Pith Number

pith:QPHARSYS

pith:2020:QPHARSYS3VOCEPALAPJHB7QCDO

not attested not anchored not stored refs pending

Dissecting Hessian: Understanding Common Structure of Hessian in Neural Networks

Annie Wang, Chenwei Wu, Rong Ge, Xingyu Zhu, Yikai Wu

arxiv:2010.04261 v6 · 2020-10-08 · cs.LG · cs.NE · stat.ML

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\usepackage{pith}
\pithnumber{QPHARSYS3VOCEPALAPJHB7QCDO}

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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

Spectral Asymptotics of Neural Network Loss Landscapes: An Exact Decomposition of the Curvature Exponent

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

On the Convergence Analysis of Muon

Break the Optimization Barrier of LLM-Enhanced Recommenders: A Theoretical Analysis and Practical Framework

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

Receipt and verification

First computed	2026-07-05T05:09:03.733130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ce08cb12dd5c223c0b03d270fe021b97c0c008c3c8b13f55523fcceb116d09

Aliases

arxiv: 2010.04261 · arxiv_version: 2010.04261v6 · doi: 10.48550/arxiv.2010.04261 · pith_short_12: QPHARSYS3VOC · pith_short_16: QPHARSYS3VOCEPAL · pith_short_8: QPHARSYS

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/QPHARSYS3VOCEPALAPJHB7QCDO \
  | 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: 83ce08cb12dd5c223c0b03d270fe021b97c0c008c3c8b13f55523fcceb116d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089dd70b63b41cdc7bbbaa58a7262a82620822489bcfaf8bc7210ae7984d6036",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-10-08T21:18:11Z",
    "title_canon_sha256": "1bd1f93b8351828478db6d3e41302600e52a0a76868f4d0625e26d714dd438a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.04261",
    "kind": "arxiv",
    "version": 6
  }
}