Pith Number

pith:2XXJU5B4

pith:2016:2XXJU5B4QDFPIDAR3AJQ65OAJU

not attested not anchored not stored refs pending

Eigenvalues of the Hessian in Deep Learning: Singularity and Beyond

Leon Bottou, Levent Sagun, Yann LeCun

arxiv:1611.07476 v2 · 2016-11-22 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XXJU5B4QDFPIDAR3AJQ65OAJU}

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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

13 papers in Pith

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

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

Weight-space symmetry in deep networks gives rise to permutation saddles, connected by equal-loss valleys across the loss landscape

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

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

Receipt and verification

First computed	2026-05-18T00:33:39.505864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ee9a743c80caf40c11d8130f75c04d2ef0b5b488a70d63c765bb9551656859

Aliases

arxiv: 1611.07476 · arxiv_version: 1611.07476v2 · doi: 10.48550/arxiv.1611.07476 · pith_short_12: 2XXJU5B4QDFP · pith_short_16: 2XXJU5B4QDFPIDAR · pith_short_8: 2XXJU5B4

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/2XXJU5B4QDFPIDAR3AJQ65OAJU \
  | 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: d5ee9a743c80caf40c11d8130f75c04d2ef0b5b488a70d63c765bb9551656859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7e287f7483d648e2ff2780a6ff6c012ff9497404b98f1acf2c41c9cb259d54f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-11-22T19:24:49Z",
    "title_canon_sha256": "5c1791bbfeab751510dd51d4afe15da8c093122ce0c50fd35a2a75e4304e8ec8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07476",
    "kind": "arxiv",
    "version": 2
  }
}