Pith Number

pith:S3XJGU7Y

pith:2026:S3XJGU7YUBVUTFUF4E3ALTSRU5

not attested not anchored not stored refs pending

The Paradox of Outcome Optimization: A Causal Information-Theoretic Bound on Reasoning Shortcuts in LLMs

Wenxiang Geng, Yiming Zhang, Yining Sun, Zenghui Ding, Zihan Chen

arxiv:2606.00674 v1 · 2026-05-30 · 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{S3XJGU7YUBVUTFUF4E3ALTSRU5}

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	2026-06-02T01:04:02.367042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96ee9353f8a06b499685e13605ce51a775be123a87d67298a24495492b0e9af8

Aliases

arxiv: 2606.00674 · arxiv_version: 2606.00674v1 · doi: 10.48550/arxiv.2606.00674 · pith_short_12: S3XJGU7YUBVU · pith_short_16: S3XJGU7YUBVUTFUF · pith_short_8: S3XJGU7Y

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/S3XJGU7YUBVUTFUF4E3ALTSRU5 \
  | 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: 96ee9353f8a06b499685e13605ce51a775be123a87d67298a24495492b0e9af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd28f19ec89445844bb186b6dd2d740f7328298e430837b79aefb36f3d69759",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-30T11:06:13Z",
    "title_canon_sha256": "2f29d9005fe092838e7bee8f12a09017099b86ad1a5cad6954ab8bf30d246e12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00674",
    "kind": "arxiv",
    "version": 1
  }
}