Pith Number

pith:SJZMNSRN

pith:2026:SJZMNSRNSNP5HPHKGE2WXGUCNM

not attested not anchored not stored refs pending

On the Impossibility of Specification Testing of Interference Models Based on Exposure Mappings

Chao Gao, Christopher Harshaw, Fredrik S\"avje, Yitan Wang

Any specification test for an exposure mapping model has worst-case Type I and Type II errors summing to one when it must have power against larger models

arxiv:2605.09726 v2 · 2026-05-10 · math.ST · stat.ME · stat.TH

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\usepackage{pith}
\pithnumber{SJZMNSRNSNP5HPHKGE2WXGUCNM}

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Record completeness

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3 Author claim open · sign in to claim

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

any specification test for an exposure mapping model which aims to have power against a larger exposure mapping model has worst-case Type I and Type II errors that sum to one

C2weakest assumption

The test is required to have power against a larger exposure mapping model without further restrictions on the alternative class; the result holds under uniformly bounded outcomes and randomized experiments.

C3one line summary

Any specification test for an exposure mapping model with power against a larger exposure mapping model has worst-case Type I and Type II errors summing to one; informative tests require restricting the alternative class, as shown by a consistent test for no-interference versus network linear-in-ans

Receipt and verification

First computed	2026-06-05T01:15:25.352376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9272c6ca2d935fd3bcea31356b9a826b2b91413fe05d618e74d503b06e632a5d

Aliases

arxiv: 2605.09726 · arxiv_version: 2605.09726v2 · doi: 10.48550/arxiv.2605.09726 · pith_short_12: SJZMNSRNSNP5 · pith_short_16: SJZMNSRNSNP5HPHK · pith_short_8: SJZMNSRN

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SJZMNSRNSNP5HPHKGE2WXGUCNM \
  | 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: 9272c6ca2d935fd3bcea31356b9a826b2b91413fe05d618e74d503b06e632a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbffcb6001b898c5e68b0b2d50d213b91e0be72c611827b600090451d0aebc3a",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-10T19:50:11Z",
    "title_canon_sha256": "134b3bb1746dbff03094305dc5a7cf042ea3edda805f3797a0cfc69eb1899c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.09726",
    "kind": "arxiv",
    "version": 2
  }
}