Pith Number

pith:RXWBANRU

pith:2026:RXWBANRUYDCFJBQKAIHRURPMW4

not attested not anchored not stored refs pending

Beyond Entropy: Learning from Token-Level Distributional Deviations for LLM Reasoning

Bing Guo, Haoxi Li, Jie Zhang, Jingcai Guo, Song Guo, Xuanzhi Feng, Yuming Jiang, Zeyu Liu, Zhengyang Li

arxiv:2606.19771 v1 · 2026-06-18 · 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{RXWBANRUYDCFJBQKAIHRURPMW4}

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	2026-06-19T16:12:34.731808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dec103634c0c454860a020f1a45ecb717da0b181cbc36172041ec18dd7759e6

Aliases

arxiv: 2606.19771 · arxiv_version: 2606.19771v1 · doi: 10.48550/arxiv.2606.19771 · pith_short_12: RXWBANRUYDCF · pith_short_16: RXWBANRUYDCFJBQK · pith_short_8: RXWBANRU

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/RXWBANRUYDCFJBQKAIHRURPMW4 \
  | 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: 8dec103634c0c454860a020f1a45ecb717da0b181cbc36172041ec18dd7759e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2252d030f648d804bf9ae3e4d20fd874bc35b09f296f76dfe4330a3f47b2968f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-18T04:11:56Z",
    "title_canon_sha256": "5c3a98685186f2864111ffc3b261243dbb00a2cb9fd5d522d4047f8aa3bd0462"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19771",
    "kind": "arxiv",
    "version": 1
  }
}