{"generator":"equations.matrix","version":1,"value":{"problems":[{"prompt":"[-5, 1, 4; -5, 6, 1; 0, -3, -4]","prompt_latex":"\\begin{pmatrix}-5 & 1 & 4 \\\\ -5 & 6 & 1 \\\\ 0 & -3 & -4\\end{pmatrix}","answer":"det = 145 \u2014 unconstrained","answer_latex":"\\det = 145","matrix":[[-5,1,4],[-5,6,1],[0,-3,-4]],"determinant":145}],"count":1},"display":"[-5, 1, 4; -5, 6, 1; 0, -3, -4]   \u2192   det = 145 \u2014 unconstrained","meta":{"latex":[["\\begin{pmatrix}-5 & 1 & 4 \\\\ -5 & 6 & 1 \\\\ 0 & -3 & -4\\end{pmatrix}","\\det = 145"]],"problems":1,"kind":"any","stream_bytes_used":13,"rejections":4,"entropy_in_bytes":16,"duration_us":73},"receipt":{"source":"bitcoin","source_label":"Bitcoin Proof-of-Work","class":"B","class_label":"Public beacon","caveat":"Published openly \u2014 anyone can look this value up after the fact.","narrative":"Bitcoin block 966,862 \u2014 19 leading zeros of proof-of-work, found about ten minutes ago.","proof_url":"https:\/\/mempool.space\/block\/0000000000000000000234f6957a807151bafa2cfc8917a02c4d3f9e81cb078e","reference":"966862","observed_at":"2026-09-13T19:21:37+00:00","degraded":false,"mixed_with_csprng":true,"latency_ms":977,"cached":false},"seed":{"token":"5NSFP3XCJQ737WHQM0M1N8QS8M","permalink":"https:\/\/randomly.cluxnei.dev\/r\/5NSFP3XCJQ737WHQM0M1N8QS8M?g=equations.matrix&v=1&p=eyJjb2xzIjozLCJjb3VudCI6MSwiZGV0ZXJtaW5hbnQiOjYsImtpbmQiOiJhbnkiLCJyYW5nZSI6Niwicm93cyI6M30&s=bitcoin&r=966862"},"uses_entropy":true,"reproducible":true}