{"artifact_id":"L1-481","layer":"L1","title":"Parton Distribution Functions (DGLAP)","domain":"Particle Physics","sub_domain":"QCD phenomenology","physics_fingerprint":{"L_DAG":5.0,"title":"Parton Distribution Functions (DGLAP)","domain":"Particle Physics","carrier":"particle","primitives":["N.pointwise","F.mellin.transform","O.chi2.cross_section_data"],"sub_domain":"QCD phenomenology","noise_model":"experimental_gaussian","problem_class":"nonlinear_inverse","solution_space":"PDF_function_space","difficulty_delta":10,"integration_axis":"bjorken_x","sensing_mechanism":"deep_inelastic_scattering"},"observable_profile":{"metric":"chi2_per_dof_global_fit","regime":"Existence of the recovered PDF_function_space is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by declared priors. Stability is conditionally stable (kappa_eff ~= 10000.0); nuclear_correction_uncertainty dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Experimental gaussian sets the irreducible data-fidelity floor.","secondary":"PDF_uncertainty_band_percent"},"size_tiers":{"center_spec":{"omega":{"Q_range_GeV":1000,"N_data_points":3000,"alpha_s_value":0.118,"x_min_bjorken":1e-05},"input_format":"measurement_only","problem_class":"nonlinear_inverse","forward_operator":"deep_inelastic_scattering","epsilon_fn_center":"1.05 chi2_per_dof_global_fit"},"omega_bounds":{"Q_range_GeV":[10,10000],"N_data_points":[100,10000],"alpha_s_value":[0.11,0.125],"x_min_bjorken":[1e-06,0.01]},"epsilon_bounds":{"chi2_per_dof_global_fit":[0.8,2.0]},"allowed_problem_classes":["nonlinear_inverse"],"allowed_omega_dimensions":["N_data_points","x_min_bjorken","Q_range_GeV","alpha_s_value"],"allowed_forward_operators":["deep_inelastic_scattering"]},"hardness_fn":{"type":"epsilon_fn","delta":10,"kappa":1000000.0,"metric":"chi2_per_dof_global_fit"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xaeffe6d3b9db61dc28582c8613e73539a794a3004fe5d1df599e576f6b4bf17a","chain_tx_hash":"0x41a04ee30d49fe320e0465af284462b14e987ba2a60d2009e6e0f883f8e766af","chain_block":41555301}