Pith Number

pith:WKA57EZJ

pith:2019:WKA57EZJTLMD72RZHVH35D4QL6

not attested not anchored not stored refs pending

Lower Bounds for Smooth Nonconvex Finite-Sum Optimization

Dongruo Zhou, Quanquan Gu

arxiv:1901.11224 v1 · 2019-01-31 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKA57EZJTLMD72RZHVH35D4QL6}

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	2026-05-17T23:55:02.394357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b281df93299ad83fea393d4fbe8f905f8252207a9ee8777647798c2b15291bd9

Aliases

arxiv: 1901.11224 · arxiv_version: 1901.11224v1 · doi: 10.48550/arxiv.1901.11224 · pith_short_12: WKA57EZJTLMD · pith_short_16: WKA57EZJTLMD72RZ · pith_short_8: WKA57EZJ

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/WKA57EZJTLMD72RZHVH35D4QL6 \
  | 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: b281df93299ad83fea393d4fbe8f905f8252207a9ee8777647798c2b15291bd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0d1d50295920cd1a12b713e1eb4a03990345235c136910fdd935800049145ca",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-01-31T06:16:45Z",
    "title_canon_sha256": "deed7ed28a5c7f8db142380042079f54d6a8e7af0ee498a1a8023cc7f7d6a0b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11224",
    "kind": "arxiv",
    "version": 1
  }
}