Pith Number

pith:MH7VRS4N

pith:2026:MH7VRS4NAGH2VH5M4L5KF5KS6M

not attested not anchored not stored refs pending

Fishing Out Free Riders: Shapley-Based Reward Attribution for Parallel Reasoning via Reinforcement Learning

Dengji Zhao, Haoyu Zhang, Miao Li, Tao Feng, Wentao Zhang, Xinke Jiang, Yuhan Pan, Yuxuan Cheng, Zhen Tao, Zhipeng Qiao

arxiv:2607.18979 v1 · 2026-07-21 · 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{MH7VRS4NAGH2VH5M4L5KF5KS6M}

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	2026-07-22T01:24:02.672402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ff58cb8d018faa9face2faa2f552f32c98b3281e966a1e1f529cf644469f72

Aliases

arxiv: 2607.18979 · arxiv_version: 2607.18979v1 · doi: 10.48550/arxiv.2607.18979 · pith_short_12: MH7VRS4NAGH2 · pith_short_16: MH7VRS4NAGH2VH5M · pith_short_8: MH7VRS4N

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/MH7VRS4NAGH2VH5M4L5KF5KS6M \
  | 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: 61ff58cb8d018faa9face2faa2f552f32c98b3281e966a1e1f529cf644469f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b44808441cde4ff49544086ee2d0290a6dd0510ce0b952b5d882dcd0156898d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-21T11:14:33Z",
    "title_canon_sha256": "2c4b06ef1ff02cae24e2e306340b64986ef75850b0962bd5aa2b107c71033322"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18979",
    "kind": "arxiv",
    "version": 1
  }
}