Pith Number

pith:RHDJK25A

pith:2025:RHDJK25A7NRYKQQC57Q35JB4UZ

not attested not anchored not stored refs pending

Grokking at the Edge of Numerical Stability

Lucas Prieto, Melih Barsbey, Pedro A.M. Mediano, Tolga Birdal

arxiv:2501.04697 v2 · 2025-01-08 · cs.LG · cs.AI · cs.CV · 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{RHDJK25A7NRYKQQC57Q35JB4UZ}

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

6 papers in Pith

What Does the Weight Norm Control in Grokking? Logit-Scale Mediation under Cross-Entropy

Dead-Direction Conditioners: Gauge-Equivariant Preconditioning for Deep Networks

Egalitarian Gradient Descent: A Simple Approach to Accelerated Grokking

Reinforcement Learning for Reasoning in Large Language Models with One Training Example

Less is More: Recursive Reasoning with Tiny Networks

Receipt and verification

First computed	2026-07-05T11:04:43.733306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c6956ba0fb63854202efe1bea43ca672380ed53d907e705621b42a22c72a21

Aliases

arxiv: 2501.04697 · arxiv_version: 2501.04697v2 · doi: 10.48550/arxiv.2501.04697 · pith_short_12: RHDJK25A7NRY · pith_short_16: RHDJK25A7NRYKQQC · pith_short_8: RHDJK25A

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/RHDJK25A7NRYKQQC57Q35JB4UZ \
  | 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: 89c6956ba0fb63854202efe1bea43ca672380ed53d907e705621b42a22c72a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d280086f7ecbf98b7f830333543a8f8e8516ff8b5f505cfdef45bb978d4372ac",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-01-08T18:58:48Z",
    "title_canon_sha256": "215cdfb109b560a08ac4d1419136dd6d2c0202d5484f440de0c4124549eebcf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04697",
    "kind": "arxiv",
    "version": 2
  }
}