Pith Number

pith:QB37KGMI

pith:2023:QB37KGMIQQHVVTKIRVXHZTOVKU

not attested not anchored not stored refs pending

Convergence of Adam Under Relaxed Assumptions

Alexander Rakhlin, Ali Jadbabaie, Haochuan Li

arxiv:2304.13972 v3 · 2023-04-27 · math.OC · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QB37KGMIQQHVVTKIRVXHZTOVKU}

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

On the Convergence of Muon and Beyond

Receipt and verification

First computed	2026-07-05T07:09:47.517430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8077f51988840f5acd488d6e7ccdd5551b2b4ce6558fde7e6c074a053098f1d6

Aliases

arxiv: 2304.13972 · arxiv_version: 2304.13972v3 · doi: 10.48550/arxiv.2304.13972 · pith_short_12: QB37KGMIQQHV · pith_short_16: QB37KGMIQQHVVTKI · pith_short_8: QB37KGMI

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/QB37KGMIQQHVVTKIRVXHZTOVKU \
  | 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: 8077f51988840f5acd488d6e7ccdd5551b2b4ce6558fde7e6c074a053098f1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a9a5b7fe5a100e7979d8ec6892b61b0b55186cd5c7bf3e7ed10801791e34974",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-04-27T06:27:37Z",
    "title_canon_sha256": "0c9fdfce2fec9c5b62e16de9e51fbea7deb0fe2aa747ca0765c347a7165aaf99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13972",
    "kind": "arxiv",
    "version": 3
  }
}