Pith Number

pith:SSWST7SU

pith:2025:SSWST7SUA24LOWMN4DKSQXIMTA

not attested not anchored not stored refs pending

Deep Linear Network Training Dynamics from Random Initialization: Data, Width, Depth, and Hyperparameter Transfer

Blake Bordelon, Cengiz Pehlevan

arxiv:2502.02531 v3 · 2025-02-04 · cs.LG · cond-mat.dis-nn · 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{SSWST7SUA24LOWMN4DKSQXIMTA}

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

4 papers in Pith

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer

How to Scale Mixture-of-Experts: From muP to the Maximally Scale-Stable Parameterization

There Will Be a Scientific Theory of Deep Learning

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer

Receipt and verification

First computed	2026-07-05T11:22:17.598713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94ad29fe5406b8b7598de0d5285d0c982769b9028f4e34bbd6e9afbf0136277a

Aliases

arxiv: 2502.02531 · arxiv_version: 2502.02531v3 · doi: 10.48550/arxiv.2502.02531 · pith_short_12: SSWST7SUA24L · pith_short_16: SSWST7SUA24LOWMN · pith_short_8: SSWST7SU

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/SSWST7SUA24LOWMN4DKSQXIMTA \
  | 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: 94ad29fe5406b8b7598de0d5285d0c982769b9028f4e34bbd6e9afbf0136277a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4079893b02044da9ffc4369c42c96839850ea664bf929935a3fb8ce17d1c328",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-04T17:50:55Z",
    "title_canon_sha256": "4db3ed34b4531256c106b3d6ee26126d7310ca90227fd4c26af2edcd45a1f367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02531",
    "kind": "arxiv",
    "version": 3
  }
}