Pith Number

pith:XZ5TPSOO

pith:2026:XZ5TPSOOCZNZPWK3D6H2G72SO5

not attested not anchored not stored refs pending

To Grok Grokking: Provable Grokking in Ridge Regression

Gal Vardi, Itay Safran, Mingyue Xu

arxiv:2601.19791 v3 · 2026-01-27 · cs.LG · 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{XZ5TPSOOCZNZPWK3D6H2G72SO5}

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

2 papers in Pith

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics

Canonical Regularisation of Wide Feature-Learning Neural Networks

Receipt and verification

First computed	2026-06-01T01:02:30.468343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7b37c9ce165b97d95b1f8fa37f52774a1aa55ebd3e834979e148c2b60044fa

Aliases

arxiv: 2601.19791 · arxiv_version: 2601.19791v3 · doi: 10.48550/arxiv.2601.19791 · pith_short_12: XZ5TPSOOCZNZ · pith_short_16: XZ5TPSOOCZNZPWK3 · pith_short_8: XZ5TPSOO

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/XZ5TPSOOCZNZPWK3D6H2G72SO5 \
  | 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: be7b37c9ce165b97d95b1f8fa37f52774a1aa55ebd3e834979e148c2b60044fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66930f87d0c277ca536f53262ec57a9dbaf02be41344cf4179f79db25c41704",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-27T16:52:04Z",
    "title_canon_sha256": "c290ae109118b5431370cbc97544cd6fbd2d17471441cfe247eaff53ade802ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.19791",
    "kind": "arxiv",
    "version": 3
  }
}