Pith Number

pith:2ASBVTSV

pith:2025:2ASBVTSVHGO32LH5RI64VNI4OI

not attested not anchored not stored refs pending

High Probability Convergence of Distributed Clipped Stochastic Gradient Descent with Heavy-tailed Noise

Kaihong Lu, Long Wang, Yuchen Yang

arxiv:2506.11647 v2 · 2025-06-13 · 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{2ASBVTSVHGO32LH5RI64VNI4OI}

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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

2 papers in Pith

High-Probability Convergence Guarantees of Decentralized SGD

Receipt and verification

First computed	2026-07-05T11:23:29.970705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0241ace55399dbd2cfd8a3dcab51c72276696ff2b28b2af00b5377578422303

Aliases

arxiv: 2506.11647 · arxiv_version: 2506.11647v2 · doi: 10.48550/arxiv.2506.11647 · pith_short_12: 2ASBVTSVHGO3 · pith_short_16: 2ASBVTSVHGO32LH5 · pith_short_8: 2ASBVTSV

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/2ASBVTSVHGO32LH5RI64VNI4OI \
  | 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: d0241ace55399dbd2cfd8a3dcab51c72276696ff2b28b2af00b5377578422303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc28b889dc3788f7650b0dd70ffa0ada3dc94026e4da6e83b5db3720e3f41185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-13T10:22:22Z",
    "title_canon_sha256": "94d14bd1fc0339c019c748be60267e33cf0f48d1ebbd3a27e6e3394e7554b139"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11647",
    "kind": "arxiv",
    "version": 2
  }
}