Pith Number

pith:SHKDC757

pith:2025:SHKDC757C7QZX5ZAD6TP4OX3EY

not attested not anchored not stored refs pending

Tracy-Widom, Gaussian, and Bootstrap: Approximations for Leading Eigenvalues in High-Dimensional PCA

Miles E. Lopes, Nina D\"ornemann

arxiv:2503.23097 v1 · 2025-03-29 · 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{SHKDC757C7QZX5ZAD6TP4OX3EY}

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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.

Cited by

1 paper in Pith

Does PCA Work for Rough Functional Data?

Receipt and verification

First computed	2026-07-05T10:41:30.655712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d4317fbf17e19bf7201fa6fe3afb2613db4c9574bea319115d87a4ff52e471

Aliases

arxiv: 2503.23097 · arxiv_version: 2503.23097v1 · doi: 10.48550/arxiv.2503.23097 · pith_short_12: SHKDC757C7QZ · pith_short_16: SHKDC757C7QZX5ZA · pith_short_8: SHKDC757

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/SHKDC757C7QZX5ZAD6TP4OX3EY \
  | 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: 91d4317fbf17e19bf7201fa6fe3afb2613db4c9574bea319115d87a4ff52e471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e66a395f5ba8271ca3af7111088045be7bf5629f9fb875e21dc64fe3a783c22",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-03-29T14:30:20Z",
    "title_canon_sha256": "c86d797dfa6d6c9f1828bbc8975af7039b7ff1fcdd7ba9de76f4f8afef023665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.23097",
    "kind": "arxiv",
    "version": 1
  }
}