id,proposition,classification,evidence,limitations,manuscript_section,primary_files C01,Exact six-state moving-frame factorization,B/model theorem,Proved algebraically in the declared finite-dimensional model; numerical residual 2.57e-9 or below.,Specific coherent recovery jumps and compensating controls are assumed; no chemistry implementation.,5,manuscript/PZHRD_Research.md; src/tangent_transport.py; results/tangent_study.json; results/repeat_checks.csv C02,Full tangent correctability implies scalar local curvature,B/model theorem,Knill–Laflamme tangent Gram condition yields scalar curvature.,"Exact correction of full tangent span by one recovery, local contractible-loop setting; not a general no-go for encoded holonomic computation.",5,manuscript/PZHRD_Research.md; src/tangent_transport.py; results/tangent_study.json; results/repeat_checks.csv C03,Isospectral-base pair-tag addressing,B/model construction,Three-tag retargeting and q=6 pair construction checked.,Tags have physically different couplings; compensating Hamiltonians need not remain isospectral.,5,manuscript/PZHRD_Research.md; src/tangent_transport.py; results/tangent_study.json; results/repeat_checks.csv C04,Population-return recovery can damage logical holonomy,B/executed model,Initial and matched smooth ablations retain this failure.,Not a theorem that every dissipative implementation is inferior.,20,manuscript/PZHRD_Research.md; src/tangent_transport.py; results/tangent_study.json; results/repeat_checks.csv C05,Corrected recovery outperforms matched coherent control,Failed in tested model,No supporting result: coherent selectivity 2188.6 versus corrected recovery 774.5.,Other noise models or resource constraints remain untested; these scores apply to the present evidence.,20,manuscript/PZHRD_Research.md; src/tangent_transport.py; results/tangent_study.json; results/repeat_checks.csv C06,Useful chemical recovery and commit interface,C/unvalidated hypothesis,"Specified operator and experimental contract, not fabricated.","Molecular observability, physical reservoir engineering and energy cost remain unproved.",21,manuscript/PZHRD_Research.md; experiments/18_history_selected_chemical_commitment.md; experiments/19_logical_chemistry.md C07,Restricted logical chemistry demonstration,C/unvalidated hypothesis,Two-route-plus-third-route protocol and exact hypothetical CTMC supplied.,No chemical rates fitted or measured; no universal chemistry claim.,19,manuscript/PZHRD_Research.md; experiments/18_history_selected_chemical_commitment.md; experiments/19_logical_chemistry.md C08,Exact commit-race error probability,B/model theorem,Analytic formula checked against transient generator and matrix exponential.,Four-state rate assumptions; no hidden irreversible channels.,11,manuscript/PZHRD_Research.md; src/scaling_and_logic.py; results/logical_routes.csv C09,Conditional compositional construction,B/conditional proposition,Union-bound and contract-preservation argument.,"Reachable validated decomposition is a premise, not established for arbitrary matter.",9,manuscript/PZHRD_Research.md; src/scaling_and_logic.py; results/scaling.csv C10,Trillion-port joint closure of all six bottlenecks,D/speculative moonshot,Only scenario bounds and stop/go conditions.,"No trillion-port controller, metrology, feedstock, or thermal integration.",16,manuscript/PZHRD_Research.md; src/scaling_and_logic.py; results/scaling.csv C11,Heterogeneous factory more plausible than one universal chemistry,C/architecture assessment,Material-family and environmental incompatibilities explicitly decomposed.,Not proof of universal coverage or a minimum number of regimes.,22,manuscript/PZHRD_Research.md; src/scaling_and_logic.py; results/scaling.csv C12,Repeated checks give unlimited multiplicative selectivity,Failed beyond model floors,Persistent aliases and reaction background bound selectivity.,Conditional independent-readout suppression applies only above those floors.,17,manuscript/PZHRD_Research.md; src/scaling_and_logic.py; results/scaling.csv