Pith Number

pith:5ACROKCS

pith:2026:5ACROKCSYXNWKTTRAAARNFSFXA

not attested not anchored not stored refs pending

Skaling: Chinchilla's Exponents Meet Kaplan's Coupling

Badr Youbi-Idrissi, David Lopez-Paz, Kartik Ahuja, Mathurin Videau

arxiv:2608.07222 v1 · 2026-08-07 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ACROKCSYXNWKTTRAAARNFSFXA}

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.

Receipt and verification

First computed	2026-08-10T01:14:40.679725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e805172852c5db654e710001169645b816104b7d07e8f32638a92310225112c1

Aliases

arxiv: 2608.07222 · arxiv_version: 2608.07222v1 · doi: 10.48550/arxiv.2608.07222 · pith_short_12: 5ACROKCSYXNW · pith_short_16: 5ACROKCSYXNWKTTR · pith_short_8: 5ACROKCS

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/5ACROKCSYXNWKTTRAAARNFSFXA \
  | 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: e805172852c5db654e710001169645b816104b7d07e8f32638a92310225112c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553686eb710364447438d1a434bba241181d2cb0b49f5a0c9ea3b2b2249bda7a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-08-07T13:38:51Z",
    "title_canon_sha256": "c2c2dc6962d352ef92c70c140d3d1d73616829a06f6c024d6e25d610e7f92c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07222",
    "kind": "arxiv",
    "version": 1
  }
}