Pith Number

pith:45C3OQ32

pith:2026:45C3OQ32U6Q5XDEWZO4GKM3AXZ

not attested not anchored not stored refs pending

Jailbreak Scaling Laws for Large Language Models: Polynomial-Exponential Crossover

Annesya Banerjee, Cengiz Pehlevan, Indranil Halder

Strong adversarial prompt injections turn slow polynomial growth of jailbreak success into exponential growth with more inference samples.

arxiv:2603.11331 v3 · 2026-03-11 · cs.LG · cs.AI

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\usepackage{pith}
\pithnumber{45C3OQ32U6Q5XDEWZO4GKM3AXZ}

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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.

Claims

C1strongest claim

strong adversarial prompt-injection attacks can amplify attack success rate from the slow polynomial growth observed without injection to exponential growth with the number of inference-time samples

C2weakest assumption

a small set of assumptions on the distribution of safe generation across contexts under which both scaling laws follow

C3one line summary

Strong adversarial prompt injections shift jailbreak success scaling from polynomial to exponential with more inference samples, derived from a spin-glass generative model of LLM outputs.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-29T02:05:42.783753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e745b7437aa7a1db8c96cbb8653360be45e3a9d57395fceac1eb82902d85898d

Aliases

arxiv: 2603.11331 · arxiv_version: 2603.11331v3 · doi: 10.48550/arxiv.2603.11331 · pith_short_12: 45C3OQ32U6Q5 · pith_short_16: 45C3OQ32U6Q5XDEW · pith_short_8: 45C3OQ32

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/45C3OQ32U6Q5XDEWZO4GKM3AXZ \
  | 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: e745b7437aa7a1db8c96cbb8653360be45e3a9d57395fceac1eb82902d85898d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b0f935c930efed2220208d4f5886b601e689720c7b0ebbb4674ba75354df7b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-11T21:48:03Z",
    "title_canon_sha256": "b19d9a16ee1e13b496c430be41e2c32586c75a70fac747d5c292d330614277e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.11331",
    "kind": "arxiv",
    "version": 3
  }
}