Pith Number

pith:BQ5RI32L

pith:2017:BQ5RI32L2EUDPU4JTXHZERPLKJ

not attested not anchored not stored refs pending

Optimal High-Dimensional Shrinkage Covariance Estimation for Elliptical Distributions

Esa Ollila

arxiv:1706.10066 v1 · 2017-06-30 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQ5RI32L2EUDPU4JTXHZERPLKJ}

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	2026-05-18T00:41:11.524242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3b146f4bd12837d3899dcf9245eb5258a64cbeb390434e491463079d9c98d1

Aliases

arxiv: 1706.10066 · arxiv_version: 1706.10066v1 · doi: 10.48550/arxiv.1706.10066 · pith_short_12: BQ5RI32L2EUD · pith_short_16: BQ5RI32L2EUDPU4J · pith_short_8: BQ5RI32L

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/BQ5RI32L2EUDPU4JTXHZERPLKJ \
  | 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: 0c3b146f4bd12837d3899dcf9245eb5258a64cbeb390434e491463079d9c98d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd8becdedd6feab00e41e9260aecf961b6fdd3bc2c8ce188855bd2367a92d88e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-06-30T08:49:00Z",
    "title_canon_sha256": "261c31bd7c3e3c1a8a2bde7dc63bfa6b3108f8f68ccd62cfd090caba136c97f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10066",
    "kind": "arxiv",
    "version": 1
  }
}