Pith Number

pith:KHW32NBM

pith:2022:KHW32NBMSWBNBP6M643LC4J6VA

not attested not anchored not stored refs pending

Improved covariance estimation: optimal robustness and sub-Gaussian guarantees under heavy tails

Roberto I. Oliveira, Zoraida F. Rico

arxiv:2209.13485 v2 · 2022-09-27 · math.ST · math.PR · 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{KHW32NBMSWBNBP6M643LC4J6VA}

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	2026-07-05T08:00:30.824803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51edbd342c9582d0bfccf736b1713ea82755bee123e5aee554807808c9115b07

Aliases

arxiv: 2209.13485 · arxiv_version: 2209.13485v2 · doi: 10.48550/arxiv.2209.13485 · pith_short_12: KHW32NBMSWBN · pith_short_16: KHW32NBMSWBNBP6M · pith_short_8: KHW32NBM

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/KHW32NBMSWBNBP6M643LC4J6VA \
  | 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: 51edbd342c9582d0bfccf736b1713ea82755bee123e5aee554807808c9115b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6b658d500d064920c0bd5a4e3129b4dda53844c46236cde0d39bd74a27d7c12",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-09-27T16:00:10Z",
    "title_canon_sha256": "1601fc2bfe0506224bea53f585908110f8dc1e8ce9cbec31961b05ee6664f831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.13485",
    "kind": "arxiv",
    "version": 2
  }
}