Pith Number

pith:QFW3JUFF

pith:2026:QFW3JUFF3JZTFOV5N3GXEGKBMP

not attested not anchored not stored refs pending

Multivariate incremental effects for continuous treatments: Studying the health effects of environmental mixtures

Joseph Antonelli, Kejin Dong, Tuo Lin, Zhuochao Huang

Extending exponential tilting to multivariate continuous exposures identifies causal health effects of air pollution mixtures.

arxiv:2604.23534 v3 · 2026-04-26 · stat.ME · stat.AP

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\usepackage{pith}
\pithnumber{QFW3JUFF3JZTFOV5N3GXEGKBMP}

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Record completeness

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4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

We develop a novel causal inference framework to address this challenge. We extend exponential tilting to multivariate exposures and address the critical question of how to compare different intervention directions fairly. This establishes a systematic framework for defining and evaluating various policy-relevant causal estimands, allowing researchers to address diverse scientific questions.

C2weakest assumption

The extension of exponential tilting to multivariate continuous exposures produces well-defined, identifiable incremental effects that can be fairly compared across intervention directions, and that the proposed Riemannian BFGS algorithm reliably solves the resulting constrained manifold optimization problem.

C3one line summary

A new causal framework extends exponential tilting to multivariate continuous exposures, defines policy-relevant incremental effects, and provides efficient estimators with proven statistical properties for environmental mixture studies.

Receipt and verification

First computed	2026-06-12T01:09:28.027759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

816db4d0a5da7332babd6ecd72194163fcfd00c5687763d8aaa5cee4743a14e8

Aliases

arxiv: 2604.23534 · arxiv_version: 2604.23534v3 · doi: 10.48550/arxiv.2604.23534 · pith_short_12: QFW3JUFF3JZT · pith_short_16: QFW3JUFF3JZTFOV5 · pith_short_8: QFW3JUFF

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QFW3JUFF3JZTFOV5N3GXEGKBMP \
  | 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: 816db4d0a5da7332babd6ecd72194163fcfd00c5687763d8aaa5cee4743a14e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131183e6058e6564c040f9f8ebb98d52169924e58b2498aabcdc56b0c6cc645b",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-04-26T05:08:30Z",
    "title_canon_sha256": "1cd961d1b10f68b2479827b0d3891c7cc8979e8b10dffd4b442cff0e9872be42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.23534",
    "kind": "arxiv",
    "version": 3
  }
}