Why incumbents across industries are moving records, settlement and rules onto shared ledgers, who holds what once they do, how the stack is built, the risks, and where zkVMs fit.

Why the short integer solution problem under lattice-based polynomial commitments is believed hard, shown geometrically, and how n, m, q and β each set the cost of the best known attacks.

How coding agents with a byte-exact check change matching decompilation, how cross-game mods are built, five workflows to try, and what open-by-default code means for software economics.

Introduces the two lattice facts under Greyhound, Hachi, Akita, Grand Danois, Maltese, Jindo and Serval, the split-and-fold engine they share, and their published sizes and times, with toy examples.

Schnorr over Grumpkin, ML-DSA, FN-DSA and SLH-DSA, each reduced to the fact it runs on, with hand-checkable toy examples and the cost of verifying each inside a proof.

Round polynomials as shadows and slices of one surface, a transcript as a walk from the cube's centre to a random point, and the secant that makes a protocol necessary. Eight live figures.

The instruction set as an object of proof: ISA edge cases, the hardware-vs-prover cost inversion, arithmetization across four zkVMs, and an opcode-by-opcode encyclopedia.

How a Rust program becomes a provable guest: target specs, the atomics problem, the one LLVM pass the whole field converged on, and four toolchain strategies — pinned across six zkVMs.