Pith Number

pith:PIZAFPZF

pith:2026:PIZAFPZFKPBY2QKM324GPY57OI

not attested not anchored not stored refs pending

Achieving Linear Speedup for Composite Federated Learning

Karl Henrik Johansson, Kun Huang, Shi Pu

arxiv:2602.03357 v2 · 2026-02-03 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIZAFPZFKPBY2QKM324GPY57OI}

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	2026-05-29T02:05:40.341688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3202bf2553c38d414cdeb867e3bf722e9ce423bd95ba0c139e9e54bfcb2999

Aliases

arxiv: 2602.03357 · arxiv_version: 2602.03357v2 · doi: 10.48550/arxiv.2602.03357 · pith_short_12: PIZAFPZFKPBY · pith_short_16: PIZAFPZFKPBY2QKM · pith_short_8: PIZAFPZF

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/PIZAFPZFKPBY2QKM324GPY57OI \
  | 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: 7a3202bf2553c38d414cdeb867e3bf722e9ce423bd95ba0c139e9e54bfcb2999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "045b82424db1a2125d09d77eb7d33c676dff6f62d84910fd96ba657e03e0dd5f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-03T10:29:34Z",
    "title_canon_sha256": "8e2369eaf3d1b98fa24655db57d42c5ba0d0d3197ab4f7edaf7c9599434d6464"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.03357",
    "kind": "arxiv",
    "version": 2
  }
}