> For the complete documentation index, see [llms.txt](https://docs.xeratoken.xyz/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.xeratoken.xyz/3.-zero-knowledge-privacy-system/3.1-cryptographic-foundations.md).

# 3.1 Cryptographic Foundations

Xera’s privacy guarantees derive from an interplay of commitments, nullifiers, and zero-knowledge proofs. Commitments encode values such that amounts remain hidden while ensuring that values cannot be modified after creation. Nullifiers prevent double spending by marking notes as consumed without linking them to specific commitments. Zero-knowledge proofs bind these components together, demonstrating ownership and balance correctness without revealing identities or values.

These primitives enable a decentralized, privacy-preserving state machine. Nodes validate proofs deterministically while remaining unaware of sensitive transaction details. Because proofs are succinct and efficient to verify, the system maintains scalability even as the shielded pool grows. This cryptographic foundation ensures alignment between confidentiality, security, and decentralization.


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