Pith Number

pith:DJLO33U7

pith:2025:DJLO33U7VR44QUYGAPRDI2ENAD

not attested not anchored not stored refs pending

Non-convergence to the optimal risk for Adam and stochastic gradient descent optimization in the training of deep neural networks

Adrian Riekert, Arnulf Jentzen, Thang Do

arxiv:2503.01660 v1 · 2025-03-03 · cs.LG · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJLO33U7VR44QUYGAPRDI2ENAD}

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.

Receipt and verification

First computed	2026-07-05T10:23:11.834056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a56edee9fac79c8530603e234688d00c044156468615c9484bd33aa28de02a0

Aliases

arxiv: 2503.01660 · arxiv_version: 2503.01660v1 · doi: 10.48550/arxiv.2503.01660 · pith_short_12: DJLO33U7VR44 · pith_short_16: DJLO33U7VR44QUYG · pith_short_8: DJLO33U7

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/DJLO33U7VR44QUYGAPRDI2ENAD \
  | 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: 1a56edee9fac79c8530603e234688d00c044156468615c9484bd33aa28de02a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e64080957648641c9674c081c8514447ef0403ed03fe57c5908b2b95c5865a0",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-03T15:36:01Z",
    "title_canon_sha256": "4b8a62738a8d99781584007a281ee76551c52dc77d6872a9d49382a2512a8206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.01660",
    "kind": "arxiv",
    "version": 1
  }
}