Pith Number

pith:H4VRRKJY

pith:2019:H4VRRKJYN4H7SMINLGDLRBG55I

not attested not anchored not stored refs pending

Lower Bounds for Non-Convex Stochastic Optimization

Blake Woodworth, Dylan J. Foster, John C. Duchi, Nathan Srebro, Yair Carmon, Yossi Arjevani

arxiv:1912.02365 v2 · 2019-12-05 · math.OC · cs.IT · cs.LG · math.IT · 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{H4VRRKJYN4H7SMINLGDLRBG55I}

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.

Cited by

1 paper in Pith

Training Deep Learning Models with Norm-Constrained LMOs

Receipt and verification

First computed	2026-07-05T04:00:10.989386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2b18a9386f0ff9310d5986b884ddea2c82548c4921a52860a78224f88a2509

Aliases

arxiv: 1912.02365 · arxiv_version: 1912.02365v2 · doi: 10.48550/arxiv.1912.02365 · pith_short_12: H4VRRKJYN4H7 · pith_short_16: H4VRRKJYN4H7SMIN · pith_short_8: H4VRRKJY

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/H4VRRKJYN4H7SMINLGDLRBG55I \
  | 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: 3f2b18a9386f0ff9310d5986b884ddea2c82548c4921a52860a78224f88a2509

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ef3fd0e7ac9d9b3f8d0a42c78bf08edcf9d0c3a33c2d9d4246b8b8373cc0a7",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-12-05T03:37:44Z",
    "title_canon_sha256": "b16ea3a7c39e95de6c0ca558094ffd9e74e779868da6eb8574f6d041d877b09a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02365",
    "kind": "arxiv",
    "version": 2
  }
}