Pith Number

pith:GA76SCWP

pith:2021:GA76SCWPIARDYXIZF2BSHZAWNU

not attested not anchored not stored refs pending

Selecting invalid instruments to improve Mendelian randomization with two-sample summary data

Ashish Patel, Francis J. DiTraglia, Stephen Burgess, Verena Zuber

arxiv:2107.01513 v3 · 2021-07-04 · 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{GA76SCWPIARDYXIZF2BSHZAWNU}

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	2026-07-05T06:03:51.720023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303fe90acf40223c5d192e8323e4166d1801d5e49ea31049ff5bddfc7e943f7a

Aliases

arxiv: 2107.01513 · arxiv_version: 2107.01513v3 · doi: 10.48550/arxiv.2107.01513 · pith_short_12: GA76SCWPIARD · pith_short_16: GA76SCWPIARDYXIZ · pith_short_8: GA76SCWP

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/GA76SCWPIARDYXIZF2BSHZAWNU \
  | 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: 303fe90acf40223c5d192e8323e4166d1801d5e49ea31049ff5bddfc7e943f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1bfebf3204b1e801e76afe0781b1257258c8defa1812c2a2043803cb3b572e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2021-07-04T00:27:49Z",
    "title_canon_sha256": "be3eb5d919b2668aecce2b8ded250e9442524725e80fd9b454de5c112c5d275c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01513",
    "kind": "arxiv",
    "version": 3
  }
}