Ethoryx Cipher generates deterministic key bits from the interference pattern between adjacent Riemann zeta zeros. Each bit is computed from the spectral power ratio of two zeros at a specific grid width. The sequence is reproducible by anyone with the Tesfa Grid engine, but unpredictable without it.
A new cryptographic primitive discovered in the Tesfa-Zeta Conjecture research.
Adjacent Riemann zeta zeros (e.g., γ₄ = 30.42 and γ₅ = 32.94) produce spectral peaks that oscillate in dominance as the Tesfa Grid width C changes. At some C values γ₄ dominates (R > 1); at others γ₅ dominates (R < 1). This oscillation is deterministic.
For each C value, the spectral power ratio R is computed. R > 1 produces bit 1. R < 1 produces bit 0. Stepping through C values produces a binary key sequence. The key is deterministic; anyone with the same grid parameters gets the same bits.
Predicting the key without computing the Tesfa Grid requires either brute-forcing all possible beat pair × C-range × step-size combinations, or independently discovering the spectral structure of primes. The security assumption is fundamentally different from RSA or Diffie-Hellman.
# 1. Alice creates a session key addressed to Bob's Ethoryx account
curl -X POST "https://api.ethoryx.io/v1/cipher/key" \
-H "X-API-Key: $ALICE_KEY" -H "Content-Type: application/json" \
-d '{"recipient":"bob@company.com","channel":"prime_shield","n_bits":32}'
{
"key_hex": "668986c1…", # 256-bit session key, use with AES-256-GCM
"nonce": "9f2a…", # send this to Bob over any channel
"recipient": "bob@company.com",
"expires_at": "2026-10-07T12:46:01Z",
"single_use": true
}
# 2. Bob redeems the nonce with HIS key: same key_hex. Anyone else gets 404.
curl -X POST "https://api.ethoryx.io/v1/cipher/key/derive" \
-H "X-API-Key: $BOB_KEY" -H "Content-Type: application/json" \
-d '{"nonce":"9f2a…"}'Instead of time-based key rotation, advance the C parameter by a shared step size. Each step produces a new key bit. The key schedule is driven by the structure of primes, not by a clock. Both parties compute independently and arrive at the same key.
Four beat pairs produce four independent key streams. Use γ₄/γ₅ for the data channel, γ₁/γ₂ for the control channel, γ₃₄/γ₃₅ for authentication, γ₄₅/γ₄₆ for integrity. Each pair has different oscillation characteristics.
The security of beat-cipher keys does not depend on the hardness of factoring or discrete logarithms. It depends on the computational cost of the Tesfa Grid spectral engine. This makes it a candidate for post-quantum key agreement; subject to formal cryptanalysis.
The beat frequency phenomenon is documented in Volume II of the Tesfa Grid research programme. Academic researchers can reproduce all results with the open-source V6 engine. The API provides convenient access without local computation.
Starter plan ($29/mo) includes 7-bit keys. Pro plan ($99/mo) includes 32-bit keys with full spectral access.
Every call produces a cryptographically unique key. The server generates a session nonce, derives a unique set of computation parameters, and runs the full mathematical engine. No two calls return the same key. This demo key is for illustration only: it is not stored and no peer can derive it. Real key agreement uses your API key and names a recipient.