Pith Number

pith:FZKWIJW7

pith:2024:FZKWIJW77JF7WJX6LQQ2M5PJVT

not attested not anchored not stored refs pending

Optimal Federated Learning for Functional Mean Estimation under Heterogeneous Privacy Constraints

Abhinav Chakraborty, Lasse Vuursteen, Tony Cai

arxiv:2412.18992 v2 · 2024-12-25 · math.ST · cs.LG · 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{FZKWIJW77JF7WJX6LQQ2M5PJVT}

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	2026-07-05T10:01:18.791181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e556426dffa4bfb26fe5c21a675e9acd24b70b626d5a3fd78919e028052c4c0

Aliases

arxiv: 2412.18992 · arxiv_version: 2412.18992v2 · doi: 10.48550/arxiv.2412.18992 · pith_short_12: FZKWIJW77JF7 · pith_short_16: FZKWIJW77JF7WJX6 · pith_short_8: FZKWIJW7

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/FZKWIJW77JF7WJX6LQQ2M5PJVT \
  | 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: 2e556426dffa4bfb26fe5c21a675e9acd24b70b626d5a3fd78919e028052c4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d0cdc1410546856645443405b3cf0f9211b9143a8d8d2a7181ce1813b4b3a73",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-12-25T22:06:12Z",
    "title_canon_sha256": "1ffc6b40c899397725a150fb7cddec24634131379750be67e0e1830e7494b3dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18992",
    "kind": "arxiv",
    "version": 2
  }
}