Pith Number

pith:VR75DMQ7

pith:2026:VR75DMQ7N3BWEYDGRI2VLXTZY3

not attested not anchored not stored refs pending

Pushing Biomolecular Utility-Diversity Frontiers with Supergroup Relative Policy Optimization

Bin Feng, Hao Li, He Cao, Shenghua Gao, Xiangru Tang, Xinwu Ye, Yu Li, Zijing Liu

Supergroup Relative Policy Optimization expands the utility-diversity Pareto frontier for biomolecular generators by directly rewarding set-level diversity.

arxiv:2605.08659 v2 · 2026-05-09 · cs.CE · q-bio.BM

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\usepackage{pith}
\pithnumber{VR75DMQ7N3BWEYDGRI2VLXTZY3}

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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.

Claims

C1strongest claim

Across decoding sweeps, SGRPO expands the utility-diversity Pareto frontier and achieves the best frontier-level metrics relative to pretrained generators, GRPO, and memory-assisted GRPO when applicable.

C2weakest assumption

That supergroup sampling with leave-one-out diversity contributions provides a stable, unbiased signal for redistributing set-level rewards to individual rollouts without introducing artifacts in policy optimization or depending on specific diversity metrics.

C3one line summary

SGRPO expands the utility-diversity Pareto frontier in biomolecular design by using supergroup sampling and leave-one-out diversity rewards combined with utility signals.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:15.383856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7fd1b21f6ec36260668a3555de79c6ef602b51d9b1f2c1308a4363b250866e

Aliases

arxiv: 2605.08659 · arxiv_version: 2605.08659v2 · doi: 10.48550/arxiv.2605.08659 · pith_short_12: VR75DMQ7N3BW · pith_short_16: VR75DMQ7N3BWEYDG · pith_short_8: VR75DMQ7

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/VR75DMQ7N3BWEYDGRI2VLXTZY3 \
  | 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: ac7fd1b21f6ec36260668a3555de79c6ef602b51d9b1f2c1308a4363b250866e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8fb2debb4121cb60fd8c9e1997395fc32152ee419161dea64c5c7eff8c21e7",
    "cross_cats_sorted": [
      "q-bio.BM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-05-09T03:55:15Z",
    "title_canon_sha256": "a75216692bf65b82c5279a2c9a3a6ba14a51bb279bdf004450d75f0076a70e0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.08659",
    "kind": "arxiv",
    "version": 2
  }
}