Pith Number

pith:O76ONR6G

pith:2018:O76ONR6GDTDBPHDRHIS7VV4H62

not attested not anchored not stored refs pending

The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size

Vardan Papyan

arxiv:1811.07062 v2 · 2018-11-16 · 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{O76ONR6GDTDBPHDRHIS7VV4H62}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

First Exit Time Analysis of Stochastic Gradient Descent Under Heavy-Tailed Gradient Noise

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

Low Rank Based Subspace Inference for the Laplace Approximation of Bayesian Neural Networks

AMUSE: Anytime Muon with Stable Gradient Evaluation

Scaling Laws for Transfer

Receipt and verification

First computed	2026-05-17T23:44:29.905489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77fce6c7c61cc6179c713a25fad787f6aeefeedb6b584df9e05339d1b8cae11f

Aliases

arxiv: 1811.07062 · arxiv_version: 1811.07062v2 · doi: 10.48550/arxiv.1811.07062 · pith_short_12: O76ONR6GDTDB · pith_short_16: O76ONR6GDTDBPHDR · pith_short_8: O76ONR6G

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/O76ONR6GDTDBPHDRHIS7VV4H62 \
  | 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: 77fce6c7c61cc6179c713a25fad787f6aeefeedb6b584df9e05339d1b8cae11f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8770ffc46c3833f944f17d6da36f295c2646f244a4b1f516a9bb8be53ca184",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-11-16T23:22:37Z",
    "title_canon_sha256": "75dc66b111614796b278bfa09dc7b55997ea4537b2a95c3c80fabf97fbbb0e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07062",
    "kind": "arxiv",
    "version": 2
  }
}