Pith Number

pith:BN4GRMWT

pith:2021:BN4GRMWTCKLWBC7P5ZCRHVNIGM

not attested not anchored not stored refs pending

Collaboration Equilibrium in Federated Learning

Changshui Zhang, Fei Wang, Jian Liang, Kun Chen, Sen Cui, Weishen Pan

arxiv:2108.07926 v3 · 2021-08-18 · 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{BN4GRMWTCKLWBC7P5ZCRHVNIGM}

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	2026-07-05T04:28:27.034919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b7868b2d31297608befee4513d5a833365d01dabad35eb554d82a76c9e831ce

Aliases

arxiv: 2108.07926 · arxiv_version: 2108.07926v3 · doi: 10.48550/arxiv.2108.07926 · pith_short_12: BN4GRMWTCKLW · pith_short_16: BN4GRMWTCKLWBC7P · pith_short_8: BN4GRMWT

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/BN4GRMWTCKLWBC7P5ZCRHVNIGM \
  | 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: 0b7868b2d31297608befee4513d5a833365d01dabad35eb554d82a76c9e831ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55dd85302f24bb44fb5d1213d4ccf411a8d2cb8105e8c233367d83df69cd9b63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-18T01:45:57Z",
    "title_canon_sha256": "851bebce5d1f5482531dac4c9cebd99fe269bb4e3bcdef858cf55c3583510634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07926",
    "kind": "arxiv",
    "version": 3
  }
}