Pith Number

pith:VRUMBGFK

pith:2025:VRUMBGFKL36VYIYQKMGQN6465J

not attested not anchored not stored refs pending

Inference on Nonlinear Counterfactual Functionals under a Multiplicative IV Model

Chan Park, Eric J. Tchetgen Tchetgen, James M. Robins, Jiewen Liu, Mengxin Yu, Yonghoon Lee, Yunshu Zhang

arxiv:2507.15612 v2 · 2025-07-21 · 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{VRUMBGFKL36VYIYQKMGQN6465J}

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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.

Cited by

1 paper in Pith

On a Debiased and Semiparametric Efficient Changes-in-Changes Estimator

Receipt and verification

First computed	2026-07-05T12:01:24.978576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac68c098aa5efd5c2310530d06fb9eea5999e6de444fc71cb05250d0369f8015

Aliases

arxiv: 2507.15612 · arxiv_version: 2507.15612v2 · doi: 10.48550/arxiv.2507.15612 · pith_short_12: VRUMBGFKL36V · pith_short_16: VRUMBGFKL36VYIYQ · pith_short_8: VRUMBGFK

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/VRUMBGFKL36VYIYQKMGQN6465J \
  | 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: ac68c098aa5efd5c2310530d06fb9eea5999e6de444fc71cb05250d0369f8015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d9a87d543ea1db8238f09e66c27d96151d9334bd795c303de5778c9971e018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2025-07-21T13:35:00Z",
    "title_canon_sha256": "b744751a76f1924e917f6cc500e3a908b7f9d0045dcde4d63c924d1b1c4f3832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15612",
    "kind": "arxiv",
    "version": 2
  }
}