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3","meta":{"distribution":"Poisson \u2014 arrivals in a fixed window","parameters":"\u03bb = 4","histogram":{"discrete":true,"lo":0,"hi":12,"width":1,"counts":[15,87,144,199,196,136,118,50,35,15,3,2],"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],"outside":0},"observed_mean":3.961,"observed_variance":3.999,"expected_mean":4,"expected_variance":4,"mean_at_tenth":3.74,"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":34727,"rejections":0,"entropy_in_bytes":16,"duration_us":5900},"receipt":{"source":"iss","source_label":"ISS Position","class":"C","class_label":"Observational","caveat":"Carries only tens of bits of genuine surprise. Always mixed with the OS CSPRNG.","narrative":"The ISS was over 51.36\u00b0 S, 26.86\u00b0 E \u2014 2,060 km south of Cape Town \u2014 when this was drawn.","proof_url":"https:\/\/www.openstreetmap.org\/#map=3\/-51.36\/26.86","reference":"1793362839","observed_at":"2026-10-30T12:20:39+00:00","degraded":false,"mixed_with_csprng":true,"latency_ms":157,"cached":false},"seed":{"token":"BVQFY52VB5XDPQ61768V977JM0","permalink":"https:\/\/randomly.cluxnei.dev\/r\/BVQFY52VB5XDPQ61768V977JM0?g=numbers.distribution&v=1&p=eyJhbHBoYSI6MiwiYmV0YSI6NSwiYmlucyI6MzAsImNvdW50IjoxMDAwLCJkZWNpbWFscyI6MywiZGlzdHJpYnV0aW9uIjoicG9pc3NvbiIsImxhbWJkYSI6NCwicCI6MC4zLCJzY2FsZSI6MSwic3VwcG9ydCI6MTAwLCJ0cmlhbHMiOjQwfQ&s=iss&r=1793362839"},"uses_entropy":true,"reproducible":true}