Pith Number

pith:IUMKF47M

pith:2016:IUMKF47MCWYY647CNOOEG5BEG3

not attested not anchored not stored refs pending

The Power of Normalization: Faster Evasion of Saddle Points

Kfir Y. Levy

arxiv:1611.04831 v1 · 2016-11-15 · cs.LG · math.OC · 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{IUMKF47MCWYY647CNOOEG5BEG3}

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

4 papers in Pith

Memory-Efficient LLM Pretraining via Minimalist Optimizer Design

Adaptive Federated Optimization

Function-free Optimization via Comparison Oracles

Accelerated Gradient Descent for Faster Convergence with Minimal Overhead

Receipt and verification

First computed	2026-05-18T00:57:36.979298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4518a2f3ec15b18f73e26b9c43742436eafe64481c5f7b457d2e74d8ec3ab53f

Aliases

arxiv: 1611.04831 · arxiv_version: 1611.04831v1 · doi: 10.48550/arxiv.1611.04831 · pith_short_12: IUMKF47MCWYY · pith_short_16: IUMKF47MCWYY647C · pith_short_8: IUMKF47M

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/IUMKF47MCWYY647CNOOEG5BEG3 \
  | 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: 4518a2f3ec15b18f73e26b9c43742436eafe64481c5f7b457d2e74d8ec3ab53f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e25280b07c443b8d5a3f970279a8633966845a9d2e78eae28bd7e5b72920cdd7",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-11-15T13:56:24Z",
    "title_canon_sha256": "b50a96d0e64e892b15c52fbad8ab6645c3cdaa37195cbbe75ac829cf450c9661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04831",
    "kind": "arxiv",
    "version": 1
  }
}