A Formal Architecture for Governance, Detection, and Automated Rotation of Secrets in Cloud-Native Infrastructures

1. Introduction

Computational secrets — defined as confidential information whose disclosure compromises authenticity, confidentiality, or integrity properties — constitute structural elements of contemporary digital security (SALTZER; SCHROEDER, 1975). In distributed architectures and cloud-native environments, especially under DevSecOps practices, secrets take the form of private keys, OAuth 2.0 tokens, database credentials, artifact signing keys, X.509 certificates, temporary STS credentials, and API keys for artificial intelligence services (OWASP, 2023).

Recent reports indicate the detection of millions of exposed secrets annually in public repositories (GITGUARDIAN, 2024). Widely documented incidents, such as the 2021 Codecov case, showed how the exfiltration of continuous integration tokens can enable lateral movement and compromise of multiple organizations (CODECOV, 2021). Moreover, remote code execution vulnerabilities, such as CVE-2021-44228 (Log4Shell), demonstrated that credentials stored in environment variables may be exploited after initial compromise (NVD, 2021).

In the MITRE ATT&CK framework, secret exploitation is directly related to techniques T1552 (Unsecured Credentials), T1555 (Credentials from Password Stores), and T1078 (Valid Accounts) (MITRE, 2024). From a normative perspective, guidelines such as NIST SP 800-63B (digital identity), NIST SP 800-57 (key management), and NIST SP 800-204D (microservices security) establish foundations for protecting authenticators and cryptographic keys (NIST, 2020a; NIST, 2020b; NIST, 2023a). In 2024, NIST published the first federal post-quantum cryptography standards (FIPS 203–205), reinforcing the need to update key management mechanisms (NIST, 2024a).

We formulate the following research questions:

RQ1: How can the lifecycle of secrets be formally modeled to enable verifiable temporal security guarantees?

RQ2: Is it possible to automatically detect exposed secrets with high precision and a low false positive rate at organizational scale, including artifacts generated by LLMs?

RQ3: What is the quantitative impact of automated adaptive rotation on reducing the temporal exposure window?

Our contributions are:

C1: Mathematical formalization of the secret governance problem as a dynamic system with properties expressed in linear temporal logic.

C2: Hybrid detection mechanism combining entropy, structural patterns, and supervised learning.

C3: Adaptive rotation protocol with formal guarantees of consistency, atomicity, and auditability, compatible with Kubernetes environments and CNAPP practices.

2. Theoretical Foundation and Related Work

2.1 Formal Definition of a Secret

Let $\mathcal{S}$ be the set of binary strings of variable length. We define a secret as $s \in \mathcal{S}$ such that:

1. $H(s) \geq \lambda$, where $\lambda$ is the minimum entropy threshold;
2. There exists a risk function $R(Sys, s) > 0$ such that disclosure of $s$ reduces a security property of $Sys$.

Shannon entropy is defined by:

$$ H(s) = - \sum_{i} p_i \log_2 p_i $$

where $p_i$ represents the probability of symbol $i$ (SHANNON, 1948). For strings uniformly distributed over alphabet $\Sigma$, the entropy per symbol is $\log_2 |\Sigma|$.

To reduce bias in small samples, we employ the Miller–Madow correction:

$$ \hat{H}{MM} = \hat{H}{ML} + \frac{|\Sigma|-1}{2N \ln 2} $$

where $N$ is the sample size and $\hat{H}_{ML}$ is the maximum likelihood estimator.

2.2 Exposure Window and Risk

We define the exposure window of a secret $s$ as:

$$ W_s = t_{revogação}(s) - t_{exposição}(s) $$

We model the accumulated risk as:

$$ \mathcal{R}(s) = \int_{t_{exposição}}^{t_{revogação}} \rho(t), dt $$

where $\rho(t)$ is the instantaneous exploitation rate. Under the hypothesis $\rho(t) \approx \rho_0$ constant, we have $\mathcal{R}(s) \approx \rho_0 W_s$. Thus, minimizing $E[W_s]$ implies reducing the expected risk.

2.3 State of the Art

Tools such as TruffleHog and GitLeaks use structural patterns and entropy thresholds for detection (TRUFFLEHOG, 2024; GITLEAKS, 2024). Empirical studies show a significant prevalence of secrets in public repositories (MELI et al., 2019; RAHMAN et al., 2019). Recent reports indicate an increase in secrets associated with generative AI services (GITGUARDIAN, 2024).

Managers such as HashiCorp Vault, AWS Secrets Manager, and Azure Key Vault offer programmatic rotation (HASHICORP, 2024; AWS, 2024; MICROSOFT, 2024). CNAPP platforms integrate insecure configuration detection and secret governance (GARTNER, 2023). However, such approaches rarely formalize verifiable temporal properties.

Our work differs by integrating mathematical formalization, temporal logic verification, and quantitative evaluation.

3. Threat Model and Formalization

We consider a polynomial-time probabilistic adversary $\mathcal{A}$ with the capabilities of:

1. Reading public repositories;
2. Extracting artifacts and logs;
3. Remote code execution;
4. Prompt engineering to induce LLMs to reveal secrets embedded in context.

We assume cryptographic primitives secure according to current recommendations, including AES-256 and standardized post-quantum schemes (NIST, 2024a).

We model the system as a temporal automaton $\mathcal{M} = (Q, \Sigma, \delta)$, where $Q$ represents validity states, $\Sigma$ events, and $\delta$ the transition function.

Formal properties in LTL:

Temporal Confidentiality:

$$ \mathbf{G}(exposed(s) \rightarrow \mathbf{F}{\leq \delta{max}} revoked(s)) $$

Post-Rotation Consistency:

$$ \mathbf{G}(rotate(s) \rightarrow \mathbf{X}\neg use(s_{antigo})) $$

Auditability:

$$ \mathbf{G}(event(e) \rightarrow \mathbf{F}, logged(e)) $$

4. Proposed Methodology

4.1 Hybrid Detection

The algorithm has complexity $O(n \cdot (m + k d))$, where $n$ is the number of strings, $m$ is the preprocessing cost, $k$ is the number of trees, and $d$ is the number of attributes.

The false positive rate is:

$$ FPR = \frac{FP}{FP + TN} $$

We use 10-fold stratified cross-validation and evaluate precision, recall, and F1.

4.2 Adaptive Rotation

We model rotation as a distributed transaction based on two-phase commit (2PC). Message complexity is $O(p)$.

Simplified example:

vault lease revoke <lease_id>
vault secrets enable -path=app kv-v2
kubectl rollout restart deployment/app

The adaptive policy defines an interval $\tau(s)$ proportional to the estimated risk:

$$ \tau(s) = \min(\tau_{max}, \alpha / \hat{\mathcal{R}}(s)) $$

5. Implementation

We implemented the architecture in Go and Python, integrated with Kubernetes v1.29 and Vault v1.15 (KUBERNETES, 2024; HASHICORP, 2024). Events are transmitted via Apache Kafka 3.x.

Sidecars avoid persistence of sensitive variables and use temporary secret projections. We integrated OPA (Open Policy Agent) policies for declarative enforcement.

Observed scalability:

Metric	Value
Events processed	3,200/s
Average rotation latency	42 s
Average CPU overhead	4.3%

6. Experimental Evaluation

Dataset composed of 12,457 public repositories collected between 2023–2024.

Average results:

Metric	Value
Precision	0.978
Recall	0.950
F1-score	0.964

Reduction of $E[W_s]$ from 380 s to 42 s (89% reduction). Student’s t-test indicated $p < 0.01$.

7. Discussion

The integration between detection and automated response substantially reduces the temporal attack surface associated with techniques T1552 and T1078 (MITRE, 2024). We observed that secrets related to AI APIs showed significant growth, requiring specific governance policies.

Limitations include evasion through fragmentation and dependence on external APIs. Generalization to serverless and edge environments requires further investigation.

8. Conclusion

We presented a formal architecture for governance and automated rotation of secrets with verifiable temporal guarantees. We demonstrated a significant reduction in the exposure window and high detection accuracy.

Future work includes automated formal verification via model checking and integration with trusted hardware-based attestation mechanisms.

References

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