Pith Number

pith:DZQUH6C5

pith:2024:DZQUH6C5PWLFGUWWNIBOOL33G7

not attested not anchored not stored refs pending

Non-convergence to global minimizers for Adam and stochastic gradient descent optimization and constructions of local minimizers in the training of artificial neural networks

Adrian Riekert, Arnulf Jentzen

arxiv:2402.05155 v1 · 2024-02-07 · math.OC · 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{DZQUH6C5PWLFGUWWNIBOOL33G7}

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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

Constructive Universal Approximation and Sure Convergence for Multi-Layer Neural Networks

Receipt and verification

First computed	2026-07-05T07:42:45.497214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6143f85d7d965352d66a02e72f7b37f66771c8103c64e61acb5b0bd2d36460

Aliases

arxiv: 2402.05155 · arxiv_version: 2402.05155v1 · doi: 10.48550/arxiv.2402.05155 · pith_short_12: DZQUH6C5PWLF · pith_short_16: DZQUH6C5PWLFGUWW · pith_short_8: DZQUH6C5

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/DZQUH6C5PWLFGUWWNIBOOL33G7 \
  | 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: 1e6143f85d7d965352d66a02e72f7b37f66771c8103c64e61acb5b0bd2d36460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8509f896df970e5536d0adf02f0a2d975f063b0d1880ce9fea53fdff83425fc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-02-07T16:14:04Z",
    "title_canon_sha256": "e1c2a3913d877849f453c8f61b0c518d9c92eca905dcde76cc5f7308bb5ab2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.05155",
    "kind": "arxiv",
    "version": 1
  }
}