Pith Number

pith:YF2NDNA4

pith:2019:YF2NDNA4LI6DYLUY4GXPYKXPP7

not attested not anchored not stored refs pending

On the Convergence of (Stochastic) Gradient Descent with Extrapolation for Non-Convex Optimization

Rong Jin, Sen Yang, Tianbao Yang, Yi Xu, Zhuoning Yuan

arxiv:1901.10682 v2 · 2019-01-30 · 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{YF2NDNA4LI6DYLUY4GXPYKXPP7}

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	2026-05-17T23:54:42.385324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c174d1b41c5a3c3c2e98e1aefc2aef7fd0bc45882abfa40e51cf49c14cb2499a

Aliases

arxiv: 1901.10682 · arxiv_version: 1901.10682v2 · doi: 10.48550/arxiv.1901.10682 · pith_short_12: YF2NDNA4LI6D · pith_short_16: YF2NDNA4LI6DYLUY · pith_short_8: YF2NDNA4

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/YF2NDNA4LI6DYLUY4GXPYKXPP7 \
  | 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: c174d1b41c5a3c3c2e98e1aefc2aef7fd0bc45882abfa40e51cf49c14cb2499a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63fbce6751ebb8a864fadc48bba18d016219f346a7d073225e82502a2dc804dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-30T05:59:17Z",
    "title_canon_sha256": "22a83abb25886e51e9ad6470b645bee19e17bb5121f64c689319529dd227d227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10682",
    "kind": "arxiv",
    "version": 2
  }
}