Pith Number

pith:N46WSXLF

pith:2026:N46WSXLFR2PLTKFA3CZ7PY6GN3

not attested not anchored not stored refs pending

Implicit Hierarchical GRPO: Decoupling Tool Invocation from Execution for Tool-Integrated Mathematical Reasoning

Guojun Yin, Jiajun Chai, Jinyang Wu, Li Wang, Wei Lin, Xiaodong Lu, Xiaohan Wang, Zipeng Zhang

arxiv:2605.18500 v1 · 2026-05-18 · 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{N46WSXLFR2PLTKFA3CZ7PY6GN3}

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	2026-05-20T00:06:04.445282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3d695d658e9eb9a8a0d8b3f7e3c66ec2617046d2841305622e6eb9becfdac6

Aliases

arxiv: 2605.18500 · arxiv_version: 2605.18500v1 · doi: 10.48550/arxiv.2605.18500 · pith_short_12: N46WSXLFR2PL · pith_short_16: N46WSXLFR2PLTKFA · pith_short_8: N46WSXLF

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/N46WSXLFR2PLTKFA3CZ7PY6GN3 \
  | 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: 6f3d695d658e9eb9a8a0d8b3f7e3c66ec2617046d2841305622e6eb9becfdac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba08a12d18c6a127260783ad91733dce75af22ca3e578a04164aaf88f80f814",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-05-18T14:54:49Z",
    "title_canon_sha256": "9bfcaa672763e2bf0b2bbc8401db6a73efa6f4abf089c471b97422afbc1fb1c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18500",
    "kind": "arxiv",
    "version": 1
  }
}