{"receipt":{"epoch":37,"P":5,"S":0,"R":0,"P_red":4.5,"staked":0,"burned":0,"reserve_per_coin":0,"parameters":{"P0":5,"alpha":0.25,"spread":0.1,"reserve_ratio":1}},"content_hash":"e96341a8e04c8e43572a8d5d35ff4c86dbbf6e9875be47e4a8d1bf308dc72d1f","signature":"4c88d86b20519d9fa64fd7f5ecb755514f99c33767dbefdf46f40eed9abe755cb7318be0d6ce7776a2af2b441ab6f5ed837bb891cb3136c47bdf4597b1ae070d","algorithm":"ed25519","public_key":"6eb3ca9148265ece302379da44ea39b37938fb414a1de16bf26c2f8caf777da9","verify_instructions":"Verify ed25519 signature over content_hash using public_key. Content hash is sha256 of canonicalJson(receipt). If signature is valid, the supply, reserve, and rate were not tampered with.","parity":{"supplyAngel":0,"reserveUsd":0,"requiredReserveUsd":0,"coverageRatio":1,"reserveAdequate":true,"surplusUsd":0,"contract":"1 ANGEL = fixed parity of audited reserve; reserve >= supply × parity (100% backing)","appreciation":"none by design — a separate compliance-gated instrument carries appreciation"},"invariants":{"reserve_adequacy":"R >= ρ × S × P_red → 0.00 >= 1 × 0 × 4.50","conservation":"Σ user balances + Σ platform balances + escrow locked + treasury = total minted − burned"},"disclaimer":"ANGEL is a closed-loop utility currency. This receipt is for transparency. Not financial advice. Not an investment product.","generated_at":"2026-09-22T15:42:06.354Z"}