Pith Number

pith:SMUC53Z3

pith:2016:SMUC53Z3Q4YGCG7T3R3JZ2IACK

not attested not anchored not stored refs pending

Bayesian Mendelian Randomization

Carlo Berzuini, Hui Guo, Luisa Bernardinelli, Stephen Burgess

arxiv:1608.02990 v3 · 2016-08-09 · math.ST · stat.ME · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMUC53Z3Q4YGCG7T3R3JZ2IACK}

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	2026-05-18T00:51:47.330849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93282eef3b8730611bf3dc769ce90012b9a58e163b0840e73a6efaf84c3265da

Aliases

arxiv: 1608.02990 · arxiv_version: 1608.02990v3 · doi: 10.48550/arxiv.1608.02990 · pith_short_12: SMUC53Z3Q4YG · pith_short_16: SMUC53Z3Q4YGCG7T · pith_short_8: SMUC53Z3

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/SMUC53Z3Q4YGCG7T3R3JZ2IACK \
  | 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: 93282eef3b8730611bf3dc769ce90012b9a58e163b0840e73a6efaf84c3265da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55f014ec6b11708c44f61704fbddb656184f0bea615f5b90da5b6447e8af7992",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-08-09T22:11:46Z",
    "title_canon_sha256": "6d881fcb3cd979cd9a316330407883d7dee8af457f6494d712c3a90a46654f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02990",
    "kind": "arxiv",
    "version": 3
  }
}