Pith Number

pith:NAIME6TM

pith:2023:NAIME6TMY6ZJJ4FIMXN4RNNPWI

not attested not anchored not stored refs pending

Depthwise Hyperparameter Transfer in Residual Networks: Dynamics and Scaling Limit

Blake Bordelon, Boris Hanin, Cengiz Pehlevan, Lorenzo Noci, Mufan Bill Li

arxiv:2309.16620 v2 · 2023-09-28 · stat.ML · cond-mat.dis-nn · cs.AI · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAIME6TMY6ZJJ4FIMXN4RNNPWI}

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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

2 papers in Pith

Theory of Optimal Learning Rate Schedules and Scaling Laws for a Random Feature Model

There Will Be a Scientific Theory of Deep Learning

Receipt and verification

First computed	2026-07-05T07:21:44.996784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6810c27a6cc7b294f0a865dbc8b5afb2322391b822a06ba0f0cf9c90ece40b18

Aliases

arxiv: 2309.16620 · arxiv_version: 2309.16620v2 · doi: 10.48550/arxiv.2309.16620 · pith_short_12: NAIME6TMY6ZJ · pith_short_16: NAIME6TMY6ZJJ4FI · pith_short_8: NAIME6TM

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/NAIME6TMY6ZJJ4FIMXN4RNNPWI \
  | 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: 6810c27a6cc7b294f0a865dbc8b5afb2322391b822a06ba0f0cf9c90ece40b18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9375d78a3563bd362b7ad4ae54f360aa4e435be2561d2edf60d89f5cce59ccc0",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.AI",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-09-28T17:20:50Z",
    "title_canon_sha256": "f5a5b124354b648bf3186e5b90638c776028418f1e242a976e04c9b1e5539330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.16620",
    "kind": "arxiv",
    "version": 2
  }
}