Pith Number

pith:YKFGCAL3

pith:2025:YKFGCAL3JHJVT7XJOUKGJ7OPF3

not attested not anchored not stored refs pending

GPO: Learning from Critical Steps to Improve LLM Reasoning

Jiahao Yu, Xian Wu, Xinyu Xing, Zelei Cheng

arxiv:2509.16456 v3 · 2025-09-19 · 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{YKFGCAL3JHJVT7XJOUKGJ7OPF3}

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.

Cited by

1 paper in Pith

Stabilizing Unsupervised Self-Evolution of MLLMs via Continuous Softened Retracing reSampling

Receipt and verification

First computed	2026-06-11T01:09:17.473090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28a61017b49d359fee9751464fdcf2eca2f13ff43c234a3ae72fd8c4116d7c5

Aliases

arxiv: 2509.16456 · arxiv_version: 2509.16456v3 · doi: 10.48550/arxiv.2509.16456 · pith_short_12: YKFGCAL3JHJV · pith_short_16: YKFGCAL3JHJVT7XJ · pith_short_8: YKFGCAL3

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/YKFGCAL3JHJVT7XJOUKGJ7OPF3 \
  | 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: c28a61017b49d359fee9751464fdcf2eca2f13ff43c234a3ae72fd8c4116d7c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08e634b3504e36b02ed3569be51f67ddb118436204ba0b0b8b3129afa08d6b56",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-09-19T22:30:23Z",
    "title_canon_sha256": "db910f1808e80acd1486f1b72352425005f062a41fa0f84974a81ee9e20a0248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.16456",
    "kind": "arxiv",
    "version": 3
  }
}