Pith Number

pith:BZ7ZGCVT

pith:2021:BZ7ZGCVTITC2SWS2F4MAWJ262N

not attested not anchored not stored refs pending

Cross-Gradient Aggregation for Decentralized Learning from Non-IID data

Aditya Balu, Chinmay Hegde, Ethan Herron, Sin Yong Tan, Soumik Sarkar, Yasaman Esfandiari, Zhanhong Jiang

arxiv:2103.02051 v2 · 2021-03-02 · cs.LG · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ7ZGCVTITC2SWS2F4MAWJ262N}

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	2026-07-05T02:53:00.557836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e7f930ab344c5a95a5a2f180b275ed369e8199cfb7b5fca2be0a09e05b36b58

Aliases

arxiv: 2103.02051 · arxiv_version: 2103.02051v2 · doi: 10.48550/arxiv.2103.02051 · pith_short_12: BZ7ZGCVTITC2 · pith_short_16: BZ7ZGCVTITC2SWS2 · pith_short_8: BZ7ZGCVT

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/BZ7ZGCVTITC2SWS2F4MAWJ262N \
  | 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: 0e7f930ab344c5a95a5a2f180b275ed369e8199cfb7b5fca2be0a09e05b36b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7027930285c6c13a43535578190a3cee8816f93487bf1a0ef8551613dc7e2c2",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-03-02T21:58:12Z",
    "title_canon_sha256": "34cd0d9b0b96295bb51554cfd3cc7e2f840d58d093ff0527b8891f95a805df5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.02051",
    "kind": "arxiv",
    "version": 2
  }
}