Pith Number

pith:5EQ5CE6N

pith:2024:5EQ5CE6NZ6CAC4UMQ7VTROWVJQ

not attested not anchored not stored refs pending

Understanding Gradient Descent through the Training Jacobian

Adam Scherlis, Nora Belrose

arxiv:2412.07003 v2 · 2024-12-09 · 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{5EQ5CE6NZ6CAC4UMQ7VTROWVJQ}

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

1 paper in Pith

Estimating the Probability of Sampling a Trained Neural Network at Random

Receipt and verification

First computed	2026-07-05T09:47:38.472017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e921d113cdcf8401728c87eb38bad54c281355eeb7d9ef0ea04ef2f930d144ed

Aliases

arxiv: 2412.07003 · arxiv_version: 2412.07003v2 · doi: 10.48550/arxiv.2412.07003 · pith_short_12: 5EQ5CE6NZ6CA · pith_short_16: 5EQ5CE6NZ6CAC4UM · pith_short_8: 5EQ5CE6N

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/5EQ5CE6NZ6CAC4UMQ7VTROWVJQ \
  | 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: e921d113cdcf8401728c87eb38bad54c281355eeb7d9ef0ea04ef2f930d144ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba21dea04315d4ab81d5da68b38e02d085a31d4cb710f45b7844f8a326b58aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-12-09T21:17:00Z",
    "title_canon_sha256": "a188ef1c18a9406db41ae05f0e5d1ee5c84c55bc2cd6ee6323fd9a4521eed9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07003",
    "kind": "arxiv",
    "version": 2
  }
}