Pith Number

pith:AH4FFVDJ

pith:2024:AH4FFVDJ67KH7S6O2UWN4V3JHG

not attested not anchored not stored refs pending

Weak instruments in multivariable Mendelian randomization: methods and practice

Ashish Patel, James Lane, Stephen Burgess

arxiv:2408.09868 v1 · 2024-08-19 · stat.ME

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AH4FFVDJ67KH7S6O2UWN4V3JHG}

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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.

Cited by

2 papers in Pith

Multivariable Mendelian randomization with weak instruments: a comparison of Bayesian and frequentist methods

Jackknife Instrumental Variable Inference

Receipt and verification

First computed	2026-07-05T08:56:38.392750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01f852d469f7d47fcbced52cde576939b6e9fd3dc73a4fc22b8bca1c7674826f

Aliases

arxiv: 2408.09868 · arxiv_version: 2408.09868v1 · doi: 10.48550/arxiv.2408.09868 · pith_short_12: AH4FFVDJ67KH · pith_short_16: AH4FFVDJ67KH7S6O · pith_short_8: AH4FFVDJ

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/AH4FFVDJ67KH7S6O2UWN4V3JHG \
  | 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: 01f852d469f7d47fcbced52cde576939b6e9fd3dc73a4fc22b8bca1c7674826f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d7d2e5718d1b4ef46c5cd05a288168217a0d9fca721e02cf5130e566d803aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-08-19T10:18:34Z",
    "title_canon_sha256": "9d35af5038d0315dfa96a73e7a834aad6d64a0c4e7133d51c63833552b4c8f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.09868",
    "kind": "arxiv",
    "version": 1
  }
}