Pith Number

pith:TPYPY4Y2

pith:2016:TPYPY4Y2NIMZMYHTQJYVQDF2NQ

not attested not anchored not stored refs pending

Optimal Shrinkage Estimator for High-Dimensional Mean Vector

Nestor Parolya, Ostap Okhrin, Taras Bodnar

arxiv:1610.09292 v3 · 2016-10-28 · math.ST · q-fin.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{TPYPY4Y2NIMZMYHTQJYVQDF2NQ}

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	2026-05-18T00:10:48.013348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf0fc731a6a199660f38271580cba6c1e78478fa76e851d24c0d822ad5cde79

Aliases

arxiv: 1610.09292 · arxiv_version: 1610.09292v3 · doi: 10.48550/arxiv.1610.09292 · pith_short_12: TPYPY4Y2NIMZ · pith_short_16: TPYPY4Y2NIMZMYHT · pith_short_8: TPYPY4Y2

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/TPYPY4Y2NIMZMYHTQJYVQDF2NQ \
  | 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: 9bf0fc731a6a199660f38271580cba6c1e78478fa76e851d24c0d822ad5cde79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2f9110d2601e92b47662376c660d4adfadbe143b41616df3e584ced842f1ff",
    "cross_cats_sorted": [
      "q-fin.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-10-28T16:10:19Z",
    "title_canon_sha256": "9b0ad603aec4e287dedcf72b0d2ef9085c190ecac77f5a35f8a8f51c7f5f171a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09292",
    "kind": "arxiv",
    "version": 3
  }
}