Pith Number

pith:5NYFIVUQ

pith:2023:5NYFIVUQSAWQC3HHPYSY4GZEGO

not attested not anchored not stored refs pending

Closing the Gap Between the Upper Bound and the Lower Bound of Adam's Iteration Complexity

Bohan Wang, Huishuai Zhang, Jingwen Fu, Nanning Zheng, Wei Chen

arxiv:2310.17998 v1 · 2023-10-27 · 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{5NYFIVUQSAWQC3HHPYSY4GZEGO}

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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

On the Convergence of Muon and Beyond

Receipt and verification

First computed	2026-07-05T07:05:55.599991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb70545690902d016ce77e258e1b243393342b7fd34b73a075bec4b6e22f687d

Aliases

arxiv: 2310.17998 · arxiv_version: 2310.17998v1 · doi: 10.48550/arxiv.2310.17998 · pith_short_12: 5NYFIVUQSAWQ · pith_short_16: 5NYFIVUQSAWQC3HH · pith_short_8: 5NYFIVUQ

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/5NYFIVUQSAWQC3HHPYSY4GZEGO \
  | 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: eb70545690902d016ce77e258e1b243393342b7fd34b73a075bec4b6e22f687d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f457595b59386c4909d0f8ca35b382ae9016a23f82a7f37f6fd7b43f01790957",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-27T09:16:58Z",
    "title_canon_sha256": "2880c79acfc9fe75d9611c7ab0aae29a184ddd89b6e40d16b8ac56e94be96577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.17998",
    "kind": "arxiv",
    "version": 1
  }
}