Pith Number

pith:3V2TBKHE

pith:2015:3V2TBKHEU3CPEQ4NFA4WMOCGPS

not attested not anchored not stored refs pending

CLT for linear spectral statistics of normalized sample covariance matrices with the dimension much larger than the sample size

Binbin Chen, Guangming Pan

arxiv:1506.00458 v1 · 2015-06-01 · 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{3V2TBKHEU3CPEQ4NFA4WMOCGPS}

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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	2026-05-18T01:59:54.498014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd7530a8e4a6c4f2438d28396638467ca0e6f69a5455281069e00b006eea2beb

Aliases

arxiv: 1506.00458 · arxiv_version: 1506.00458v1 · doi: 10.48550/arxiv.1506.00458 · pith_short_12: 3V2TBKHEU3CP · pith_short_16: 3V2TBKHEU3CPEQ4N · pith_short_8: 3V2TBKHE

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/3V2TBKHEU3CPEQ4NFA4WMOCGPS \
  | 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: dd7530a8e4a6c4f2438d28396638467ca0e6f69a5455281069e00b006eea2beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921f2e9cd50250e7f7d9f0b5a40de35866f342a016b149645a6fce982550220d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-01T11:58:43Z",
    "title_canon_sha256": "04bab22cbe35cae2b479cde54f5fdf7fa3782537dcebcaa40eebb7cbe6be93db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00458",
    "kind": "arxiv",
    "version": 1
  }
}