Pith Number

pith:A325CT6L

pith:2026:A325CT6LKQEKUFICPQKXH62WE3

not attested not anchored not stored refs pending

Reinforcement Learning without Ground-Truth Solutions can Improve LLMs

Kun Zhou, Nikki Lijing Kuang, Qiyue Gao, Tongtong Liang, Xunpeng Huang, Yi-An Ma, Yingyu Lin, Yuxiong He, Zhewei Yao

arxiv:2606.27369 v1 · 2026-06-25 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A325CT6LKQEKUFICPQKXH62WE3}

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	2026-06-26T01:16:20.089000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f5d14fcb5408aa15027c1573fb5626cc024c81436c7c7d7418ed1ef92b7cbc

Aliases

arxiv: 2606.27369 · arxiv_version: 2606.27369v1 · doi: 10.48550/arxiv.2606.27369 · pith_short_12: A325CT6LKQEK · pith_short_16: A325CT6LKQEKUFIC · pith_short_8: A325CT6L

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/A325CT6LKQEKUFICPQKXH62WE3 \
  | 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: 06f5d14fcb5408aa15027c1573fb5626cc024c81436c7c7d7418ed1ef92b7cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28db7998274c084c2582d78e4bfd8e69a38833d9ed59ff8cb5e9148af199833f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-25T17:59:36Z",
    "title_canon_sha256": "3ebae9108e9356a8d9026e7d924f18ea579620e823b7b28b146b4231e52a65a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27369",
    "kind": "arxiv",
    "version": 1
  }
}