Pith Number

pith:GGYIGKFX

pith:2025:GGYIGKFXX3TO36KL7QHUZJZQN3

not attested not anchored not stored refs pending

Convergence of Clipped SGD on Convex $(L_0,L_1)$-Smooth Functions

Kfir Yehuda Levy, Ofir Gaash, Yair Carmon

arxiv:2502.16492 v2 · 2025-02-23 · 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{GGYIGKFXX3TO36KL7QHUZJZQN3}

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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

Power of Generalized Smoothness in Stochastic Convex Optimization: First- and Zero-Order Algorithms

Receipt and verification

First computed	2026-07-05T11:14:54.194633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31b08328b7bee6edf94bfc0f4ca7306ecdc300ec8af90513a3703cb925e7f985

Aliases

arxiv: 2502.16492 · arxiv_version: 2502.16492v2 · doi: 10.48550/arxiv.2502.16492 · pith_short_12: GGYIGKFXX3TO · pith_short_16: GGYIGKFXX3TO36KL · pith_short_8: GGYIGKFX

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/GGYIGKFXX3TO36KL7QHUZJZQN3 \
  | 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: 31b08328b7bee6edf94bfc0f4ca7306ecdc300ec8af90513a3703cb925e7f985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0dcd8c18821463ee082ae155a77456ee938d2128615169422720df880889519",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-02-23T08:09:42Z",
    "title_canon_sha256": "995bfad1118fd8eef8f0e840b842b2b13203d7f569dd050b73ae9fd7c37fdd10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.16492",
    "kind": "arxiv",
    "version": 2
  }
}