Pith Number

pith:JSGQNCS3

pith:2026:JSGQNCS373K3IA2JVXJNDZTAHC

not attested not anchored not stored refs pending

Beyond the Mean: Multi-Moment Policy Optimization for LLM Reasoning

Fan Xu, Haoxiang Zhang, Jiaxin Ding, Luoyi Fu, Xin Ding, Yijun Zhang, Yule Xie

arxiv:2608.02149 v1 · 2026-08-03 · 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{JSGQNCS373K3IA2JVXJNDZTAHC}

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	2026-08-04T02:11:06.875511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c8d068a5bfed5b40349add2d1e66038acec8c2f36076f1ce2af35dc3673dd9a

Aliases

arxiv: 2608.02149 · arxiv_version: 2608.02149v1 · doi: 10.48550/arxiv.2608.02149 · pith_short_12: JSGQNCS373K3 · pith_short_16: JSGQNCS373K3IA2J · pith_short_8: JSGQNCS3

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/JSGQNCS373K3IA2JVXJNDZTAHC \
  | 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: 4c8d068a5bfed5b40349add2d1e66038acec8c2f36076f1ce2af35dc3673dd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "408818e9b99934ebf49c99e7f856dbe2972145fd892ebfb6e175e6cc9b35cdef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-08-03T12:34:04Z",
    "title_canon_sha256": "ce50c9438758c2421233e6b5665b28a1a4cc02fbbae73ce1eadfc4157a7322e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02149",
    "kind": "arxiv",
    "version": 1
  }
}