Pith Number

pith:QNFKLVMX

pith:2009:QNFKLVMXZ5ARYMZKQSYSD3FHV3

not attested not anchored not stored refs pending

Admissible Estimator of the Eigenvalues of Variance-Covariance Matrix for Multivariate Normal Distributions--Detailed Proof--

Akimichi Takemura, Yo Sheena

arxiv:0908.1701 v3 · 2009-08-12 · 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{QNFKLVMXZ5ARYMZKQSYSD3FHV3}

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	2026-05-18T04:31:42.304142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834aa5d597cf411c332a84b121eca7aec00942b0d257ab8646fea44b5b87982e

Aliases

arxiv: 0908.1701 · arxiv_version: 0908.1701v3 · doi: 10.48550/arxiv.0908.1701 · pith_short_12: QNFKLVMXZ5AR · pith_short_16: QNFKLVMXZ5ARYMZK · pith_short_8: QNFKLVMX

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/QNFKLVMXZ5ARYMZKQSYSD3FHV3 \
  | 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: 834aa5d597cf411c332a84b121eca7aec00942b0d257ab8646fea44b5b87982e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258ceee6533c26d26c45d78dceec7376200e941aaffab0494e46ea6363ea3df4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-08-12T12:53:56Z",
    "title_canon_sha256": "fd5b7c9cace123e6590cc6018f3b243426c913c15100095565d6f4b040c1e340"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1701",
    "kind": "arxiv",
    "version": 3
  }
}