Pith Number

pith:IBE4NJSL

pith:2026:IBE4NJSLPTTJ6VLCAONZASI2EK

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On the Burden of Achieving Fairness in Conformal Prediction

Archer Yi Yang, Jesse C. Cresswell, Masoud Asgharian, Mouloud Belbahri, Pengqi Liu, Ziang Gao

Pooled calibration in conformal prediction creates irreducible coverage distortion across groups set by quantile heterogeneity.

arxiv:2605.14260 v1 · 2026-05-14 · stat.ML · cs.LG

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\pithnumber{IBE4NJSLPTTJ6VLCAONZASI2EK}

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4 Citations 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

pooled calibration incurs irreducible group-wise coverage distortion at a scale set by cross-group quantile heterogeneity

C2weakest assumption

The derivations rely on population-level score distributions for each group being well-defined and accessible for analysis, which may not translate exactly to finite-sample or misspecified models.

C3one line summary

Pooled conformal calibration incurs irreducible group-wise coverage distortion set by cross-group quantile heterogeneity, and Equalized Coverage and Equalized Set Size are in fundamental tension.

References

35 extracted · 35 resolved · 1 Pith anchors

[1] Uncer- tainty sets for image classifiers using conformal prediction 2021

[2] arXiv preprint arXiv:2512.19142 , year= 2025

[3] Big Data 5, 153–163 2017 · doi:10.1089/big.2016.0047

[4] Cresswell, Yi Sui, Bhargava Kumar, and Noël V ouitsis 2024

[5] Cresswell, Bhargava Kumar, Yi Sui, and Mouloud Belbahri 2025

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:10.490983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4049c6a64b7ce69f5562039b90491a22a5a097370a6e91c8fd8e4a944a8371ab

Aliases

arxiv: 2605.14260 · arxiv_version: 2605.14260v1 · doi: 10.48550/arxiv.2605.14260 · pith_short_12: IBE4NJSLPTTJ · pith_short_16: IBE4NJSLPTTJ6VLC · pith_short_8: IBE4NJSL

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IBE4NJSLPTTJ6VLCAONZASI2EK \
  | 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: 4049c6a64b7ce69f5562039b90491a22a5a097370a6e91c8fd8e4a944a8371ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35368e1bca75950a0e65c411ec90223b873ae2ccb0a25714c5f39280a93648f0",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-14T02:02:06Z",
    "title_canon_sha256": "848b1ac9834a737a50ac7f08eee2141b6daaf05c582f89549fca694a5bb49b37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14260",
    "kind": "arxiv",
    "version": 1
  }
}