Pith Number

pith:YJIDXWRM

pith:2026:YJIDXWRMN7FRVEB5FGCMIH4U7I

not attested not anchored not stored refs pending

How Off-Policy Can GRPO Be? Mu-GRPO for Efficient LLM Reinforcement Learning

Chen Wei, Minghao Tian, Yunfei Xie

arxiv:2605.17570 v1 · 2026-05-17 · 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{YJIDXWRMN7FRVEB5FGCMIH4U7I}

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	2026-05-20T00:04:46.483896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2503bda2c6fcb1a903d2984c41f94fa263dbf3c856e769c2e3cddec6103388c

Aliases

arxiv: 2605.17570 · arxiv_version: 2605.17570v1 · doi: 10.48550/arxiv.2605.17570 · pith_short_12: YJIDXWRMN7FR · pith_short_16: YJIDXWRMN7FRVEB5 · pith_short_8: YJIDXWRM

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/YJIDXWRMN7FRVEB5FGCMIH4U7I \
  | 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: c2503bda2c6fcb1a903d2984c41f94fa263dbf3c856e769c2e3cddec6103388c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5010ee1055120649df60fb8ca9375faafc310860a8766a6a3e1d0788ab35daea",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-17T17:58:53Z",
    "title_canon_sha256": "8b5733551a143fc67f90e4a2c820e5a96b37f25c58ba9ece68b8cbb4e101999e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17570",
    "kind": "arxiv",
    "version": 1
  }
}