Pith Number

pith:BX5RQDHC

pith:2025:BX5RQDHC5ZA6YOY46YHWAAB3HU

not attested not anchored not stored refs pending

PADAM: Parallel averaged Adam reduces the error for stochastic optimization in scientific machine learning

Adrian Riekert, Arnulf Jentzen, Julian Kranz

arxiv:2505.22085 v1 · 2025-05-28 · math.OC · cs.LG · cs.NA · math.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BX5RQDHC5ZA6YOY46YHWAAB3HU}

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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

Central limit theorem for the averaged Adam optimizer

Receipt and verification

First computed	2026-07-05T11:11:09.638062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dfb180ce2ee41ec3b1cf60f60003b3d161edf8dc8650355cb7c35d2a71ada8a

Aliases

arxiv: 2505.22085 · arxiv_version: 2505.22085v1 · doi: 10.48550/arxiv.2505.22085 · pith_short_12: BX5RQDHC5ZA6 · pith_short_16: BX5RQDHC5ZA6YOY4 · pith_short_8: BX5RQDHC

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/BX5RQDHC5ZA6YOY46YHWAAB3HU \
  | 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: 0dfb180ce2ee41ec3b1cf60f60003b3d161edf8dc8650355cb7c35d2a71ada8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e6328aca9a4d0800ed8336f81c9dc6ee5c8b122668c707091fad15d1b4b16c",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-05-28T08:07:34Z",
    "title_canon_sha256": "8aefc6e39719ed301b1fdc4cc605d98d21472b549f8a89b134fa8d986be2c356"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22085",
    "kind": "arxiv",
    "version": 1
  }
}