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3","meta":{"distribution":"Poisson \u2014 arrivals in a fixed window","parameters":"\u03bb = 4","histogram":{"discrete":true,"lo":0,"hi":15,"width":1,"counts":[18,73,148,202,196,163,96,51,36,10,6,0,0,0,1],"expected":[18.316,73.263,146.525,195.367,195.367,156.293,104.196,59.54,29.77,13.231,5.292,1.925,0.642,0.197,0.056],"outside":0},"observed_mean":3.959,"observed_variance":3.889,"expected_mean":4,"expected_variance":4,"mean_at_tenth":3.72,"undefined_moments":null,"note":"Counts of events that happen independently at a constant average rate: emails in an hour, decays in a second. Its variance equals its mean, which is the property that makes it recognisable.","method":"Knuth: multiply uniforms until the product falls below e^(\u2212\u03bb). Exact, and costs about \u03bb + 1 draws.","stream_bytes_used":34713,"rejections":0,"entropy_in_bytes":16,"duration_us":5542},"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 967,005 \u2014 19 leading zeros of proof-of-work, found about ten minutes ago.","proof_url":"https:\/\/mempool.space\/block\/00000000000000000001265659689873b006b142e6db4b73abcfeb895a5924d8","reference":"967005","observed_at":"2026-09-14T18:04:00+00:00","degraded":false,"mixed_with_csprng":true,"latency_ms":976,"cached":false},"seed":{"token":"BR2RRFDN9F91GZG7EHWNHY6TMC","permalink":"https:\/\/randomly.cluxnei.dev\/r\/BR2RRFDN9F91GZG7EHWNHY6TMC?g=numbers.distribution&v=1&p=eyJhbHBoYSI6MiwiYmV0YSI6NSwiYmlucyI6MzAsImNvdW50IjoxMDAwLCJkZWNpbWFscyI6MywiZGlzdHJpYnV0aW9uIjoicG9pc3NvbiIsImxhbWJkYSI6NCwicCI6MC4zLCJzY2FsZSI6MSwic3VwcG9ydCI6MTAwLCJ0cmlhbHMiOjQwfQ&s=bitcoin&r=967005"},"uses_entropy":true,"reproducible":true}