Pith Number

pith:YQ3QBOSG

pith:2015:YQ3QBOSGNP5KLOFOM3RS4RMDRT

not attested not anchored not stored refs pending

Optimizing Neural Networks with Kronecker-factored Approximate Curvature

James Martens, Roger Grosse

arxiv:1503.05671 v7 · 2015-03-19 · cs.LG · cs.NE · stat.ML

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\usepackage{pith}
\pithnumber{YQ3QBOSGNP5KLOFOM3RS4RMDRT}

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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

17 papers in Pith

GIFT: Geometry-Informed Low-precision Gradient Communication for LLM Pretraining

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity

Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale

An Optimisation Framework for the Well-Conditioned Training of Physics-Informed Neural Networks

Measuring Dead Directions: Decomposing and Classifying Singular Structure off Canonical Alignment

Receipt and verification

First computed	2026-07-05T01:08:20.040328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c43700ba466bfaa5b8ae66e32e45838cfc6ced2984bf748851f9b42d06986851

Aliases

arxiv: 1503.05671 · arxiv_version: 1503.05671v7 · doi: 10.48550/arxiv.1503.05671 · pith_short_12: YQ3QBOSGNP5K · pith_short_16: YQ3QBOSGNP5KLOFO · pith_short_8: YQ3QBOSG

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/YQ3QBOSGNP5KLOFOM3RS4RMDRT \
  | 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: c43700ba466bfaa5b8ae66e32e45838cfc6ced2984bf748851f9b42d06986851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dec0638b8f821e695a8232e00c15bbef2fb63c3d83e33341f0b215654feda30",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2015-03-19T08:30:24Z",
    "title_canon_sha256": "c6e2a0004252f2169e8ce6856f14a7a1fb3368c25bc02256cc194df6ee1efb60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05671",
    "kind": "arxiv",
    "version": 7
  }
}