Pith Number

pith:Q2IDQ7FX

pith:2026:Q2IDQ7FXI4Y5WGXEOBISVZDX52

not attested not anchored not stored refs pending

When Does Muon Help Agentic Reinforcement Learning?

Hao Sun, Jinghao Lin, Kai Ruan, Qianshan Wei, Xuan Wang, Zihe Huang, Ziqi Zhou

arxiv:2607.16169 v1 · 2026-07-17 · cs.LG · 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{Q2IDQ7FXI4Y5WGXEOBISVZDX52}

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	2026-07-20T02:19:37.360025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8690387cb74731db1ae470512ae477ee8b377c5306747ac7a3a61769b965797b

Aliases

arxiv: 2607.16169 · arxiv_version: 2607.16169v1 · doi: 10.48550/arxiv.2607.16169 · pith_short_12: Q2IDQ7FXI4Y5 · pith_short_16: Q2IDQ7FXI4Y5WGXE · pith_short_8: Q2IDQ7FX

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/Q2IDQ7FXI4Y5WGXEOBISVZDX52 \
  | 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: 8690387cb74731db1ae470512ae477ee8b377c5306747ac7a3a61769b965797b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1531bdfee6a0c0077b5d134abfee066db4a470d2a6d307712f1a1125a374835c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-17T17:49:05Z",
    "title_canon_sha256": "43722afa4d026a0adf18653612cc4360bb8a57acd5b63210c00e0e4b8d39d167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16169",
    "kind": "arxiv",
    "version": 1
  }
}