Pith Number

pith:QD7A2C6B

pith:2026:QD7A2C6B4O3JTVGMA5C4VGN4RX

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A Unified Theory of Conditional Coverage in Conformal Prediction with Applications

Changliang Zou, Liuhua Peng, Yinjie Min

A unified framework derives non-asymptotic bounds for conditional miscoverage in conformal prediction.

arxiv:2605.11602 v2 · 2026-05-12 · stat.ME

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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 unified framework and theory for conformal methods targeting conditional coverage. Within this framework, we derive non-asymptotic bounds for conditional miscoverage through two complementary routes: a pointwise route for direct score control and an L_p route for quantile-centered methods.

C2weakest assumption

The data satisfy the symmetry or exchangeability conditions needed for the weighted symmetry-based formulation to deliver the stated conditional bounds (implied by the conformal prediction setting and the mention of structured-data extensions).

C3one line summary

A unified framework derives non-asymptotic bounds on conditional miscoverage in conformal prediction via pointwise and L_p routes and gives a common view of existing methods.

Receipt and verification

First computed	2026-05-27T01:05:56.923101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80fe0d0bc1e3b699d4cc0745ca99bc8df791e7a4aa5adfdeaad3f79b9d9b24cf

Aliases

arxiv: 2605.11602 · arxiv_version: 2605.11602v2 · doi: 10.48550/arxiv.2605.11602 · pith_short_12: QD7A2C6B4O3J · pith_short_16: QD7A2C6B4O3JTVGM · pith_short_8: QD7A2C6B

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QD7A2C6B4O3JTVGMA5C4VGN4RX \
  | 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: 80fe0d0bc1e3b699d4cc0745ca99bc8df791e7a4aa5adfdeaad3f79b9d9b24cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a673d3086762f13798671c005b740271c56375185b1429ea1ea7994cb6002290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-12T06:31:43Z",
    "title_canon_sha256": "33372c99253d22165b9ce4198ffa8cdfd0c102aee0236f7b5d3aac5304ef198c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11602",
    "kind": "arxiv",
    "version": 2
  }
}