Source: https://guthlabs.ai/docs/instrument-workflows/crypto-classroom/

instrument chain / verified-workflow-definition

# Crypto & Number Theory Classroom

Primes to keys to ciphertext to integrity.

Status: **observed**Lifecycle: **verified-workflow-definition**

## Goal

Primes to keys to ciphertext to integrity.

## Instrument chain

- 01

**[Prime Checker & Generator (Sieve)](<https://guthlabs.ai/docs/instruments/prime-checker-generator-sieve/>)**

find primes

VERIFIED

- 02

**[Primality Tester](<https://guthlabs.ai/docs/instruments/primality-tester/>)**

verify primes

VERIFIED

- 03

**[GCD/LCM Calculator](<https://guthlabs.ai/docs/instruments/gcd-lcm-calculator/>)**

Bézout/gcd

VERIFIED

- 04

**[Modular Arithmetic Toolkit](<https://guthlabs.ai/docs/instruments/modular-arithmetic-toolkit/>)**

mod ops + inverse + CRT

VERIFIED

- 05

**[Modular Exponentiation Calculator](<https://guthlabs.ai/docs/instruments/modular-exponentiation-calculator/>)**

fast powering

VERIFIED

- 06

**[RSA Toy Cipher (Educational)](<https://guthlabs.ai/docs/instruments/rsa-toy-cipher-educational/>)**

public key

VERIFIED

- 07

**[Diffie-Hellman Key Exchange Toy](<https://guthlabs.ai/docs/instruments/diffie-hellman-key-exchange-toy/>)**

key agreement

VERIFIED

- 08

**[SHA-256 / Hash Function Demo](<https://guthlabs.ai/docs/instruments/sha-256-hash-function-demo/>)**

integrity

VERIFIED

- 09

**[Checksum Verifier](<https://guthlabs.ai/docs/instruments/checksum-verifier/>)**

integrity 2

VERIFIED

- 10

**[Hamming Distance / Error-Detection Calculator](<https://guthlabs.ai/docs/instruments/hamming-distance-error-detection-calculator/>)**

coding

VERIFIED

- 11

**[Parity Bit / Simple ECC Demo](<https://guthlabs.ai/docs/instruments/parity-bit-simple-ecc-demo/>)**

coding 2

VERIFIED

## Handoffs and cross-checks

Primes → n,φ → d via modular inverse → encrypt/decrypt via modexp; decrypt(encrypt(m)) == m is the invariant.

## PointGuard stance

Round-trip everything: decrypt what you encrypt, verify what you hash — a chain that cannot close is wrong.

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `INSTRUMENT_COMBOS.json`

- `VERIFIED_LEDGER.json`