Pith Number

pith:DPICAIE6

pith:2026:DPICAIE6QIHQLGGVNW5U2KWJLG

not attested not anchored not stored refs pending

Multi-Fidelity Quantile Regression

Yao Zhang, Yixiang Liu

The high-fidelity quantile equals the low-fidelity quantile evaluated at a covariate-dependent level.

arxiv:2605.10406 v2 · 2026-05-11 · stat.ME · stat.AP · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPICAIE6QIHQLGGVNW5U2KWJLG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Claims

C1strongest claim

The central idea is a local quantile link: at each covariate value, the HF quantile is represented as a low-fidelity (LF) quantile evaluated at a covariate-dependent level. This reformulation reduces the problem to estimating the level function, which can be smoother than the HF quantile itself when the LF and HF conditional distributions have similar shapes.

C2weakest assumption

The LF and HF conditional distributions have similar shapes so that the level function is smoother than the target HF quantile surface.

C3one line summary

A model-agnostic two-stage estimator links high-fidelity quantiles to low-fidelity ones via a covariate-dependent level function for faster convergence and better accuracy with limited high-fidelity data.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-09T01:05:18.996394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd020209e820f0598d56dbb4d2ac9599f5dbb11c85558fa7eed209ce8268a73

Aliases

arxiv: 2605.10406 · arxiv_version: 2605.10406v2 · doi: 10.48550/arxiv.2605.10406 · pith_short_12: DPICAIE6QIHQ · pith_short_16: DPICAIE6QIHQLGGV · pith_short_8: DPICAIE6

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/DPICAIE6QIHQLGGVNW5U2KWJLG \
  | 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: 1bd020209e820f0598d56dbb4d2ac9599f5dbb11c85558fa7eed209ce8268a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8764dca5d453131df77845fee838d87c3ec8fd3c88f42ae270b7e8b4a2116f3",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-11T11:43:38Z",
    "title_canon_sha256": "d328675951532de3f228cb648b4b5d406d6757366580ba7c3e3ab0afd1f8af04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10406",
    "kind": "arxiv",
    "version": 2
  }
}