Pith Number

pith:7H356KUK

pith:2013:7H356KUKDGSDN6HCIWQV3ZAA23

not attested not anchored not stored refs pending

Law of Log Determinant of Sample Covariance Matrix and Optimal Estimation of Differential Entropy for High-Dimensional Gaussian Distributions

Harrison H. Zhou, Tengyuan Liang, T. Tony Cai

arxiv:1309.0482 v1 · 2013-09-02 · math.ST · cs.IT · math.IT · 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{7H356KUKDGSDN6HCIWQV3ZAA23}

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	2026-05-18T02:25:19.963514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9f7df2a8a19a436f8e245a15de400d6eecb133e130f458e9ff96ee6d9802663

Aliases

arxiv: 1309.0482 · arxiv_version: 1309.0482v1 · doi: 10.48550/arxiv.1309.0482 · pith_short_12: 7H356KUKDGSD · pith_short_16: 7H356KUKDGSDN6HC · pith_short_8: 7H356KUK

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/7H356KUKDGSDN6HCIWQV3ZAA23 \
  | 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: f9f7df2a8a19a436f8e245a15de400d6eecb133e130f458e9ff96ee6d9802663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ac765a6e1a0fd92f5f22d67577ded39e6e46fbf305f4065661367f2132e3b1",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-09-02T18:46:28Z",
    "title_canon_sha256": "15cf6f902379253c2e283baae129bd5d9b629595f7e774ba7566b096e37831b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0482",
    "kind": "arxiv",
    "version": 1
  }
}