Pith Number

pith:LWIPN2H2

pith:2026:LWIPN2H2RIOLXWGAFTRCHIGL3Z

not attested not anchored not stored refs pending

Bracketing Relationships of Weighted Average Treatment Effects

Fan Yang, Peng Ding, Pengfei Tian

arxiv:2606.11715 v1 · 2026-06-10 · 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{LWIPN2H2RIOLXWGAFTRCHIGL3Z}

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	2026-06-11T01:10:04.419754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d90f6e8fa8a1cbbd8c02ce223a0cbde741ec0d6cc7695c701c7980936a7e3b4

Aliases

arxiv: 2606.11715 · arxiv_version: 2606.11715v1 · doi: 10.48550/arxiv.2606.11715 · pith_short_12: LWIPN2H2RIOL · pith_short_16: LWIPN2H2RIOLXWGA · pith_short_8: LWIPN2H2

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/LWIPN2H2RIOLXWGAFTRCHIGL3Z \
  | 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: 5d90f6e8fa8a1cbbd8c02ce223a0cbde741ec0d6cc7695c701c7980936a7e3b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b6f3cb90482efbec50259e6716a3d9b43158d46a8970b2e7aeaa7d7ca8f93c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-10T06:40:53Z",
    "title_canon_sha256": "105bb164bed990c2acf1c608c644f16628e9ebb1fa47be5e5fcabf0391a9823f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11715",
    "kind": "arxiv",
    "version": 1
  }
}