{"pulse_id":421,"ok":true,"reason_code":"OK","reason":"|S| = 2.7478, p = 4.70e-47, 106 bits certified under the i.i.d. device model [device_class=ibm_marrakesh]","S_hat":2.7478315574727232,"p_value":4.702127505585958e-47,"certified_min_entropy_bits_iid_model":106.24417336915009,"device_class":"ibm_marrakesh","soundness_assumptions":["extractor-seed-independence","fiat-shamir-random-oracle","grinding-budget-2^60","iid-device","no-signaling-between-stations","no-spacelike-separation"],"caveat":"This pulse is a `ibm_marrakesh` real-hardware Bell artifact: a CHSH Bell pair measured on a physical vendor quantum chip, signed and chained. It is genuine quantum hardware but NOT loophole-free and NOT device-independent -- two qubits on a chip are microns apart with shared control electronics, so no spacelike separation survives. The no-signaling assumption is STATED, NOT DISCHARGED. The verifier re-derives S, the Merkle root, the challenge, and R from the published outcomes; the carried hw_attestation is provenance only. See CLAIMS.md."}