Pith Number

pith:2RGH7RJD

pith:2016:2RGH7RJDZMA7QBZXCNG5ZVCDTD

not attested not anchored not stored refs pending

Gradient Descent Converges to Minimizers

Benjamin Recht, Jason D. Lee, Max Simchowitz, Michael I. Jordan

arxiv:1602.04915 v2 · 2016-02-16 · stat.ML · cs.LG · 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{2RGH7RJDZMA7QBZXCNG5ZVCDTD}

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

3 papers in Pith

Combining Stochastic Adaptive Cubic Regularization with Negative Curvature for Nonconvex Optimization

Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape

Accelerated Gradient Methods for Nonconvex Optimization: Escape Trajectories From Strict Saddle Points and Convergence to Local Minima

Receipt and verification

First computed	2026-05-18T01:19:38.145161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44c7fc523cb01f80737134ddcd44398ee5e899e35c0681b57773165c48b4c10

Aliases

arxiv: 1602.04915 · arxiv_version: 1602.04915v2 · doi: 10.48550/arxiv.1602.04915 · pith_short_12: 2RGH7RJDZMA7 · pith_short_16: 2RGH7RJDZMA7QBZX · pith_short_8: 2RGH7RJD

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/2RGH7RJDZMA7QBZXCNG5ZVCDTD \
  | 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: d44c7fc523cb01f80737134ddcd44398ee5e899e35c0681b57773165c48b4c10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aebdca54beb29fa021df72a9413d79c34e057900efd052a229bed3a576dc5b74",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-02-16T05:43:31Z",
    "title_canon_sha256": "cb2fce1f91bd1665782be7d64bb230707a8b49c9323d16ce0414e508c9a4027a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04915",
    "kind": "arxiv",
    "version": 2
  }
}