Pith Number

pith:2HTSA3HU

pith:2024:2HTSA3HU44FQ7UVDB7U2RNHVGS

not attested not anchored not stored refs pending

Federated PCA and Estimation for Spiked Covariance Matrices: Optimal Rates and Efficient Algorithm

Anru R. Zhang, Dong Xia, Jingyang Li, T. Tony Cai

arxiv:2411.15660 v1 · 2024-11-23 · math.ST · cs.IT · math.IT · 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{2HTSA3HU44FQ7UVDB7U2RNHVGS}

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.

Cited by

1 paper in Pith

A Van Trees Lower Bound for Fully Interactive Differentially Private Federated Learning

Receipt and verification

First computed	2026-07-05T09:39:38.751390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e7206cf4e70b0fd2a30fe9a8b4f534b538fea04563c7744f1279dda6234eb5

Aliases

arxiv: 2411.15660 · arxiv_version: 2411.15660v1 · doi: 10.48550/arxiv.2411.15660 · pith_short_12: 2HTSA3HU44FQ · pith_short_16: 2HTSA3HU44FQ7UVD · pith_short_8: 2HTSA3HU

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/2HTSA3HU44FQ7UVDB7U2RNHVGS \
  | 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: d1e7206cf4e70b0fd2a30fe9a8b4f534b538fea04563c7744f1279dda6234eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1233d5a5482dec13bab260ee1af7664a4700b720e3b89c78624c8992fb5bc6",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-11-23T21:57:50Z",
    "title_canon_sha256": "f79806047808a6ff16b6e356582aa04a8ef5706d755fcfe07374f6e2550e592b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15660",
    "kind": "arxiv",
    "version": 1
  }
}