pith:JODJGSCK
Sustaining AI safety: Control-theoretic external impossibility, intrinsic necessity, and structural requirements
Control theory proves that no externally enforced strategy can sustain AI safety once system effects exceed bounded external counteraction.
arxiv:2605.12963 v1 · 2026-05-13 · cs.AI
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JODJGSCKEKSH5YNKWKMLYRQFUD}
Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge
Record completeness
Claims
Under explicit premises including a reachability condition, once the system's effects exceed what bounded external control can counteract, no strategy that depends in any degree on continued external enforcement can sustain AI safety. This failure is structural across the entire externally enforced class.
The reachability condition and other explicit premises that allow the control-theoretic model to conclude that external effects are bounded while system effects are not; if this modeling assumption does not hold for real AI systems, the impossibility result does not apply.
External control strategies are structurally impossible for sustaining AI safety beyond bounded capability thresholds; any remaining viable strategies must be intrinsic with stable safety-compatible objectives.
References
Receipt and verification
| First computed | 2026-05-18T03:09:09.110468Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
4b8693484a22a47ee1aab298bc4605a0d3edd62e7f4b9537e9ae8a677d0c6dbd
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JODJGSCKEKSH5YNKWKMLYRQFUD \
| 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: 4b8693484a22a47ee1aab298bc4605a0d3edd62e7f4b9537e9ae8a677d0c6dbd
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "056d428a781d59dc93c9a962438ba6f677c9b906fd6e9aa84701bb160f0b0e95",
"cross_cats_sorted": [],
"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
"primary_cat": "cs.AI",
"submitted_at": "2026-05-13T03:56:04Z",
"title_canon_sha256": "b7ed01a9f4a031c6dee004ef956fd01e15e89288c3e1155589a158f52eb39ef4"
},
"schema_version": "1.0",
"source": {
"id": "2605.12963",
"kind": "arxiv",
"version": 1
}
}