Pith Number

pith:KDWDUY6S

pith:2018:KDWDUY6S7I4IK3YRIIFJVXQF3J

not attested not anchored not stored refs pending

Products of Many Large Random Matrices and Gradients in Deep Neural Networks

Boris Hanin, Mihai Nica

arxiv:1812.05994 v1 · 2018-12-14 · math.PR · math-ph · math.MP · 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{KDWDUY6S7I4IK3YRIIFJVXQF3J}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T00:36:17.609408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ec3a63d2fa38856f11420a9ade05da50de24a9aa03fb9ee6dedcfd1ccd969c

Aliases

arxiv: 1812.05994 · arxiv_version: 1812.05994v1 · doi: 10.48550/arxiv.1812.05994 · pith_short_12: KDWDUY6S7I4I · pith_short_16: KDWDUY6S7I4IK3YR · pith_short_8: KDWDUY6S

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/KDWDUY6S7I4IK3YRIIFJVXQF3J \
  | 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: 50ec3a63d2fa38856f11420a9ade05da50de24a9aa03fb9ee6dedcfd1ccd969c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c125974a3841f5d5938465745adf9c2dab0707a75f838408a41184ec8dd45b64",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-14T15:59:34Z",
    "title_canon_sha256": "51d091a9c01be40a8302e9604cb098dab505fe8a7a4f05cccc6d0c902fece9c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05994",
    "kind": "arxiv",
    "version": 1
  }
}