Pith Number

pith:XZXKUSV6

pith:2026:XZXKUSV6YW7GVCN2KU5DMF2Q7V

not attested not anchored not stored refs pending

Leverage Is Not Reach: A Control-Window Law for Single-Neuron Steering in Language Models

Hongliang Liu

arxiv:2606.19831 v1 · 2026-06-18 · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZXKUSV6YW7GVCN2KU5DMF2Q7V}

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	2026-06-19T16:12:36.462445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be6eaa4abec5be6a89ba553a361750fd719c927cf66be6ed2829646bcf69f101

Aliases

arxiv: 2606.19831 · arxiv_version: 2606.19831v1 · doi: 10.48550/arxiv.2606.19831 · pith_short_12: XZXKUSV6YW7G · pith_short_16: XZXKUSV6YW7GVCN2 · pith_short_8: XZXKUSV6

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/XZXKUSV6YW7GVCN2KU5DMF2Q7V \
  | 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: be6eaa4abec5be6a89ba553a361750fd719c927cf66be6ed2829646bcf69f101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14919f7db589e3dc4bf3ead8f146c8db06a531f3f67985db1486f3b50cb8d6d",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-18T06:25:18Z",
    "title_canon_sha256": "696ab68c64b75c07c6ea234034044be3b67cc7aafd4e2bc811ed569b94ec1b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19831",
    "kind": "arxiv",
    "version": 1
  }
}