Pith Number

pith:F6WDPDUZ

pith:2023:F6WDPDUZRFCG7INP6YSEVL7XRZ

not attested not anchored not stored refs pending

Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking

Jason D. Lee, Jikai Jin, Kaifeng Lyu, Simon S. Du, Wei Hu, Zhiyuan Li

arxiv:2311.18817 v2 · 2023-11-30 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6WDPDUZRFCG7INP6YSEVL7XRZ}

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

5 papers in Pith

Noise-Driven Escape from Metastable Phases explains Grokking in Deep Neural Networks

Slower Generalization, Faster Memorization: A Sweet Spot in Algorithmic Learning

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics

Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking

The Geometry of Multi-Task Grokking: Transverse Instability, Superposition, and Weight Decay Phase Structure

Receipt and verification

First computed	2026-07-05T08:03:08.993960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fac378e9989446fa1aff6244aaff78e6c2505c2f7508824805bed227a1522cf

Aliases

arxiv: 2311.18817 · arxiv_version: 2311.18817v2 · doi: 10.48550/arxiv.2311.18817 · pith_short_12: F6WDPDUZRFCG · pith_short_16: F6WDPDUZRFCG7INP · pith_short_8: F6WDPDUZ

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/F6WDPDUZRFCG7INP6YSEVL7XRZ \
  | 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: 2fac378e9989446fa1aff6244aaff78e6c2505c2f7508824805bed227a1522cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6eb8669af0eebb20c70803b6317c928ed8be640736a27407b3c306dfd43c1b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-11-30T18:55:38Z",
    "title_canon_sha256": "29a84ccc25420f4fc07577ca781978749e47e4bfb94f397720b916d173e6db6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.18817",
    "kind": "arxiv",
    "version": 2
  }
}