Pith Number

pith:VULJSKEG

pith:2017:VULJSKEGHQTOSKYYMK5WT3LIFU

not attested not anchored not stored refs pending

Mendelian Randomization when Many Instruments are Invalid: Hierarchical Empirical Bayes Estimation

Sai Li

arxiv:1706.01389 v1 · 2017-06-05 · 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{VULJSKEGHQTOSKYYMK5WT3LIFU}

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	2026-05-18T00:43:03.696402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad169928863c26e92b1862bb69ed682d226fec3298a8ff671927dc58d0e7752d

Aliases

arxiv: 1706.01389 · arxiv_version: 1706.01389v1 · doi: 10.48550/arxiv.1706.01389 · pith_short_12: VULJSKEGHQTO · pith_short_16: VULJSKEGHQTOSKYY · pith_short_8: VULJSKEG

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/VULJSKEGHQTOSKYYMK5WT3LIFU \
  | 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: ad169928863c26e92b1862bb69ed682d226fec3298a8ff671927dc58d0e7752d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445debb5b3af35307451ced4eacce33586aba4eb974e626bfa64cd25336410ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-06-05T16:02:45Z",
    "title_canon_sha256": "a6425eb313906a3b99e7633144e818bdda264697630fc6798e9735ba38d527af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01389",
    "kind": "arxiv",
    "version": 1
  }
}