Pith Number

pith:656HFSJ7

pith:2026:656HFSJ7THBWN3GHJHQWT5MVW4

not attested not anchored not stored refs pending

When Correct Solutions Repeat: Rarity-Aware Credit Redistribution for GRPO

Fangjiong Chen, Miaowen Wen, Zhe Cao

arxiv:2608.03467 v1 · 2026-08-04 · cs.AI · 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{656HFSJ7THBWN3GHJHQWT5MVW4}

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	2026-08-05T01:35:54.692926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77c72c93f99c366ecc749e169f595b737ce1dd4db3fdbb34a36bf90d11b6874

Aliases

arxiv: 2608.03467 · arxiv_version: 2608.03467v1 · doi: 10.48550/arxiv.2608.03467 · pith_short_12: 656HFSJ7THBW · pith_short_16: 656HFSJ7THBWN3GH · pith_short_8: 656HFSJ7

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/656HFSJ7THBWN3GHJHQWT5MVW4 \
  | 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: f77c72c93f99c366ecc749e169f595b737ce1dd4db3fdbb34a36bf90d11b6874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9faed489ee62df1f70bcddbdfc52e7ef2158ef624a4de7315146d9f62438821",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-08-04T11:02:26Z",
    "title_canon_sha256": "afeff60a69ac3c19b443b337d212e619d96f8c98fbdb084a360eadf59537ebc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03467",
    "kind": "arxiv",
    "version": 1
  }
}