7KT2HZRKZJJCBNW5FY776 \
  | 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: 90ef7b7d53d1f3156529105b6e971fffacc169ab4cd5d3b03cbe69e678ccd292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b7193a2b88f35dea004c86b4249eb1570baa2a11592147444d15db2cb43e3a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-09T15:53:00Z",
    "title_canon_sha256": "81a532f12631d9b87623960d9b5850305d487ebd557748c2775fc348006d1289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11013",
    "kind": "arxiv",
    "version": 1
  }
}