{"description":"Two individual counts on Core’s opening nested Gaussian sequence; not a first-crossing certificate.","identity":{"sampler":"nested-schur-v1","seed":20261002,"gamma":100,"d0":50000,"target":0.1},"trainingCapRelativeToZero":1,"convention":"W=L L^T; clean labels y=s. Fresh risk=(gamma*s^T*alpha-1)^2+alpha^T*W*alpha. Training ratio=||K*alpha-s||^2/||s||^2; K=W+gamma*s*s^T.","numericalScope":"Stored IEEE double inputs and coefficients; production sampler reconstruction may differ in the last bits across platforms. The independent verifier checks these stored inputs and recomputes residuals with a conservative comparison reserve, not interval arithmetic.","signal":[0.7272348756930399,-1.3126357681245011,0.6044481063417891,-0.13371509746792593,-0.8462275791957716,1.1042653527886257,1.5724838860129047,0.36998995208008995,1.2913793932040867,1.4148076069626503,2.026937921569705,2.448007587248106,1.1637228987103396,-1.3689437137722873,2.4241009627945664,0.07551718399733275,0.706217537108196,-1.5541162091376644,-1.7740545825138003,-0.6968022046408824,-0.6555422186307568,-0.591080655438497,-0.5611117591577569,0.6283455858575699,-0.8653385344633788,-0.036808863810387275,-1.2912004601957658,0.2658553815334647,1.4375215762781046,0.3443825779561953,0.18566187074229198,-0.4412576535586602,0.8681323271238909,-0.5774971711266634,0.34859095121564654,-0.3565876419548113,0.3617167314934406,-1.190293239477043,-0.16208426685779556,-0.8761125770749186,1.9788111675429703,-1.7045227891094639,-0.5839202720638883,-0.5339784895092974,-1.8548960331691384,-0.3108571732238699,-1.2627861414159889,0.3434982568525722,0.22690291213065525,-0.014640305325908468,1.0867456069688688,0.216484602210166,-0.6067357253361692,1.4007649438781373,1.77355924548855,0.21010009746869213,1.8221847893745826,-1.5152595661429067,-0.4862079310011072,0.4046378446903951,-1.0359925367675002,-1.3995151030045225,1.5180432760711629,-1.8281128514822167,-0.8905757529299722,-1.1352600703420952,-0.6568235510203209,0.8784294026214521,-1.011068310782445,0.4872953595125461,-0.3862561531547878,0.32388798921395,1.0791614088054098,-0.1621988377705299,1.2419481739958542,-2.5912332464567354,-1.2558728106786707,-0.36692877652856004,-1.2044787873144625,0.18373104343062027,-0.3145307349124749,-0.0238622196111609,-1.2263562069661762,-0.09396010512335608,-0.6449919882753137,1.949591881974948,0.6749498711646122,0.21483482296843456,0.6179142247515335,-0.11307424083886913,2.2882770880238645,0.009719207023650709,-0.4364689918103031,0.26839546904824974,0.614973312472839,-1.061802902641505,-0.9295893140940844,-1.198699987141444,0.01892678565591222,-0.6026444842512254,-0.7406866853097533,2.0183747918641792,2.0742828000714564,1.2432056453505698,1.4727675864786276,1.2979235031260403,-0.6236803705406707,0.7919407422392125,-0.2166434389101114,-0.6916113908847948,0.6015265290648983,-0.20559585269668224,-0.0897383652589052,-0.3125629419773183,0.38202383122268113,-1.4458499313653737,-0.669230573270417,0.718607421903279,1.4514917001484235,0.28171061706282063,0.7013819236597574,0.8750417801399291,-0.7874680438386296,0.6197931259782662,-0.7374121430615632,2.212107301363935,2.187952103154634,-0.533075261680146,-0.7726116819597229,2.0622030923055044,1.6371993353237135,-0.3568692385838393,2.15700694511933,0.05961802903997658,1.49662993545,-0.4503347141884805,1.3388687600102311,-0.7131563536670725,0.012743515802598016,-2.1845247054564965,-0.8416792644292443,-1.5110497053168241,-0.6081252432518462,-1.8511540023849942,0.6025194935448304,-2.0765591044931417,-1.2235121627843621,-0.09368696085572945,-0.9256106444077302,-0.7749664605064385,-0.8654146965576933,1.0125563454204296,-0.9133901724714552,1.2616771766559483,-0.8971181736343742,0.521387025369734,0.5794486726235957,-0.45171579927240624,1.9873305791626323,-1.5063538202922813,-0.12641399406371598,-0.19239320710904842,0.5475808719833253,-0.25317759164212533,0.3120495558866175,0.37603705195206977,-0.36619343957673717,0.4565627002181985,-0.31395539061020095,1.788079972660751,-0.3901871086124834,-0.8431857395046257,0.277003666758648,-0.1519575395421015,2.8211041371042547,-1.8009403269507733,0.8564496172177144,-0.8650358662487505,-0.862137956649698,0.1256936536147949,1.47865249971256,1.1455221129722628,2.7159466147940208,-0.2548473318276369,-0.24984654851709814,-1.912820548804719,1.1510428840117264,-0.8856952171629014,-1.4473521646811052,0.07016035956268223,0.7985739544759749,-0.933316440191611,0.24952755317881967,1.1242028100632802,0.24551826740131186,0.35774182438106816,-0.37664308756859494,-0.9486602069198242,0.2515508647864786,1.216858532077022,0.6198469029780289,-1.978509775824077,-0.9799836762085041,0.39150644256143524,-0.6730144966683451,0.19756951302854012,0.19441663076797505,-0.12364387047804157,-1.0133629449762847,-0.9109305206195916,-0.9137954278289775,-0.6221074673959754,0.37032067358043214,-0.7676359069791864,0.2709378165745932,-0.33293987926407836,-0.29439823480153715,1.6076872782369906,1.1991049138447896,-0.2696738394622129,-0.378283918018809,1.0142017172002127,-0.584487590644302,-0.8070247824127075,-1.1434739148548538,-1.2417816816248746,0.34810905168953443,0.9583980745115788,-0.5666771765884219,0.44942825997358166,0.8228529876385509,-0.05578259229658879,-0.2647883532204108,-1.664468573609775,0.49432590477757266,0.221743843532173,0.6617173747934849,0.33336617570659605,-1.703985785048068],"nuisanceFactor":[[224.4227192249526],[-0.6629287144766943,224.350133992779],[-0.09740090046746781,0.3483260033517939,223.36990757049088],[0.24143204988985095,0.8297148299576347,0.9227354824552928,222.9105471679176],[0.05658270378658248,-0.2232625945575421,-0.5966126627562853,-0.11811677542228197,2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