Pith Number

pith:R6Z6YUXP

pith:2025:R6Z6YUXPG27WT2LT2DHSZROPJZ

not attested not anchored not stored refs pending

Convergence Analysis of the Last Iterate in Distributed Stochastic Gradient Descent with Momentum

Bo Zhang, Difei Cheng, Hong Qiao, Ruinan Jin

arxiv:2505.10889 v1 · 2025-05-16 · 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{R6Z6YUXPG27WT2LT2DHSZROPJZ}

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	2026-07-05T11:04:07.699796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb3ec52ef36bf69e973d0cf2cc5cf4e755f7da0151415609a98aa04d99b178a

Aliases

arxiv: 2505.10889 · arxiv_version: 2505.10889v1 · doi: 10.48550/arxiv.2505.10889 · pith_short_12: R6Z6YUXPG27W · pith_short_16: R6Z6YUXPG27WT2LT · pith_short_8: R6Z6YUXP

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/R6Z6YUXPG27WT2LT2DHSZROPJZ \
  | 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: 8fb3ec52ef36bf69e973d0cf2cc5cf4e755f7da0151415609a98aa04d99b178a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244cca16630bba5628038f75626558229885c15716032f1d93c18d7e06430062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-16T05:52:12Z",
    "title_canon_sha256": "70026fa5b190633fdb858134f6986b51eee2a84490c8de1178d800a47b6ee07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10889",
    "kind": "arxiv",
    "version": 1
  }
}