Pith Number

pith:Q67YRNA5

pith:2024:Q67YRNA57UHBDCZ5UG7RX5A5GN

not attested not anchored not stored refs pending

Debiased Estimating Equation Method for Robust and Efficient Mendelian Randomization Using a Large Number of Correlated Weak and Invalid Instruments

Haoyu Zhang, Ruoyu Wang, Xihong Lin

arxiv:2408.05386 v2 · 2024-08-09 · 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{Q67YRNA57UHBDCZ5UG7RX5A5GN}

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	2026-07-05T10:54:35.322178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bf88b41dfd0e118b3da1bf1bf41d337ee25fe059bbf10e4d778bf51bf4bc96

Aliases

arxiv: 2408.05386 · arxiv_version: 2408.05386v2 · doi: 10.48550/arxiv.2408.05386 · pith_short_12: Q67YRNA57UHB · pith_short_16: Q67YRNA57UHBDCZ5 · pith_short_8: Q67YRNA5

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/Q67YRNA57UHBDCZ5UG7RX5A5GN \
  | 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: 87bf88b41dfd0e118b3da1bf1bf41d337ee25fe059bbf10e4d778bf51bf4bc96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24df634fc8d2f43dd97570684ba119712596de5351b45aafcb855b8310368d8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-08-09T23:51:06Z",
    "title_canon_sha256": "27ed3b71b121c44e81c17fa378806a4b6294683ae2ab8b2b90fb3a2d037e67ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.05386",
    "kind": "arxiv",
    "version": 2
  }
}