Pith Number

pith:L34YTFVH

pith:2025:L34YTFVHMBHICOLC3N6GGJ2S3T

not attested not anchored not stored refs pending

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness

Cheng Chen, Luo Luo, Tingkai Jia, Xue Cui

arxiv:2509.08726 v3 · 2025-09-10 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L34YTFVHMBHICOLC3N6GGJ2S3T}

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	2026-06-03T00:05:03.236633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ef98996a7604e813962db7c632752dcd52da979384e71b141f8a04fba1209e5

Aliases

arxiv: 2509.08726 · arxiv_version: 2509.08726v3 · doi: 10.48550/arxiv.2509.08726 · pith_short_12: L34YTFVHMBHI · pith_short_16: L34YTFVHMBHICOLC · pith_short_8: L34YTFVH

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/L34YTFVHMBHICOLC3N6GGJ2S3T \
  | 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: 5ef98996a7604e813962db7c632752dcd52da979384e71b141f8a04fba1209e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4be273853e334ffd53191353e3a42ad0cb0cd72094e89bb97ca770e21325be",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-10T16:17:19Z",
    "title_canon_sha256": "a21f4545a462926b3f6211d2673ded4871878bd579a38317774006cc457de694"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08726",
    "kind": "arxiv",
    "version": 3
  }
}