Pith Number

pith:ZUUMESTN

pith:2019:ZUUMESTNS7HDMCJWR5TS4OQOFU

not attested not anchored not stored refs pending

On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Ga\"el Richard, Levent Sagun, Mert G\"urb\"uzbalaban, Thanh Huy Nguyen, Umut \c{S}im\c{s}ekli

arxiv:1912.00018 v1 · 2019-11-29 · stat.ML · cs.LG · math.CA

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\usepackage{pith}
\pithnumber{ZUUMESTNS7HDMCJWR5TS4OQOFU}

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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

Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance

Convergence of Stochastic Gradient Descent with mini-batching and infinite variance

Receipt and verification

First computed	2026-07-05T00:22:54.290453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd28c24a6d97ce3609368f672e3a0e2d26fc19f33d8934a4f1c2a66d160be6f9

Aliases

arxiv: 1912.00018 · arxiv_version: 1912.00018v1 · doi: 10.48550/arxiv.1912.00018 · pith_short_12: ZUUMESTNS7HD · pith_short_16: ZUUMESTNS7HDMCJW · pith_short_8: ZUUMESTN

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/ZUUMESTNS7HDMCJWR5TS4OQOFU \
  | 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: cd28c24a6d97ce3609368f672e3a0e2d26fc19f33d8934a4f1c2a66d160be6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c3d52bbce9be56c4ba6c3c37ef244a2668b2e8aba158007b6b64d6e2dec87ac",
    "cross_cats_sorted": [
      "cs.LG",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-11-29T16:56:02Z",
    "title_canon_sha256": "3af76bde47635e27cc1cee567bcdb31bb9d6722e8ea45bfc38aff7e8d922c3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00018",
    "kind": "arxiv",
    "version": 1
  }
}