Pith Number

pith:HJ4SNSGZ

pith:2022:HJ4SNSGZPBPO732KHHJEK45H6Y

not attested not anchored not stored refs pending

Universal characteristics of deep neural network loss surfaces from random matrix theory

Diego Granziol, Francesco Mezzadri, Jonathan P Keating, Joseph Najnudel, Nicholas P Baskerville

arxiv:2205.08601 v2 · 2022-05-17 · math-ph · cond-mat.dis-nn · cs.LG · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJ4SNSGZPBPO732KHHJEK45H6Y}

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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

Dyson Brownian motion and random matrix dynamics of weight matrices during learning

Receipt and verification

First computed	2026-07-05T10:50:27.985802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a7926c8d9785eefef4a39d24573a7f610a6d4540f15e0dbc9565e214fc395f7

Aliases

arxiv: 2205.08601 · arxiv_version: 2205.08601v2 · doi: 10.48550/arxiv.2205.08601 · pith_short_12: HJ4SNSGZPBPO · pith_short_16: HJ4SNSGZPBPO732K · pith_short_8: HJ4SNSGZ

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/HJ4SNSGZPBPO732KHHJEK45H6Y \
  | 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: 3a7926c8d9785eefef4a39d24573a7f610a6d4540f15e0dbc9565e214fc395f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9393a47127f5171c69a2c14d2c307ac880cd81dd9f5825a82eddcbce361b696d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-05-17T19:42:23Z",
    "title_canon_sha256": "1922d68063e72e1d495fef236f96eb661b9db83cd9e4c5e6cb868d18e9da2c05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.08601",
    "kind": "arxiv",
    "version": 2
  }
}