How BAZINGA validates without wasting electricity
"Find a number that, when hashed, starts with 20 zeros"
Result: Meaningless puzzle. Burns electricity. Whoever has more GPUs wins.
"Find a number where the P/G ratio equals the golden ratio"
Result: Meaningful math. Zero energy. Understanding wins.
The golden ratio (phi) is a special number that appears EVERYWHERE in nature:
It's the ratio where: (a + b) / a = a / b
It's not magic - it's the mathematical boundary between chaos and order. Nature uses it because it's efficient.
PoB Target:
Your P/G ratio must be close to this number
Bitcoin: "Find a needle in a haystack" (brute force, luck)
BAZINGA: "Tune a guitar string to the right frequency" (understanding, precision)
Knowledge, data, or a message you want to attest on the blockchain.
content_hash = SHA3-256(content). This binds the proof to your specific content.
Hash content_hash + nonce, then split into P and G using calibrated moduli:
P = first 8 bytes mod 70555 (137 x 515)
G = next 8 bytes mod 10275 (137 x 75)
70555 / 10275 = 6.867 which is only 0.19% from phi^4 = 6.854!
The constants 137 (fine structure) and 515 encode the boundary naturally.
If |P/G - 6.854| < tolerance, the proof is VALID
Verification is instant (one hash operation).
def generate_proof(content, tolerance=0.3):
content_hash = sha3_256(content).hexdigest()
for nonce in range(100000):
h = sha3_256(f"{content_hash}:{nonce}").digest()
P = int.from_bytes(h[:8], 'big') % 70555 + 1
G = int.from_bytes(h[8:16], 'big') % 10275 + 1
ratio = P / G
if abs(ratio - 6.854101966) < tolerance:
return {"nonce": nonce, "P": P, "G": G, "ratio": ratio, "valid": True}
Content-bound: Proof is tied to specific content (can't reuse)
Instant verify: One hash to check validity
Unfakeable: Must find the nonce, can't game timing
2 billion times more efficient than Bitcoin PoW
Uses more electricity than Argentina
Meaningless computation
Rich miners win
Your laptop is enough
Mathematical beauty
Understanding wins
"You can buy hashpower.
You can buy stake.
You cannot buy understanding."
Bitcoin validates through competition - who can waste the most electricity.
BAZINGA validates through comprehension - finding the natural boundary that exists in mathematics itself.
The golden ratio isn't arbitrary. It's a fundamental constant of nature. When your data's hash aligns with phi^4, you've found a genuine boundary - not a meaningless puzzle.
# Install BAZINGA
pip install bazinga-indeed
# Generate a Proof-of-Boundary
bazinga --proof
# Mine a block (instant, zero energy)
bazinga --mine
# See the blockchain
bazinga --chain