Pith Number

pith:XGZ3CW7F

pith:2023:XGZ3CW7F267PCFSOKLKW5QO6HW

not attested not anchored not stored refs pending

A Theoretical and Empirical Study on the Convergence of Adam with an "Exact" Constant Step Size in Non-Convex Settings

Alokendu Mazumder, Bhartendu Kumar, Manan Tayal, Punit Rathore, Rishabh Sabharwal

arxiv:2309.08339 v3 · 2023-09-15 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGZ3CW7F267PCFSOKLKW5QO6HW}

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	2026-07-05T08:04:14.490038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9b3b15be5d7bef1164e52d56ec1de3d86b4c29918df7524ff6c9e9d1930c69e

Aliases

arxiv: 2309.08339 · arxiv_version: 2309.08339v3 · doi: 10.48550/arxiv.2309.08339 · pith_short_12: XGZ3CW7F267P · pith_short_16: XGZ3CW7F267PCFSO · pith_short_8: XGZ3CW7F

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/XGZ3CW7F267PCFSOKLKW5QO6HW \
  | 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: b9b3b15be5d7bef1164e52d56ec1de3d86b4c29918df7524ff6c9e9d1930c69e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd2366ae19670598da469416d3a9628e198787746779443c65aa4966f0dd1f3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-09-15T11:47:14Z",
    "title_canon_sha256": "4d0f447fbcbaa3bc45cc4164423e6280956372b385a70b8b61e61f8a9bf6d10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.08339",
    "kind": "arxiv",
    "version": 3
  }
}