Pith Number

pith:UWRCZMH6

pith:2016:UWRCZMH6ZKMH4ICJTGVH23MGM6

not attested not anchored not stored refs pending

Gradient Descent Only Converges to Minimizers: Non-Isolated Critical Points and Invariant Regions

Georgios Piliouras, Ioannis Panageas

arxiv:1605.00405 v2 · 2016-05-02 · math.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UWRCZMH6ZKMH4ICJTGVH23MGM6}

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

2 papers in Pith

Limitations of Lazy Training of Two-layers Neural Networks

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

Receipt and verification

First computed	2026-05-18T01:12:48.317147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5a22cb0feca987e204999aa7d6d8667b995f7a469cb4bb9a5793952af2b447c

Aliases

arxiv: 1605.00405 · arxiv_version: 1605.00405v2 · doi: 10.48550/arxiv.1605.00405 · pith_short_12: UWRCZMH6ZKMH · pith_short_16: UWRCZMH6ZKMH4ICJ · pith_short_8: UWRCZMH6

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/UWRCZMH6ZKMH4ICJTGVH23MGM6 \
  | 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: a5a22cb0feca987e204999aa7d6d8667b995f7a469cb4bb9a5793952af2b447c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2beb25ac0aff437c0d7d78c6c78ecd8d0fed8e381ebe4574b81ad5d816dfae1",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-02T09:34:19Z",
    "title_canon_sha256": "85f62219de5484afcabc61752c141e2729d90ff3210e998c873ae80fc12ee49f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00405",
    "kind": "arxiv",
    "version": 2
  }
}