Pith Number

pith:SS72YVRI

pith:2025:SS72YVRIAEFLG7ZKHBKQDJT63G

not attested not anchored not stored refs pending

Federated Majorize-Minimization: Beyond Parameter Aggregation

Aymeric Dieuleveut, Gersende Fort, Hoi-To Wai, Mahmoud Hegazy

arxiv:2507.17534 v1 · 2025-07-23 · cs.LG · cs.AI · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SS72YVRIAEFLG7ZKHBKQDJT63G}

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	2026-07-05T11:42:09.584227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94bfac5628010ab37f2a385501a67ed98f7ce5b1cfebddd6af45fb54195bb28d

Aliases

arxiv: 2507.17534 · arxiv_version: 2507.17534v1 · doi: 10.48550/arxiv.2507.17534 · pith_short_12: SS72YVRIAEFL · pith_short_16: SS72YVRIAEFLG7ZK · pith_short_8: SS72YVRI

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/SS72YVRIAEFLG7ZKHBKQDJT63G \
  | 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: 94bfac5628010ab37f2a385501a67ed98f7ce5b1cfebddd6af45fb54195bb28d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d95bf431a56e1da749c3c1f557a2e546eb4c0e1f25319042dc29e3aba543e595",
    "cross_cats_sorted": [
      "cs.AI",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-23T14:13:19Z",
    "title_canon_sha256": "15fb72d2450664278ef30acdcc1217c965a20e19139685d516384c7df8f2cef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17534",
    "kind": "arxiv",
    "version": 1
  }
}