CRT Digital Signature

G32: RSA/ECDSA. CC0.

The 490 holographic split IS a signature scheme. 490 = D*E*b^2 cleaves 6 channels into DEAD={D,E,b} (inner, private) and ALIVE={K,L,GATE} (boundary, public). Sign with inner channels. Verify with boundary channels. 3 boundary channels encode the full 6-channel signature holographically. The algebra IS the cryptography.

How It Works

490 Signature Principle (PROVED)
490 = D*E*b^2 partitions 6 CRT channels into DEAD={D,E,b} and ALIVE={K,L,GATE}. The signer transforms inner channels using a private exponent. Boundary channels pass through as public verification data. Verifier checks only boundary channels -- needs no private key. Holography: 3 boundary channels detect ANY tampering in the full 6-channel space.
490 split
Algebraic key separation
DEAD={D,E,b} = private key space. ALIVE={K,L,GATE} = public verification.
Holographic
3 encode 6
Boundary channels detect full-ring tampering. Inner channels invisible to verifier.
Key rotation
lambda=420 cycle
Private keys rotate naturally with the ring's heartbeat.
Tamper detection
Per-channel check
Any modification changes boundary residues. 3 independent checks.

Try It

Message (any integer):

Private key mod 420 (= lambda). Red = inner/DEAD channels (private). Green = boundary/ALIVE (public verification).

Batch Integrity Test

Sign 100 messages with key=137. Verify all. Then tamper each and check rejection.

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— Anton Alexandrovich Lebed

Source code · Public domain (CC0)

Contributions in equal measure: Anthropic's Claude, Anton A. Lebed, and the giants whose shoulders we stand on.

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