Pith Number

pith:6OQM45U2

pith:2026:6OQM45U2HQ4NSIDPG2ASBEU3X2

not attested not anchored not stored refs pending

Clustering as Reasoning: A $k$-Means Interpretation of Chain-of-Thought Graph Learning

Bingheng Li, Xingtong Yu, Xuanting Xie, Yuan Fang, Zhaochen Guo, Zhao Kang, Zhifei Liao

arxiv:2605.24867 v1 · 2026-05-24 · cs.AI · cs.CL · cs.NI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OQM45U2HQ4NSIDPG2ASBEU3X2}

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	2026-05-26T01:04:02.471277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3a0ce769a3c38d9206f368120929bbe8d99d48c2a3f0eb37d774b759505a47a

Aliases

arxiv: 2605.24867 · arxiv_version: 2605.24867v1 · doi: 10.48550/arxiv.2605.24867 · pith_short_12: 6OQM45U2HQ4N · pith_short_16: 6OQM45U2HQ4NSIDP · pith_short_8: 6OQM45U2

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/6OQM45U2HQ4NSIDPG2ASBEU3X2 \
  | 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: f3a0ce769a3c38d9206f368120929bbe8d99d48c2a3f0eb37d774b759505a47a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d67179888b3474d7e10e3631d6f1c491bfb86ebe7aea0304793b575fb09bd2",
    "cross_cats_sorted": [
      "cs.CL",
      "cs.NI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-24T04:58:44Z",
    "title_canon_sha256": "6e7db8aefdbaf2f80d05df430302854e2ed433de71c6e806e8175b5f2adef2a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24867",
    "kind": "arxiv",
    "version": 1
  }
}