Pith Number

pith:LJ4ZJJ53

pith:2025:LJ4ZJJ53WXQ2A73BU5CM5K37DT

not attested not anchored not stored refs pending

Information-theoretic reduction of deep neural networks to linear models in the overparametrized proportional regime

Daria Tieplova, Eleonora Bergamin, Francesco Camilli, Jean Barbier

arxiv:2505.03577 v1 · 2025-05-06 · math.ST · cond-mat.dis-nn · cs.IT · math-ph · math.IT · math.MP · stat.ML · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJ4ZJJ53WXQ2A73BU5CM5K37DT}

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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

Bayesian Inference with Shaped Deep Non-linear MLPs

Receipt and verification

First computed	2026-07-05T10:59:18.686380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7994a7bbb5e1a07f61a744ceab7f1cd16de25f8281599abb98a9280e54a686

Aliases

arxiv: 2505.03577 · arxiv_version: 2505.03577v1 · doi: 10.48550/arxiv.2505.03577 · pith_short_12: LJ4ZJJ53WXQ2 · pith_short_16: LJ4ZJJ53WXQ2A73B · pith_short_8: LJ4ZJJ53

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/LJ4ZJJ53WXQ2A73BU5CM5K37DT \
  | 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: 5a7994a7bbb5e1a07f61a744ceab7f1cd16de25f8281599abb98a9280e54a686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02e7a3a6b7c01a4bc5cfb5133dbf71eb32cd818a745f0223849f265703d08e09",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-05-06T14:36:07Z",
    "title_canon_sha256": "ec517cc23bb671b71a82d19d57425fad424a1a20c4296bb2a66cb63b2177f5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03577",
    "kind": "arxiv",
    "version": 1
  }
}