Pith Number

pith:2EAINMEF

pith:2025:2EAINMEFBZZZXYOVH2HBTJBZVQ

not attested not anchored not stored refs pending

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training

Ayoung Lee, Farima Fatahi Bayat, Lechen Zhang, Lu Wang, Muhammad Khalifa, Xinliang Frederick Zhang, Xin Liu, Yunxiang Zhang

arxiv:2507.12759 v1 · 2025-07-17 · cs.CL · 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{2EAINMEFBZZZXYOVH2HBTJBZVQ}

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	2026-07-05T11:38:38.595251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d10086b0850e739be1d53e8e19a439ac1eabfb755650ff4bcfc88c0c2ba716f6

Aliases

arxiv: 2507.12759 · arxiv_version: 2507.12759v1 · doi: 10.48550/arxiv.2507.12759 · pith_short_12: 2EAINMEFBZZZ · pith_short_16: 2EAINMEFBZZZXYOV · pith_short_8: 2EAINMEF

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/2EAINMEFBZZZXYOVH2HBTJBZVQ \
  | 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: d10086b0850e739be1d53e8e19a439ac1eabfb755650ff4bcfc88c0c2ba716f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0330e586f3dfb8afaccaf1f16839912281c96630bae90800ad86bafe7455188c",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2025-07-17T03:31:36Z",
    "title_canon_sha256": "dc4fca17ac4cc83f59e558c9bc6025e99b487845f27768ffeeeb96ba45a5acf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12759",
    "kind": "arxiv",
    "version": 1
  }
}