Pith Number

pith:O2WHV2PL

pith:2020:O2WHV2PLWKBBEJJPUHUF3MVBCE

not attested not anchored not stored refs pending

Pleiotropy robust methods for multivariable Mendelian randomization

Andrew J. Grant, Stephen Burgess

arxiv:2008.11997 v1 · 2020-08-27 · 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{O2WHV2PLWKBBEJJPUHUF3MVBCE}

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	2026-07-05T03:02:39.797019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ac7ae9ebb28212252fa1e85db2a1110c63a45b33fd084b6e04a7302f755cfb

Aliases

arxiv: 2008.11997 · arxiv_version: 2008.11997v1 · doi: 10.48550/arxiv.2008.11997 · pith_short_12: O2WHV2PLWKBB · pith_short_16: O2WHV2PLWKBBEJJP · pith_short_8: O2WHV2PL

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/O2WHV2PLWKBBEJJPUHUF3MVBCE \
  | 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: 76ac7ae9ebb28212252fa1e85db2a1110c63a45b33fd084b6e04a7302f755cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89d89d7deb3386b3bd0c22bdc818c182e6d426f6fe08727312b37ddc44ec11fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2020-08-27T09:05:14Z",
    "title_canon_sha256": "6561d32ddcfd5161c4024a50cb2d5b93cebd75a5f60a14b1fb5424a049cf20ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.11997",
    "kind": "arxiv",
    "version": 1
  }
}