Pith Number

pith:D2HSZHQ4

pith:2022:D2HSZHQ4QAW6XGOAV7VH6LTK6L

not attested not anchored not stored refs pending

SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Aparna Gupte, Tomaso Poggio, Tomer Galanti, Zachary S. Siegel

arxiv:2206.05794 v7 · 2022-06-12 · cs.LG · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2HSZHQ4QAW6XGOAV7VH6LTK6L}

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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

6 papers in Pith

Reversible Foundations: Training a 120B Sparse MoE through State-Preserving Scaling

Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reduction

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics

Does Weight Decay Enhance Training Stability?

Receipt and verification

First computed	2026-07-05T09:22:35.833272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8f2c9e1c802deb99c0afea7f2e6af2e9ce84b89a08aca32e5da3effefcc1d3

Aliases

arxiv: 2206.05794 · arxiv_version: 2206.05794v7 · doi: 10.48550/arxiv.2206.05794 · pith_short_12: D2HSZHQ4QAW6 · pith_short_16: D2HSZHQ4QAW6XGOA · pith_short_8: D2HSZHQ4

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/D2HSZHQ4QAW6XGOAV7VH6LTK6L \
  | 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: 1e8f2c9e1c802deb99c0afea7f2e6af2e9ce84b89a08aca32e5da3effefcc1d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591d5f67b26456dd05dd7e9088212b72d1cf48c2872e1a796532bc40af12767f",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-12T17:06:35Z",
    "title_canon_sha256": "63774584c42548eefae390f02839fd2029f9e1050d17d086d69cde7d26049cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.05794",
    "kind": "arxiv",
    "version": 7
  }
}