Pith Number

pith:BERW4YOD

pith:2024:BERW4YODFW7WZ6EWO6S7K73YQC

not attested not anchored not stored refs pending

Non-convergence of Adam and other adaptive stochastic gradient descent optimization methods for non-vanishing learning rates

Arnulf Jentzen, Robin Graeber, Steffen Dereich

arxiv:2407.08100 v1 · 2024-07-11 · cs.LG · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BERW4YODFW7WZ6EWO6S7K73YQC}

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

Central limit theorem for the averaged Adam optimizer

Receipt and verification

First computed	2026-07-05T08:42:43.200984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09236e61c32dbf6cf89677a5f57f788082d6c7b21d0cd3d8776852de328130a3

Aliases

arxiv: 2407.08100 · arxiv_version: 2407.08100v1 · doi: 10.48550/arxiv.2407.08100 · pith_short_12: BERW4YODFW7W · pith_short_16: BERW4YODFW7WZ6EW · pith_short_8: BERW4YOD

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/BERW4YODFW7WZ6EWO6S7K73YQC \
  | 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: 09236e61c32dbf6cf89677a5f57f788082d6c7b21d0cd3d8776852de328130a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5328e59051711f03dd78ce2d5410bfb134f3b90ffd70841af8d2e0b1a0495851",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-07-11T00:10:35Z",
    "title_canon_sha256": "30a277e0a27112887f14a4fa774a310756a599897c4e8469f5bfafc2a6bc2baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.08100",
    "kind": "arxiv",
    "version": 1
  }
}