Pith Number

pith:JPT4RGSD

pith:2026:JPT4RGSDGCZENS4SSSII2TWJKW

not attested not anchored not stored refs pending

Apportioning Causal Responsibility of Two Risk Factors for an Adverse Outcome via Counterfactual Attribution

Qingyuan Zhao, Shanshan Luo, Yafang Deng, Zhi Geng

arxiv:2606.18459 v1 · 2026-06-16 · 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{JPT4RGSDGCZENS4SSSII2TWJKW}

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	2026-06-19T16:11:01.735742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be7c89a4330b246cb9294908d4ec955854fd3753ebd804ae10890e5517d21e8

Aliases

arxiv: 2606.18459 · arxiv_version: 2606.18459v1 · doi: 10.48550/arxiv.2606.18459 · pith_short_12: JPT4RGSDGCZE · pith_short_16: JPT4RGSDGCZENS4S · pith_short_8: JPT4RGSD

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/JPT4RGSDGCZENS4SSSII2TWJKW \
  | 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: 4be7c89a4330b246cb9294908d4ec955854fd3753ebd804ae10890e5517d21e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbf3f7ab8c1ac58c560c1eef25f2222ee475452a9edc416ba37d3c8de09f838",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-16T20:05:48Z",
    "title_canon_sha256": "a92995b44fd2434ace707858f454d3667a5d3ca2cb556494139c91675de0e10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18459",
    "kind": "arxiv",
    "version": 1
  }
}