Pith Number

pith:52H7UFQA

pith:2026:52H7UFQAWHMSPJOOPO3FTWXUHE

not attested not anchored not stored refs pending

Restricted nonlinear shrinkage of high-dimensional residual covariance matrices in multivariate regressions

(2) Department of Statistics, Bushehr, Data Science, Faculty of Intelligent Systems Engineering, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Hamid Karamikabir (1), Iran, Iran), Mashhad, Mohammad Arashi (2) ((1) Department of Statistics, Persian Gulf University

arxiv:2607.20576 v1 · 2026-07-22 · stat.ME · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52H7UFQAWHMSPJOOPO3FTWXUHE}

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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.

Receipt and verification

First computed	2026-07-24T00:23:23.523812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8ffa1600b1d927a5ce7bb659daf4391f4f935dd5b18c9ff45cd9aba2564a64

Aliases

arxiv: 2607.20576 · arxiv_version: 2607.20576v1 · doi: 10.48550/arxiv.2607.20576 · pith_short_12: 52H7UFQAWHMS · pith_short_16: 52H7UFQAWHMSPJOO · pith_short_8: 52H7UFQA

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/52H7UFQAWHMSPJOOPO3FTWXUHE \
  | 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: ee8ffa1600b1d927a5ce7bb659daf4391f4f935dd5b18c9ff45cd9aba2564a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce100bb627e05b747db8ca8b26bb7774c2071264049dbd41779ce6a7a1f8214",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-07-22T07:04:14Z",
    "title_canon_sha256": "297be35af7165a8cc4bb40b0ed088e6d37285c0f796643e6e634301ba0956a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20576",
    "kind": "arxiv",
    "version": 1
  }
}