Pith Number

pith:BPR6OSIY

pith:2023:BPR6OSIY2W5ITOJIWKZOSNA3YZ

not attested not anchored not stored refs pending

Wide Deep Neural Networks with Gaussian Weights are Very Close to Gaussian Processes

Dario Trevisan

arxiv:2312.11737 v1 · 2023-12-18 · math.ST · math.PR · stat.ML · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPR6OSIY2W5ITOJIWKZOSNA3YZ}

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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

5 papers in Pith

Geometric Dyson Brownian Motions and the Free Log-Normal Limit for a Non-Square Gaussian Matrix Product

Bayesian Inference with Shaped Deep Non-linear MLPs

Posterior Bayesian Neural Networks with Dependent Weights

Stochastic Scaling Limits and Synchronization by Noise in Deep Transformer Models

Universality in Deep Neural Networks: An approach via the Lindeberg exchange principle

Receipt and verification

First computed	2026-07-05T07:25:53.604655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be3e74918d5ba89b928b2b2e9341bc671b8f7ca39266edf42d7b36b7ef43f86

Aliases

arxiv: 2312.11737 · arxiv_version: 2312.11737v1 · doi: 10.48550/arxiv.2312.11737 · pith_short_12: BPR6OSIY2W5I · pith_short_16: BPR6OSIY2W5ITOJI · pith_short_8: BPR6OSIY

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/BPR6OSIY2W5ITOJIWKZOSNA3YZ \
  | 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: 0be3e74918d5ba89b928b2b2e9341bc671b8f7ca39266edf42d7b36b7ef43f86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d68bed8e62a72a00f8abb9668b168291abd06a4558d69ae888de805c8792b0e3",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-12-18T22:29:40Z",
    "title_canon_sha256": "a952c9486da6bf7ddef4f39e458da66286b8ef1a81ed69aacb7abb0bba09ba18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.11737",
    "kind": "arxiv",
    "version": 1
  }
}