Pith Number

pith:I5TRNYLZ

pith:2025:I5TRNYLZS265HCW3TWA4BTCJVW

not attested not anchored not stored refs pending

Sharp higher order convergence rates for the Adam optimizer

Adrian Riekert, Arnulf Jentzen, Steffen Dereich

arxiv:2504.19426 v1 · 2025-04-28 · math.OC · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5TRNYLZS265HCW3TWA4BTCJVW}

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

Global Stability and Step Size Robustness of RMSProp

Adam-SHANG: A Convergent Adam-Type Method for Stochastic Smooth Convex Optimization

Receipt and verification

First computed	2026-07-05T10:54:57.067669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

476716e17996bdd38adb9d81c0cc49ad8c96f0d8e0eed6d1d7dd3c0350ee7989

Aliases

arxiv: 2504.19426 · arxiv_version: 2504.19426v1 · doi: 10.48550/arxiv.2504.19426 · pith_short_12: I5TRNYLZS265 · pith_short_16: I5TRNYLZS265HCW3 · pith_short_8: I5TRNYLZ

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/I5TRNYLZS265HCW3TWA4BTCJVW \
  | 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: 476716e17996bdd38adb9d81c0cc49ad8c96f0d8e0eed6d1d7dd3c0350ee7989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ed8d7cf26b89eb86f9d1c6d74880c2321bd1747cf407e15812c6063ab4e3ac",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-04-28T02:17:50Z",
    "title_canon_sha256": "862d8be55422fe1320d1aa25c8c3eeb5972881c785c798f6b84e73b6a0ca742c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.19426",
    "kind": "arxiv",
    "version": 1
  }
}