Pith Number

pith:LHQIFXQD

pith:2013:LHQIFXQDKPZKM5B2UBZE3HZ4HF

not attested not anchored not stored refs pending

Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model

David L. Donoho, Iain M. Johnstone, Matan Gavish

arxiv:1311.0851 v3 · 2013-11-04 · 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{LHQIFXQDKPZKM5B2UBZE3HZ4HF}

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.

Receipt and verification

First computed	2026-05-18T00:43:09.898879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e082de0353f2a6743aa0724d9f3c3956e87f80d42c7141c18d825d36617283

Aliases

arxiv: 1311.0851 · arxiv_version: 1311.0851v3 · doi: 10.48550/arxiv.1311.0851 · pith_short_12: LHQIFXQDKPZK · pith_short_16: LHQIFXQDKPZKM5B2 · pith_short_8: LHQIFXQD

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/LHQIFXQDKPZKM5B2UBZE3HZ4HF \
  | 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: 59e082de0353f2a6743aa0724d9f3c3956e87f80d42c7141c18d825d36617283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80435cc1b8652f5a823c1528943c7c73c46399af71d6bc8b99148642769993c4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-11-04T20:55:31Z",
    "title_canon_sha256": "937e2743233116e13ab6f2aface06bb817ac63e8dc6e5d930f898524a664b4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0851",
    "kind": "arxiv",
    "version": 3
  }
}