Pith Number

pith:XPJIB7NK

pith:2026:XPJIB7NK3RLTT7KKXC5I2EOIP7

not attested not anchored not stored refs pending

Beyond Trajectory Imitation: Strategy-Guided Policy Optimization for LLM Reasoning

Bei Li, Canbin Huang, Jingang Wang, Qifan Wang, Tianyuan Shi, Xiaojun Quan, Xin Chen

arxiv:2606.24064 v1 · 2026-06-23 · 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{XPJIB7NK3RLTT7KKXC5I2EOIP7}

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	2026-06-24T01:14:39.427302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd280fdaadc5739fd4ab8ba8d11c87fe082073bbf509866c18e3565dc510c34

Aliases

arxiv: 2606.24064 · arxiv_version: 2606.24064v1 · doi: 10.48550/arxiv.2606.24064 · pith_short_12: XPJIB7NK3RLT · pith_short_16: XPJIB7NK3RLTT7KK · pith_short_8: XPJIB7NK

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/XPJIB7NK3RLTT7KKXC5I2EOIP7 \
  | 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: bbd280fdaadc5739fd4ab8ba8d11c87fe082073bbf509866c18e3565dc510c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "395a8e87e083bf72d44609f7b445d38fa5539d6ea36bfbae93114dd1dc7b6771",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-23T02:14:12Z",
    "title_canon_sha256": "67a56461b1c4bd6934784c4fcee04ffe89bebb06a2a97eefc172eff8ce19eadc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24064",
    "kind": "arxiv",
    "version": 1
  }
}