{"artifact_id":"L1-480","layer":"L1","title":"Lattice QCD Path Integral","domain":"Particle Physics","sub_domain":"Lattice field theory","physics_fingerprint":{"L_DAG":6.0,"title":"Lattice QCD Path Integral","domain":"Particle Physics","carrier":"particle","primitives":["S.hmc.hybrid_monte_carlo","D.space","O.correlator.hadron_spectrum"],"sub_domain":"Lattice field theory","noise_model":"monte_carlo_statistical","problem_class":"statistical_inverse","solution_space":"QCD_observable_spectrum","difficulty_delta":50,"integration_axis":"spacetime_lattice","sensing_mechanism":"lattice_gauge_mc_sampling"},"observable_profile":{"metric":"hadron_mass_RMSE_MeV","regime":"Existence of the recovered QCD_observable_spectrum 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 ~= 1000000.0); discretization_error_O_a2 dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Monte carlo statistical sets the irreducible data-fidelity floor.","secondary":"continuum_extrapolation_chi2"},"size_tiers":{"center_spec":{"omega":{"N_configs":500,"N_L_spatial":32,"N_T_temporal":64,"beta_coupling":6.2},"input_format":"measurement_only","problem_class":"statistical_inverse","forward_operator":"lattice_gauge_mc_sampling","epsilon_fn_center":"5 hadron_mass_RMSE_MeV"},"omega_bounds":{"N_configs":[100,10000],"N_L_spatial":[8,64],"N_T_temporal":[16,128],"beta_coupling":[5.5,7.0]},"epsilon_bounds":{"hadron_mass_RMSE_MeV":[0.5,50]},"allowed_problem_classes":["statistical_inverse"],"allowed_omega_dimensions":["N_L_spatial","N_T_temporal","beta_coupling","N_configs"],"allowed_forward_operators":["lattice_gauge_mc_sampling"]},"hardness_fn":{"type":"epsilon_fn","delta":50,"kappa":10000000000.0,"metric":"hadron_mass_RMSE_MeV"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x328a83a9fb2a8e5db58e86bf5dce897a2fad750fb0eb332808a9313010e62593","chain_tx_hash":"0xdc01e867600c259e0693960671052d94ea9616497a226a91ad446cb2b965ad65","chain_block":41555301}