Pith Number

pith:NAJMIVMA

pith:2023:NAJMIVMAZB4YIFW5KG2OVINGSB

not attested not anchored not stored refs pending

Grokking as the Transition from Lazy to Rich Training Dynamics

Blake Bordelon, Cengiz Pehlevan, Samuel J. Gershman, Tanishq Kumar

arxiv:2310.06110 v3 · 2023-10-09 · stat.ML · cond-mat.dis-nn · 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{NAJMIVMAZB4YIFW5KG2OVINGSB}

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

8 papers in Pith

At-Grok Is Not Converged:A Measurement-Validity Audit for Grokking Representation Metrics

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

Learning as Observable Matrix Dynamics: Diffusive Relaxations versus Phase Transitions

A Systematic Study of Behavioral Cloning for Scientific Data Annotation

Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking

Receipt and verification

First computed	2026-07-05T08:06:43.423629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6812c45580c8798416dd51b4eaa1a6907180e9160430b78d61623a84e8d79079

Aliases

arxiv: 2310.06110 · arxiv_version: 2310.06110v3 · doi: 10.48550/arxiv.2310.06110 · pith_short_12: NAJMIVMAZB4Y · pith_short_16: NAJMIVMAZB4YIFW5 · pith_short_8: NAJMIVMA

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/NAJMIVMAZB4YIFW5KG2OVINGSB \
  | 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: 6812c45580c8798416dd51b4eaa1a6907180e9160430b78d61623a84e8d79079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e232bfadf113a6494915d0d15a2c6792d603d0bad0cc8322e9ddd54671c2fd",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-10-09T19:33:21Z",
    "title_canon_sha256": "83498b282a9ef462c8c07e23d5cdce6f0c38b6bb99647f700c0b18f2b16c251e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06110",
    "kind": "arxiv",
    "version": 3
  }
}