Pith Number

pith:CRA5KNN6

pith:2024:CRA5KNN6HE7N5WVM63Q5MZF4CT

not attested not anchored not stored refs pending

An Information Theory of Compute-Optimal Size Scaling, Emergence, and Plateaus in Language Models

Anuj K. Nayak, Lav R. Varshney

arxiv:2410.01243 v2 · 2024-10-02 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRA5KNN6HE7N5WVM63Q5MZF4CT}

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

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent

Receipt and verification

First computed	2026-07-05T09:21:07.756423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1441d535be393ededaacf6e1d664bc14df763bf41363c335a5eeae2da9688c37

Aliases

arxiv: 2410.01243 · arxiv_version: 2410.01243v2 · doi: 10.48550/arxiv.2410.01243 · pith_short_12: CRA5KNN6HE7N · pith_short_16: CRA5KNN6HE7N5WVM · pith_short_8: CRA5KNN6

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/CRA5KNN6HE7N5WVM63Q5MZF4CT \
  | 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: 1441d535be393ededaacf6e1d664bc14df763bf41363c335a5eeae2da9688c37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aae15ea136a11383fa8d1e08b547af9113ce8ccdebcec90392ed7d9192befe1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2024-10-02T05:12:13Z",
    "title_canon_sha256": "19742c102441f5a04b41ac574fee074f23c1aeafba60a55de333caf19c2cb7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.01243",
    "kind": "arxiv",
    "version": 2
  }
}