Pith Number

pith:FMWVUHNV

pith:2025:FMWVUHNVIZKVCBEJDMPRCOP3XC

not attested not anchored not stored refs pending

Optimal Variance and Covariance Estimation under Differential Privacy in the Add-Remove Model and Beyond

Satoshi Hasegawa, Seng Pei Liew, Shokichi Takakura

arxiv:2509.04919 v1 · 2025-09-05 · stat.ML · cs.DS · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMWVUHNVIZKVCBEJDMPRCOP3XC}

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

DPSQL+: A Differentially Private SQL Library with a Minimum Frequency Rule

Receipt and verification

First computed	2026-07-05T12:05:32.208452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b2d5a1db546555104891b1f1139fbb884f1c45b8f11442dd203c3f80f5aac84

Aliases

arxiv: 2509.04919 · arxiv_version: 2509.04919v1 · doi: 10.48550/arxiv.2509.04919 · pith_short_12: FMWVUHNVIZKV · pith_short_16: FMWVUHNVIZKVCBEJ · pith_short_8: FMWVUHNV

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/FMWVUHNVIZKVCBEJDMPRCOP3XC \
  | 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: 2b2d5a1db546555104891b1f1139fbb884f1c45b8f11442dd203c3f80f5aac84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63df29e2b133f013fced4c5cf5576e51d6c080ee2e9eeed87917edaa4857cb97",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-09-05T08:37:30Z",
    "title_canon_sha256": "27bc5614d9dd6b01961f133cee05a72a18e8b76c86fe488d8f666f24fab2d7a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04919",
    "kind": "arxiv",
    "version": 1
  }
}