Pith Number

pith:ACVPXVLT

pith:2026:ACVPXVLT47EDSJNVIXQ332VWCK

not attested not anchored not stored refs pending

Self-Distillation is Optimal Among Spectral Shrinkage Estimators in Spiked Covariance Models

Debarghya Mukherjee, Pragya Sur, Radu Lecoiu

arxiv:2605.17778 v1 · 2026-05-18 · math.ST · cs.LG · stat.ME · stat.ML · 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{ACVPXVLT47EDSJNVIXQ332VWCK}

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	2026-05-20T00:04:57.772906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00aafbd573e7c83925b545e1bdeab6129864311fd4407331ae3322073c5a1ab7

Aliases

arxiv: 2605.17778 · arxiv_version: 2605.17778v1 · doi: 10.48550/arxiv.2605.17778 · pith_short_12: ACVPXVLT47ED · pith_short_16: ACVPXVLT47EDSJNV · pith_short_8: ACVPXVLT

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/ACVPXVLT47EDSJNVIXQ332VWCK \
  | 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: 00aafbd573e7c83925b545e1bdeab6129864311fd4407331ae3322073c5a1ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7fb3c7d379de427082b07899048c58f9c6b97c0842e7536ccde240231115fd0",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-18T02:56:57Z",
    "title_canon_sha256": "e178a0b8e605061fc29ab8337e776d76bd77df2b1dbde8e9c442b108a35f82ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17778",
    "kind": "arxiv",
    "version": 1
  }
}