Pith Number

pith:JR7N5D5K

pith:2025:JR7N5D5K3HXQYSCUBMNG3CZINO

not attested not anchored not stored refs pending

The Geometry of Grokking: Norm Minimization on the Zero-Loss Manifold

Tiberiu Musat

arxiv:2511.01938 v3 · 2025-11-02 · 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{JR7N5D5K3HXQYSCUBMNG3CZINO}

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

First-Passage Prediction of Grokking Delay: ACalibrated Law under AdamW with Causal Validation

Receipt and verification

First computed	2026-06-02T01:03:37.873161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c7ede8faad9ef0c48540b1a6d8b286ba55fad1783aa19cefa05154de111b3fe

Aliases

arxiv: 2511.01938 · arxiv_version: 2511.01938v3 · doi: 10.48550/arxiv.2511.01938 · pith_short_12: JR7N5D5K3HXQ · pith_short_16: JR7N5D5K3HXQYSCU · pith_short_8: JR7N5D5K

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/JR7N5D5K3HXQYSCUBMNG3CZINO \
  | 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: 4c7ede8faad9ef0c48540b1a6d8b286ba55fad1783aa19cefa05154de111b3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f52998b077ac93c46a17a74fffb6b62c861cc353363c4daa4e6810b30277cadf",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-11-02T18:44:42Z",
    "title_canon_sha256": "2c5aa44a1072d3a580eb069994efa8f9d87de586c14d29289b081684fbb0021c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.01938",
    "kind": "arxiv",
    "version": 3
  }
}