Pith Number

pith:PPUE7M7Y

pith:2026:PPUE7M7YCEUMLWZRCSE7CA6PLE

not attested not anchored not stored refs pending

Rethinking Groups in Critic-Free RLVR

Jian-Yun Nie, Liheng Ma, Lingfeng Xiao, Muzhi Li, Xinyu Wang, Yihong Wu, Yingxue Zhang

arxiv:2606.17250 v1 · 2026-06-15 · cs.LG · 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{PPUE7M7YCEUMLWZRCSE7CA6PLE}

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	2026-06-19T16:10:06.919944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7be84fb3f81128c5db311489f103cf5918bc560876de4d9434948d734b49bf2d

Aliases

arxiv: 2606.17250 · arxiv_version: 2606.17250v1 · doi: 10.48550/arxiv.2606.17250 · pith_short_12: PPUE7M7YCEUM · pith_short_16: PPUE7M7YCEUMLWZR · pith_short_8: PPUE7M7Y

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/PPUE7M7YCEUMLWZRCSE7CA6PLE \
  | 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: 7be84fb3f81128c5db311489f103cf5918bc560876de4d9434948d734b49bf2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7474ffe8d43d09c18b34df692e6b944e7f62b6d87903ac574cbeee6333ecbfc",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-15T19:49:42Z",
    "title_canon_sha256": "96438d5c83b567004759d5cf53d34db2fd29a176472a877ad787fb6110c03bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17250",
    "kind": "arxiv",
    "version": 1
  }
}