Pith Number

pith:DRBC2ZBP

pith:2015:DRBC2ZBPNBLHU3EO77GJFQ7HRE

not attested not anchored not stored refs pending

Normal approximation and concentration of spectral projectors of sample covariance

Karim Lounici, Vladimir Koltchinskii

arxiv:1504.07333 v1 · 2015-04-28 · 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{DRBC2ZBPNBLHU3EO77GJFQ7HRE}

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	2026-05-18T02:17:35.118380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c422d642f68567a6c8effcc92c3e78902945d811d43572348af48cfa7a06cea

Aliases

arxiv: 1504.07333 · arxiv_version: 1504.07333v1 · doi: 10.48550/arxiv.1504.07333 · pith_short_12: DRBC2ZBPNBLH · pith_short_16: DRBC2ZBPNBLHU3EO · pith_short_8: DRBC2ZBP

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/DRBC2ZBPNBLHU3EO77GJFQ7HRE \
  | 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: 1c422d642f68567a6c8effcc92c3e78902945d811d43572348af48cfa7a06cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c733cbb2246f4363443856d38dd4e9db96f3a2bcf11e47306fd3ed47b486e5fc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-04-28T02:38:44Z",
    "title_canon_sha256": "988dae2ff24a167b77426f7c6831e5749f7cf00ad0e58d886caa3c177e82be88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07333",
    "kind": "arxiv",
    "version": 1
  }
}