Pith Number

pith:J32ANHFI

pith:2025:J32ANHFI5RZ4SMD4QB2DSQTECH

not attested not anchored not stored refs pending

Causal Inference with the Napkin Graph

Anna Guo, David Benkeser, Lin Liu, Razieh Nabi

arxiv:2512.19861 v2 · 2025-12-22 · stat.ME · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J32ANHFI5RZ4SMD4QB2DSQTECH}

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	2026-06-26T01:15:48.097754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef4069ca8ec73c9307c807439426411ccf35c7a59bb9cacd0d6cfb3d5d4dce4

Aliases

arxiv: 2512.19861 · arxiv_version: 2512.19861v2 · doi: 10.48550/arxiv.2512.19861 · pith_short_12: J32ANHFI5RZ4 · pith_short_16: J32ANHFI5RZ4SMD4 · pith_short_8: J32ANHFI

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/J32ANHFI5RZ4SMD4QB2DSQTECH \
  | 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: 4ef4069ca8ec73c9307c807439426411ccf35c7a59bb9cacd0d6cfb3d5d4dce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f57bf6e5b50cfa1e1bd1e25357d9b2503bd01acbc51f9ad7460b0c7538cd12",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-12-22T20:35:35Z",
    "title_canon_sha256": "b44c7e4564df8353289d93fcd42d7501be9bb1df639606a84d136159b1ab978a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.19861",
    "kind": "arxiv",
    "version": 2
  }
}