Core: Implement Merkle Tree proof verification

[EDOHWARES]

Add the function to verify a generated proof against the root hash.

[Windowlight]

@Windowlight has applied to work on this issue as part of the Stellar Wave Program's 5th wave.

I’m interested in this issue and believe my experience with contracts, backend systems, and frontend implementation makes me a good fit. Happy to provide updates as I work through it.

ℹ️ Repo Maintainers: To accept this application, review their application or assign @Windowlight to this issue.

[spiffamani]

@spiffamani has applied to work on this issue as part of the Stellar Wave Program's 5th wave.

Hey,

I'm a full-stack Software Engineer with 3 years of experience and a background in Blockchain development. I'm relatively new to open-source but I pick things up fast and I'm genuinely interested in this issue.
My main stack is React, TypeScript and Next.js on the frontend — I focus on clean component architecture, responsive design and performance. On the backend I work with Node.js, Java and Rust, handling everything from API design to database modeling.
A few things I've built:

https://www.zendvo.com/
https://cleanrest.vercel.app/

I'm comfortable jumping into an existing codebase, following conventions and shipping clean, maintainable code. My GitHub shows the kind of work I do better than I can describe it.
I'd love to take this on — thanks for considering me.

ℹ️ Repo Maintainers: To accept this application, review their application or assign @spiffamani to this issue.

[drips-wave]

Congratulations, @spiffamani! 🎉 Your application was accepted by the repo's maintainers, and the issue is due on June 2, 2026.

🧑‍💻 @spiffamani: Please resolve the issue such that the repo's maintainers have enough time to review your contribution before the due date. You'll earn Points for completing the issue on-time, which will make you eligible for a share of the Stellar Wave Program's reward pool.

Warning

When opening a PR, please link it to this issue to ensure it gets tracked accurately. Points are awarded when this issue is marked as completed by the maintainer.

🤠 Repo maintainers: Please keep an eye on the contributor's progress and review their work before the due date. You can manage this issue, including adjusting its complexity and points, here.

🌊 Happy Wave 🌊