Pith Number

pith:ZCBQG2EU

pith:2024:ZCBQG2EUJWVTGY472BUBYSA3BC

not attested not anchored not stored refs pending

Proportional infinite-width infinite-depth limit for deep linear neural networks

Federico Bassetti, Lucia Ladelli, Pietro Rotondo

arxiv:2411.15267 v1 · 2024-11-22 · stat.ML · cond-mat.dis-nn · cs.LG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCBQG2EUJWVTGY472BUBYSA3BC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

2 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

Receipt and verification

First computed	2026-07-05T09:39:32.101985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8830368944dab33639fd0681c481b088ac65d2a6d79f08b8f29984f76f1bc6f

Aliases

arxiv: 2411.15267 · arxiv_version: 2411.15267v1 · doi: 10.48550/arxiv.2411.15267 · pith_short_12: ZCBQG2EUJWVT · pith_short_16: ZCBQG2EUJWVTGY47 · pith_short_8: ZCBQG2EU

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/ZCBQG2EUJWVTGY472BUBYSA3BC \
  | 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: c8830368944dab33639fd0681c481b088ac65d2a6d79f08b8f29984f76f1bc6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26b826e072105d62481084f46eb03e19489961f177e13e958aea8d4420f18bad",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-11-22T11:25:52Z",
    "title_canon_sha256": "428a759ab551cb899e1c83a06890d574cba43d729de0d32bf837e9162b16f7a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15267",
    "kind": "arxiv",
    "version": 1
  }
}