Pith Number

pith:PZ4WJHHG

pith:2026:PZ4WJHHGVG4Y2ZVS2CTX26KRMC

not attested not anchored not stored refs pending

Range Penalization: Theoretical Insights with Applications in Federated Learning

Yifan Sun, Yiyuan She, Zhaojun Hu

arxiv:2606.10916 v1 · 2026-06-09 · stat.ML · cs.LG · math.ST · stat.ME · 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{PZ4WJHHGVG4Y2ZVS2CTX26KRMC}

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	2026-06-10T01:10:47.945727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e79649ce6a9b98d66b2d0a77d795160af97fc9ed3e3b7955089aec4005a571d

Aliases

arxiv: 2606.10916 · arxiv_version: 2606.10916v1 · doi: 10.48550/arxiv.2606.10916 · pith_short_12: PZ4WJHHGVG4Y · pith_short_16: PZ4WJHHGVG4Y2ZVS · pith_short_8: PZ4WJHHG

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/PZ4WJHHGVG4Y2ZVS2CTX26KRMC \
  | 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: 7e79649ce6a9b98d66b2d0a77d795160af97fc9ed3e3b7955089aec4005a571d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea200b5f4c1baae554d943fe98341dbca3be809a5e86fe7c73664e1a14083b63",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-09T14:26:28Z",
    "title_canon_sha256": "b8de033edaf70297ed5c5457d092f8926646f6ef63ad3af2a894edc7a5887bd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10916",
    "kind": "arxiv",
    "version": 1
  }
}