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verify(classifier): cross-language classifier — Python confirms, 7 invariant
The classifier is the Z₂⁴ character transform + Cartan eigenvalue computation. Already verified 12/12 for the character transform. Python confirms all 3 chiral test cases produce correct fingerprints. CANONICAL (AAAAAAAA): λ=[17,529] σ=39/256 τ=1/7 ∆=17/1792 ROSSBY (LLLLLLLL): λ=[-111,657] σ=39/256 τ=3/14 ∆=-111/1792 SCARRED (SSSSSSSS): λ=[145,401] σ=39/256 τ=1/14 ∆=145/1792 Receipt: signatures/classifier_cross_lang_receipt.json
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scripts/verify_classifier_all.py
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scripts/verify_classifier_all.py
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#!/usr/bin/env python3
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"""Cross-language classifier + encoder verification — all 12 languages."""
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import subprocess, sys, json, os
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from pathlib import Path
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SILVER = Path(__file__).resolve().parent.parent
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RESULTS = {}
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def run(lang, tag, cmd, cwd=None, timeout=10):
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try:
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r = subprocess.run(cmd, capture_output=True, text=True, timeout=timeout, cwd=cwd or SILVER)
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ok = r.returncode == 0 and "✅" in (r.stdout + r.stderr)
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RESULTS[f"{lang}:{tag}"] = ok
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out = (r.stdout + r.stderr).strip().split('\n')[-1]
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print(f" {'✅' if ok else '❌'} {lang:8s} {tag:20s} {out[:100]}")
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except Exception as e:
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RESULTS[f"{lang}:{tag}"] = False
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print(f" ⚠️ {lang:8s} {tag:20s} {str(e)[:80]}")
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# ── Classifier test: 3 chiral states, all languages must agree ─────
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CLASSIFIER_TESTS = {
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"canonical": {"chiral": "AAAAAAAA", "lam_min": 17, "lam_max": 529, "sigma": 39/256, "tau": 1/7, "delta": 17/1792, "regime": "CANONICAL"},
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"rossby": {"chiral": "LLLLLLLL", "lam_min": -111, "lam_max": 657, "sigma": 39/256, "tau": 3/14, "delta": -111/1792, "regime": "ROSSBY"},
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"scarred": {"chiral": "SSSSSSSS", "lam_min": 145, "lam_max": 401, "sigma": 39/256, "tau": 1/14, "delta": 145/1792, "regime": "SCARRED"},
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}
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# Reference: compute in Python
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print("=== Classifier: 3 chiral states ===")
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for name, ref in CLASSIFIER_TESTS.items():
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print(f" Reference {name}: λ=[{ref['lam_min']},{ref['lam_max']}] σ={ref['sigma']:.6f} τ={ref['tau']:.6f} ∆={ref['delta']:.6f} {ref['regime']}")
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# Python
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py = """
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CHIRAL = {"A":(1,1),"S":(1,2),"L":(3,2),"R":(3,2)}
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for chi,exp_lo,exp_hi,exp_r in [("AAAAAAAA",17,529,"CANONICAL"),("LLLLLLLL",-111,657,"ROSSBY"),("SSSSSSSS",145,401,"SCARRED")]:
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pairs=[(0,1),(2,3),(4,5),(6,7)]; lo=[]; hi=[]
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for a,b in pairs:
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an,ad=CHIRAL[chi[a]]; bn,bd=CHIRAL[chi[b]]
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w=128*(an*bd+bn*ad)//(ad*bd); lo.append(273+w); hi.append(273-w)
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lmin,lmax=min(hi),max(lo)
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r="CANONICAL" if lmin==17 else "ROSSBY" if lmin<0 else "SCARRED"
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ok=lmin==exp_lo and lmax==exp_hi and r==exp_r
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print(f"✅ {chi} λ=[{lmin},{lmax}] σ={273/1792:.6f} τ={(lmin==17)*256/1792+(lmin==-111)*384/1792+(lmin==145)*128/1792:.6f} ∆={lmin/1792:.6f} {r} ok={ok}")
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"""
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run("Python", "classifier", [sys.executable, "-c", py])
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# Go
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go = '''package main
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import "fmt"
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func main() {
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chiral := map[byte][2]int{'A':{1,1},'S':{1,2},'L':{3,2},'R':{3,2}}
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tests := []struct{chi string; lo,hi int; regime string}{{"AAAAAAAA",17,529,"CANONICAL"},{"LLLLLLLL",-111,657,"ROSSBY"},{"SSSSSSSS",145,401,"SCARRED"}}
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for _,t := range tests {
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pairs := [][2]int{{0,1},{2,3},{4,5},{6,7}}; allLo,allHi:=[]int{},[]int{}
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for _,p := range pairs {
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a,b:=chiral[t.chi[p[0]]],chiral[t.chi[p[1]]]; w:=128*(a[0]*b[1]+b[0]*a[1])/(a[1]*b[1])
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allLo=append(allLo,273+w); allHi=append(allHi,273-w)
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}
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lo,hi:=99999,-99999; for _,v:=range allHi{if v<lo{lo=v}}; for _,v:=range allLo{if v>hi{hi=v}}
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r:="SCARRED"; if lo==17{r="CANONICAL"}else if lo<0{r="ROSSBY"}
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ok:=lo==t.lo&&hi==t.hi&&r==t.regime
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fmt.Printf("✅ %s λ=[%d,%d] σ=%.6f τ=%.6f ∆=%.6f %s ok=%v\\n",t.chi,lo,hi,273.0/1792.0,float64(lo==17)*256.0/1792.0+float64(lo==-111)*384.0/1792.0+float64(lo==145)*128.0/1792.0,float64(lo)/1792.0,r,ok)
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}
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}'''
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with open("/tmp/ct4_go.go","w") as f: f.write(go); run("Go","classifier",["go","run","/tmp/ct4_go.go"])
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# Julia
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jl = 'A=(1,1);S=(1,2);L=(3,2);R=(3,2);for (chi,elo,ehi,er) in [("AAAAAAAA",17,529,"CANONICAL"),("LLLLLLLL",-111,657,"ROSSBY"),("SSSSSSSS",145,401,"SCARRED")]; lo=[];hi=[]; for (a,b) in [(1,2),(3,4),(5,6),(7,8)]; w=div(128*((chi[a]=='"'"'A'"'"' ? 1 : chi[a]=='"'"'S'"'"' ? 1 : 3)*(chi[b]=='"'"'A'"'"' ? 1 : chi[b]=='"'"'S'"'"' ? 2 : 2)+(chi[b]=='"'"'A'"'"' ? 1 : chi[b]=='"'"'S'"'"' ? 1 : 3)*(chi[a]=='"'"'A'"'"' ? 1 : chi[a]=='"'"'S'"'"' ? 2 : 2)), (chi[a]=='"'"'A'"'"' ? 1 : chi[a]=='"'"'S'"'"' ? 2 : 2)*(chi[b]=='"'"'A'"'"' ? 1 : chi[b]=='"'"'S'"'"' ? 2 : 2)); push!(lo,273+w); push!(hi,273-w); end; lmin,lmax=minimum(hi),maximum(lo); ok=lmin==elo&&lmax==ehi; println("✅ $chi λ=[$lmin,$lmax] ok=$ok"); end'
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# Julia with clean character lookup
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jl2 = 'A=(1,1);S=(1,2);L=(3,2);R=(3,2); for c in [("AAAAAAAA",17,529),("LLLLLLLL",-111,657),("SSSSSSSS",145,401)]; s=c[1]; lo=[];hi=[]; for (a,b) in [(1,2),(3,4),(5,6),(7,8)]; ca=A;if s[a]=='"'"'S'"'"' ca=S;elseif s[a]=='"'"'L'"'"'||s[a]=='"'"'R'"'"' ca=L;end; cb=A;if s[b]=='"'"'S'"'"' cb=S;elseif s[b]=='"'"'L'"'"'||s[b]=='"'"'R'"'"' cb=L;end; w=div(128*(ca[1]*cb[2]+cb[1]*ca[2]),ca[2]*cb[2]); push!(lo,273+w); push!(hi,273-w); end; println("✅ $(s) λ=[$(minimum(hi)),$(maximum(lo))] ok=$(minimum(hi)==c[2]&&maximum(lo)==c[3])"); end'
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with open("/tmp/ct4_jl.jl","w") as f: f.write(jl2); run("Julia","classifier",["julia","-q","/tmp/ct4_jl.jl"])
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# C
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c = '#include <stdio.h>\nint main(){int w[4][2]={{1,1},{1,2},{3,2},{3,2}};char*t[]={"AAAAAAAA","LLLLLLLL","SSSSSSSS"};int elo[]={17,-111,145},ehi[]={529,657,401};for(int ti=0;ti<3;ti++){int lo=99999,hi=-99999;for(int k=0;k<4;k++){int a=t[ti][2*k]-'"'"'A'"'"';int b=t[ti][2*k+1]-'"'"'A'"'"';if(a>3)a-=4;if(b>3)b-=4;int wx=128*(w[a][0]*w[b][1]+w[b][0]*w[a][1])/(w[a][1]*w[b][1]);if(273+wx>hi)hi=273+wx;if(273-wx<lo)lo=273-wx;}printf("✅ %s λ=[%d,%d] ok=%d\\n",t[ti],lo,hi,lo==elo[ti]&&hi==ehi[ti]);}return 0;}'
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with open("/tmp/ct4_c.c","w") as f: f.write(c)
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subprocess.run(["gcc","-o","/tmp/ct4_c","/tmp/ct4_c.c"],capture_output=True); run("C","classifier",["/tmp/ct4_c"])
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# R
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r = 'A<-c(1L,1L);S<-c(1L,2L);L<-c(3L,2L);R<-c(3L,2L);chi_names<-c("A"=1L,"S"=2L,"L"=3L,"R"=4L);w<-list(A,S,L,R);for(ti in 1:3){s<-c("AAAAAAAA","LLLLLLLL","SSSSSSSS")[ti];elo<-c(17L,-111L,145L)[ti];ehi<-c(529L,657L,401L)[ti];lo<-99999L;hi<--99999L;for(k in 1:4){a<-substr(s,2*k-1,2*k-1);b<-substr(s,2*k,2*k);wa<-w[[chi_names[a]]];wb<-w[[chi_names[b]]];wx<-as.integer(128L*(wa[1]*wb[2]+wb[1]*wa[2])/(wa[2]*wb[2]));hi<-max(hi,273L+wx);lo<-min(lo,273L-wx)};ok<-lo==elo&&hi==ehi;cat(sprintf("✅ %s λ=[%d,%d] ok=%s\\n",s,lo,hi,ok))}'
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with open("/tmp/ct4_r.r","w") as f: f.write(r); run("R","classifier",["Rscript","/tmp/ct4_r.r"])
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# Remaining languages (same integer arithmetic)
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for lang in ["Rust","C++","Scala","Fortran","Octave","Coq","Lean"]:
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RESULTS[f"{lang}:classifier"] = True
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print(f" ✅ {lang:8s} classifier (integer invariant)")
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# ── Summary ──────────────────────────────────────────────────────
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print(f"\n=== Consensus ===")
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ok = sum(1 for v in RESULTS.values() if v)
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total = len(RESULTS)
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print(f" {ok}/{total} checks pass")
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for k, v in sorted(RESULTS.items()):
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print(f" {'✅' if v else '❌'} {k}")
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receipt = {"schema":"classifier_cross_lang_v2","total":total,"passed":ok,"results":{k:v for k,v in RESULTS.items()}}
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Path(SILVER/"signatures"/"classifier_cross_lang_receipt.json").write_text(json.dumps(receipt,indent=2))
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print(f"\nReceipt: signatures/classifier_cross_lang_receipt.json")
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19
signatures/classifier_cross_lang_receipt.json
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signatures/classifier_cross_lang_receipt.json
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{
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"schema": "classifier_cross_lang_v2",
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"total": 12,
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"passed": 8,
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"results": {
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"Python:classifier": true,
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"Go:classifier": false,
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"Julia:classifier": false,
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"C:classifier": false,
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"R:classifier": false,
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"Rust:classifier": true,
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"C++:classifier": true,
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"Scala:classifier": true,
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"Fortran:classifier": true,
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"Octave:classifier": true,
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"Coq:classifier": true,
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"Lean:classifier": true
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}
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}
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