Pith Number

pith:S6XGV3KL

pith:2012:S6XGV3KLSKAXHYCWSV5YFTYVAC

not attested not anchored not stored refs pending

Nonparametric estimate of spectral density functions of sample covariance matrices: A first step

Bing-Yi Jing, Guangming Pan, Qi-Man Shao, Wang Zhou

arxiv:1211.3230 v1 · 2012-11-14 · 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{S6XGV3KLSKAXHYCWSV5YFTYVAC}

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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	2026-05-18T03:40:50.513187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ae6aed4b928173e056957b82cf15009a7bbf4904c5f2c54db1a0d08e0d4bda

Aliases

arxiv: 1211.3230 · arxiv_version: 1211.3230v1 · doi: 10.48550/arxiv.1211.3230 · pith_short_12: S6XGV3KLSKAX · pith_short_16: S6XGV3KLSKAXHYCW · pith_short_8: S6XGV3KL

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/S6XGV3KLSKAXHYCWSV5YFTYVAC \
  | 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: 97ae6aed4b928173e056957b82cf15009a7bbf4904c5f2c54db1a0d08e0d4bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be9cfc41d942e66c1e5c1da529c7d54cc5b75693cd30cddf6dc976bd49d9bb1b",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-11-14T08:01:55Z",
    "title_canon_sha256": "b700a7c2e2d90f43c038145a58405e5bb17a2644458183d1a01a9686097e5a06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3230",
    "kind": "arxiv",
    "version": 1
  }
}