Pith Number

pith:YCCM3WVO

pith:2013:YCCM3WVOZCAGGL4PWZX422CAH6

not attested not anchored not stored refs pending

Optimal Estimation and Rank Detection for Sparse Spiked Covariance Matrices

Tony Cai, Yihong Wu, Zongming Ma

arxiv:1305.3235 v3 · 2013-05-14 · 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{YCCM3WVOZCAGGL4PWZX422CAH6}

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	2026-05-18T01:18:15.293337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c084cddaaec880632f8fb66fcd68403f932bb57457a909a8f7c64cb8447438a7

Aliases

arxiv: 1305.3235 · arxiv_version: 1305.3235v3 · doi: 10.48550/arxiv.1305.3235 · pith_short_12: YCCM3WVOZCAG · pith_short_16: YCCM3WVOZCAGGL4P · pith_short_8: YCCM3WVO

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/YCCM3WVOZCAGGL4PWZX422CAH6 \
  | 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: c084cddaaec880632f8fb66fcd68403f932bb57457a909a8f7c64cb8447438a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "945c8f17ea076b689e81de56427ce860828d13f125782cca72cca52c8ac9d22b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-05-14T18:22:55Z",
    "title_canon_sha256": "ad5efb2a1165dc4f8eac8af1db837d09222ae57da5b9b35f84be097be7fc655e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3235",
    "kind": "arxiv",
    "version": 3
  }
}