Pith Number

pith:IMDQZIJI

pith:2025:IMDQZIJIPEIPN3VMS6VZNB2PLA

not attested not anchored not stored refs pending

Convergence Analysis of the Lion Optimizer in Centralized and Distributed Settings

Lijun Zhang, Wei Jiang

arxiv:2508.12327 v1 · 2025-08-17 · 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{IMDQZIJIPEIPN3VMS6VZNB2PLA}

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

4 papers in Pith

When and Why SignSGD Outperforms SGD: A Theoretical Study Based on $\ell_1$-norm Lower Bounds

Accelerating LMO-Based Optimization via Implicit Gradient Transport

StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Models

CLion: Efficient Cautious Lion Optimizer with Enhanced Generalization

Receipt and verification

First computed	2026-07-05T11:55:03.617421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43070ca1287910f6eeac97ab96874f58378c875a2851314b9d8121f689966b1d

Aliases

arxiv: 2508.12327 · arxiv_version: 2508.12327v1 · doi: 10.48550/arxiv.2508.12327 · pith_short_12: IMDQZIJIPEIP · pith_short_16: IMDQZIJIPEIPN3VM · pith_short_8: IMDQZIJI

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/IMDQZIJIPEIPN3VMS6VZNB2PLA \
  | 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: 43070ca1287910f6eeac97ab96874f58378c875a2851314b9d8121f689966b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e7c5ed943ccd24ac66c11be57fe7fd8973d2dee1c19887323cfd8a7a1984a9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-08-17T10:54:01Z",
    "title_canon_sha256": "d2d4c58cedffe6b371d82f64d5f9a07e8a025dca6d8895554964cce16ab4dfbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12327",
    "kind": "arxiv",
    "version": 1
  }
}