Pith Number

pith:XM3SW3D5

pith:2026:XM3SW3D5JMFNWLPJ2CMXJWF762

not attested not anchored not stored refs pending

Improved Convergence Analysis of Topology Dependence in Decentralized SGD

Anastasia Koloskova, Sebastian U. Stich, Yuki Takezawa

arxiv:2606.09154 v1 · 2026-06-08 · 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{XM3SW3D5JMFNWLPJ2CMXJWF762}

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	2026-06-09T02:08:03.351766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb372b6c7d4b0adb2de9d09974d8bff693c679056c76b7eb3ee7ce104c9aaff3

Aliases

arxiv: 2606.09154 · arxiv_version: 2606.09154v1 · doi: 10.48550/arxiv.2606.09154 · pith_short_12: XM3SW3D5JMFN · pith_short_16: XM3SW3D5JMFNWLPJ · pith_short_8: XM3SW3D5

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/XM3SW3D5JMFNWLPJ2CMXJWF762 \
  | 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: bb372b6c7d4b0adb2de9d09974d8bff693c679056c76b7eb3ee7ce104c9aaff3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c89e0ec493df468306dd4df8e7be212a788fd955952f7dd34c58900195b61100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-08T07:46:47Z",
    "title_canon_sha256": "66defc3dc35f74699c8f5b0a287154c9379ed63bee76ea72565c3a5d023be139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09154",
    "kind": "arxiv",
    "version": 1
  }
}