Pith Number

pith:6XQG22ES

pith:2018:6XQG22ESVX2CZZKSXHH234VIFP

not attested not anchored not stored refs pending

On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Amos Storkey, Asja Fischer, Nicolas Ballas, Stanis{\l}aw Jastrz\k{e}bski, Yoshua Bengio, Zachary Kenton

arxiv:1807.05031 v6 · 2018-07-13 · stat.ML · cs.LG

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\usepackage{pith}
\pithnumber{6XQG22ESVX2CZZKSXHH234VIFP}

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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

Edge of Stability Selectively Shapes Learning Across the Data Distribution

Characterizing Optimizer-Dependent Training Dynamics Through Hessian Eigenvector Displacement and Localization

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics

Does Weight Decay Enhance Training Stability?

Receipt and verification

First computed	2026-07-05T00:27:56.929284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e06d6892adf42ce552b9cfadf2a82be5ba1a505f3b839177d19b38b36bcaac

Aliases

arxiv: 1807.05031 · arxiv_version: 1807.05031v6 · doi: 10.48550/arxiv.1807.05031 · pith_short_12: 6XQG22ESVX2C · pith_short_16: 6XQG22ESVX2CZZKS · pith_short_8: 6XQG22ES

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/6XQG22ESVX2CZZKSXHH234VIFP \
  | 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: f5e06d6892adf42ce552b9cfadf2a82be5ba1a505f3b839177d19b38b36bcaac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d0f41e068a10d503aa40bbc64ab4da84aa6be0b5a7aa8ac3649fa9d561b8ea",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2018-07-13T12:17:41Z",
    "title_canon_sha256": "380136bd379bbc74d79af6accc18702c4b5b8360746b173b3098c12d48fc5049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05031",
    "kind": "arxiv",
    "version": 6
  }
}