Pith Number

pith:YA5GHZSH

pith:2026:YA5GHZSHQRIPJG5BJDYYHN5IKH

not attested not anchored not stored refs pending

Structured Synthetic Reasoning Data for Arithmetic Fine-Tuning of Small Language Models

Effirul Ramlan, Jake O'Grady

arxiv:2607.18266 v1 · 2026-05-21 · 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{YA5GHZSHQRIPJG5BJDYYHN5IKH}

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	2026-07-22T00:22:39.334241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03a63e6478450f49ba148f183b7a851f266e411617b0c9b73e9ed217c189cc1

Aliases

arxiv: 2607.18266 · arxiv_version: 2607.18266v1 · doi: 10.48550/arxiv.2607.18266 · pith_short_12: YA5GHZSHQRIP · pith_short_16: YA5GHZSHQRIPJG5B · pith_short_8: YA5GHZSH

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/YA5GHZSHQRIPJG5BJDYYHN5IKH \
  | 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: c03a63e6478450f49ba148f183b7a851f266e411617b0c9b73e9ed217c189cc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c97f5a27577a71023654cad46225b51d4c2e067ea74c13c02ec4526a7a3e80",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-21T15:50:29Z",
    "title_canon_sha256": "3efef56a11457fdc7b5812b43dd17837d4c3b16491ef06286a9e669033d4b200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18266",
    "kind": "arxiv",
    "version": 1
  }
}