Pith Number

pith:EF7UGIRO

pith:2026:EF7UGIRO5NPOPJMQSJ26LOJ2PL

not attested not anchored not stored refs pending

Adaptive Penalization and Bootstrap-Smoothed Inference for Two-Sample Mendelian Randomization with Summary Data

Ishan S Bhatt, Kai Wang, Muhammad Qasim

arxiv:2607.18503 v1 · 2026-07-20 · stat.ME · 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{EF7UGIRO5NPOPJMQSJ26LOJ2PL}

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	2026-07-22T00:22:51.796936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

217f43222eeb5ee7a5909275e5b93a7ae3198371278c3beca17da82ebd71ad3e

Aliases

arxiv: 2607.18503 · arxiv_version: 2607.18503v1 · doi: 10.48550/arxiv.2607.18503 · pith_short_12: EF7UGIRO5NPO · pith_short_16: EF7UGIRO5NPOPJMQ · pith_short_8: EF7UGIRO

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/EF7UGIRO5NPOPJMQSJ26LOJ2PL \
  | 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: 217f43222eeb5ee7a5909275e5b93a7ae3198371278c3beca17da82ebd71ad3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f21f48fd746dc4dd946400213666d70be00052cf4e39d880178e52e50f5e3f9c",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-20T20:51:46Z",
    "title_canon_sha256": "467110b7825dd3965e355e2d20439f3e8530e876efc0b4fea5836b219c67ba6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18503",
    "kind": "arxiv",
    "version": 1
  }
}