Pith Number

pith:3JLUFGWL

pith:2016:3JLUFGWLOUG7PM4KFWWSYGXP44

not attested not anchored not stored refs pending

Minimax Rate-optimal Estimation of High-dimensional Covariance Matrices with Incomplete Data

Anru Zhang, T. Tony Cai

arxiv:1605.04358 v1 · 2016-05-14 · stat.ME · 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{3JLUFGWLOUG7PM4KFWWSYGXP44}

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	2026-05-18T01:14:51.938562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da57429acb750df7b38a2dad2c1aefe71aeb712302da717760978a7c4c74aa36

Aliases

arxiv: 1605.04358 · arxiv_version: 1605.04358v1 · doi: 10.48550/arxiv.1605.04358 · pith_short_12: 3JLUFGWLOUG7 · pith_short_16: 3JLUFGWLOUG7PM4K · pith_short_8: 3JLUFGWL

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/3JLUFGWLOUG7PM4KFWWSYGXP44 \
  | 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: da57429acb750df7b38a2dad2c1aefe71aeb712302da717760978a7c4c74aa36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06e2df6bfdffb1a9baeff59b00ef17dc7fea008bf61e65046706b8a9ab68f41e",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-05-14T00:48:38Z",
    "title_canon_sha256": "79e2f901a9df5d846a29c4b8605b064dbacadb65c92b4221f5160c36df8be5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04358",
    "kind": "arxiv",
    "version": 1
  }
}