Pith Number

pith:INM3IE5M

pith:2022:INM3IE5MI6QEN7B3Z2OECU6BWT

not attested not anchored not stored refs pending

A Focusing Framework for Testing Bi-Directional Causal Effects with GWAS Summary Data

Sai Li, Ting Ye

arxiv:2203.06887 v1 · 2022-03-14 · stat.ME · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INM3IE5MI6QEN7B3Z2OECU6BWT}

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	2026-07-05T04:04:57.269546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4359b413ac47a046fc3bce9c4153c1b4e0e1a343ec60e4e657a17c8c56d1f59b

Aliases

arxiv: 2203.06887 · arxiv_version: 2203.06887v1 · doi: 10.48550/arxiv.2203.06887 · pith_short_12: INM3IE5MI6QE · pith_short_16: INM3IE5MI6QEN7B3 · pith_short_8: INM3IE5M

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/INM3IE5MI6QEN7B3Z2OECU6BWT \
  | 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: 4359b413ac47a046fc3bce9c4153c1b4e0e1a343ec60e4e657a17c8c56d1f59b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45663ee7f82c17f6ba04016cb13c8f2a5241ccda377e091675fe589123c722ef",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2022-03-14T07:03:42Z",
    "title_canon_sha256": "fb50e3235519578a6db5e6955d7162564ec1d5012530b164e5558cbeaf8acb2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.06887",
    "kind": "arxiv",
    "version": 1
  }
}