Pith Number

pith:ZRHMPFY4

pith:2019:ZRHMPFY4GTSMUV4GOT3SNBZO6M

not attested not anchored not stored refs pending

On the Computation and Communication Complexity of Parallel SGD with Dynamic Batch Sizes for Stochastic Non-Convex Optimization

Hao Yu, Rong Jin

arxiv:1905.04346 v1 · 2019-05-10 · math.OC · 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{ZRHMPFY4GTSMUV4GOT3SNBZO6M}

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	2026-05-17T23:46:25.263144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc4ec7971c34e4ca578674f726872ef33f460258d8bf834183a7178f1f5e0f6f

Aliases

arxiv: 1905.04346 · arxiv_version: 1905.04346v1 · doi: 10.48550/arxiv.1905.04346 · pith_short_12: ZRHMPFY4GTSM · pith_short_16: ZRHMPFY4GTSMUV4G · pith_short_8: ZRHMPFY4

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/ZRHMPFY4GTSMUV4GOT3SNBZO6M \
  | 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: cc4ec7971c34e4ca578674f726872ef33f460258d8bf834183a7178f1f5e0f6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6cfab8169f98db520127d0e83768035b29d3ef76832cb923da2457a3960e39",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-05-10T19:08:26Z",
    "title_canon_sha256": "ee0ec8e8ae3ddfb5036eb029e0e6bb79f392eae1467986ad23cad84a5b9bd766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04346",
    "kind": "arxiv",
    "version": 1
  }
}