Pith Number

pith:HQJE2HMG

pith:2025:HQJE2HMGP7RXZQZDBZQLXKU3L2

not attested not anchored not stored refs pending

Grokking Explained: A Statistical Phenomenon

Artur S. d'Avila Garcez, Breno W. Carvalho, Em\'ilio Vital Brazil, Lu\'is C. Lamb

arxiv:2502.01774 v1 · 2025-02-03 · 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{HQJE2HMGP7RXZQZDBZQLXKU3L2}

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

Topological Signatures of Grokking

Receipt and verification

First computed	2026-07-05T10:09:18.882883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c124d1d867fe37cc3230e60bbaa9b5e8b1174394fa375fef6fe8fb63a9dcb4e

Aliases

arxiv: 2502.01774 · arxiv_version: 2502.01774v1 · doi: 10.48550/arxiv.2502.01774 · pith_short_12: HQJE2HMGP7RX · pith_short_16: HQJE2HMGP7RXZQZD · pith_short_8: HQJE2HMG

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/HQJE2HMGP7RXZQZDBZQLXKU3L2 \
  | 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: 3c124d1d867fe37cc3230e60bbaa9b5e8b1174394fa375fef6fe8fb63a9dcb4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529a820ac4ac00333de56aab3d6db757658693a152535e3bfb54e279176d6a39",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-03T19:28:11Z",
    "title_canon_sha256": "da4017afa373115508b04b156bcb0f5319310718f0e7d2cdda81d297ea8e64c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01774",
    "kind": "arxiv",
    "version": 1
  }
}