{"artifact_id":"L1-424","layer":"L1","title":"Carbon Cycle Biogeochemical Inversion","domain":"Environmental Science","sub_domain":"Carbon cycle","physics_fingerprint":{"L_DAG":4.5,"title":"Carbon Cycle Biogeochemical Inversion","domain":"Environmental Science","carrier":"N/A","primitives":["D.space","O.bayesian.flux_inversion","S.prior.biosphere_model"],"sub_domain":"Carbon cycle","noise_model":"observation_gaussian","problem_class":"linear_inverse","solution_space":"NEE_flux_map","difficulty_delta":5,"integration_axis":"global_atmosphere_land_ocean","sensing_mechanism":"atmospheric_CO2_inversion"},"observable_profile":{"metric":"global_NEE_uncertainty_GtC_yr","regime":"Existence of the recovered NEE_flux_map 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 ~= 2000); transport_model_error dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Observation gaussian sets the irreducible data-fidelity floor.","secondary":"regional_flux_RMSE_GtC_yr"},"size_tiers":{"center_spec":{"omega":{"N_flux_regions":22,"N_surface_stations":100,"prior_uncertainty_GtC_yr":1.0,"satellite_coverage_percent":50},"input_format":"measurement_only","problem_class":"linear_inverse","forward_operator":"atmospheric_CO2_inversion","epsilon_fn_center":"0.5 global_NEE_uncertainty_GtC_yr"},"omega_bounds":{"N_flux_regions":[11,100],"N_surface_stations":[10,300],"prior_uncertainty_GtC_yr":[0.1,5.0],"satellite_coverage_percent":[0,100]},"epsilon_bounds":{"global_NEE_uncertainty_GtC_yr":[0.1,3.0]},"allowed_problem_classes":["linear_inverse"],"allowed_omega_dimensions":["N_surface_stations","N_flux_regions","satellite_coverage_percent","prior_uncertainty_GtC_yr"],"allowed_forward_operators":["atmospheric_CO2_inversion"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":100000.0,"metric":"global_NEE_uncertainty_GtC_yr"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xb449860f3dfd465ee0960a622f14af2a8a647ff443f04cc61139dae3c126ea46","chain_tx_hash":"0x8469da3bb1ffa075fd7a1dc7d6f060aee338ce578a452415008be885c5f749a2","chain_block":41555239}