Pith Number

pith:VGO5SVEV

pith:2020:VGO5SVEVV6R4QHV4Q4WFNOHC6I

not attested not anchored not stored refs pending

On the Convergence of SGD with Biased Gradients

Ahmad Ajalloeian, Sebastian U. Stich

arxiv:2008.00051 v2 · 2020-07-31 · cs.LG · math.OC · stat.ML

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\usepackage{pith}
\pithnumber{VGO5SVEVV6R4QHV4Q4WFNOHC6I}

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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

9 papers in Pith

Mixed-Precision Communication-Avoiding SGD for Generalized Linear Models on GPUs

Distributed Quantum Learning over Near-term Devices: Convergence Analysis and Security Design

Verification of Machine Unlearning is Fragile

Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothing

UB-SMoE: Universally Balanced Sparse Mixture-of-Experts for Resource-adaptive Federated Fine-tuning of Foundation Models

Receipt and verification

First computed	2026-07-05T02:38:29.747261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99dd95495afa3c81ebc872c56b8e2f22767f91295dcb53650fc4cae0106cb6a

Aliases

arxiv: 2008.00051 · arxiv_version: 2008.00051v2 · doi: 10.48550/arxiv.2008.00051 · pith_short_12: VGO5SVEVV6R4 · pith_short_16: VGO5SVEVV6R4QHV4 · pith_short_8: VGO5SVEV

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/VGO5SVEVV6R4QHV4Q4WFNOHC6I \
  | 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: a99dd95495afa3c81ebc872c56b8e2f22767f91295dcb53650fc4cae0106cb6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ccc7896fa4b7009320286341134cd8b5b0d84606e88523399dc8e05e9ba183",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-07-31T19:37:59Z",
    "title_canon_sha256": "2501f5fd3401c23b94bed2c21dfcdbce86c4bf722f7c7a0c4c9056c22a02a9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.00051",
    "kind": "arxiv",
    "version": 2
  }
}