Pith Number

pith:CB77XFHP

pith:2022:CB77XFHP7YBWGETYFU443TT4YE

not attested not anchored not stored refs pending

On the Power-Law Hessian Spectrums in Deep Learning

Mingming Sun, Ping Li, Qian-Yuan Tang, Yunfeng Cai, Zeke Xie

arxiv:2201.13011 v2 · 2022-01-31 · cs.LG · physics.bio-ph · q-bio.BM

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CB77XFHP7YBWGETYFU443TT4YE}

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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

4 papers in Pith

Closed-Form Steepest Descent Direction toward Flat Minima: Reducing Upper Bounds on the Loss Hessian Eigenspectrum in Neural Networks

Why can genetic algorithms work in high-dimensional search spaces?

Fast Gauss-Newton for Multiclass Cross-Entropy

Wolkowicz-Styan Upper Bound on the Hessian Eigenspectrum for Cross-Entropy Loss in Nonlinear Smooth Neural Networks

Receipt and verification

First computed	2026-07-05T04:45:00.147414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

107ffb94effe036312782d39cdce7cc1066d7ff5bbb19c74f5879f7095016c5a

Aliases

arxiv: 2201.13011 · arxiv_version: 2201.13011v2 · doi: 10.48550/arxiv.2201.13011 · pith_short_12: CB77XFHP7YBW · pith_short_16: CB77XFHP7YBWGETY · pith_short_8: CB77XFHP

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/CB77XFHP7YBWGETYFU443TT4YE \
  | 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: 107ffb94effe036312782d39cdce7cc1066d7ff5bbb19c74f5879f7095016c5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b81a0773a3f6d97cae038666e1772900c5f4c69df123d66695c256dcf53dc6f8",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.BM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-01-31T06:04:47Z",
    "title_canon_sha256": "0728ae1150bbb34ff18d576312732ab3a6f1e188d2050b56df6fb2dd495bbc33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.13011",
    "kind": "arxiv",
    "version": 2
  }
}