{"artifact_id":"L1-373","layer":"L1","title":"Pulsar Timing Array GW Background","domain":"Astrophysics","sub_domain":"Gravitational wave astronomy","physics_fingerprint":{"L_DAG":4.0,"title":"Pulsar Timing Array GW Background","domain":"Astrophysics","carrier":"radio_wave","primitives":["S.pulsar.timing_residuals","F.fourier.spectral_density","O.entropy.bayesian"],"sub_domain":"Gravitational wave astronomy","noise_model":"timing_noise_red_white","problem_class":"statistical_inverse","solution_space":"GW_background_spectrum","difficulty_delta":5,"integration_axis":"temporal_timing","sensing_mechanism":"pulsar_timing_residuals"},"observable_profile":{"metric":"GWB_Bayes_factor_log10","regime":"Existence of the recovered GW_background_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 ~= 1000); solar_system_ephemeris_error dominates the stability cliff; the remaining mismatch parameters contribute higher-order bias terms. Timing noise red white sets the irreducible data-fidelity floor.","secondary":"A_15_constraint_sigma"},"size_tiers":{"center_spec":{"omega":{"N_psr":25,"T_obs_yr":15,"cadence_yr":0.04,"noise_rms_ns":100},"input_format":"measurement_only","problem_class":"statistical_inverse","forward_operator":"pulsar_timing_residuals","epsilon_fn_center":"3.0 GWB_Bayes_factor_log10"},"omega_bounds":{"N_psr":[10,100],"T_obs_yr":[5,25],"cadence_yr":[0.01,0.1],"noise_rms_ns":[10,1000]},"epsilon_bounds":{"GWB_Bayes_factor_log10":[0.5,6.0]},"allowed_problem_classes":["statistical_inverse"],"allowed_omega_dimensions":["N_psr","T_obs_yr","cadence_yr","noise_rms_ns"],"allowed_forward_operators":["pulsar_timing_residuals"]},"hardness_fn":{"type":"epsilon_fn","delta":5,"kappa":100000.0,"metric":"GWB_Bayes_factor_log10"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xe0534c020796d29359f451a6360471ab64d3af89284fc8c7b563e6774a3b3f05","chain_tx_hash":"0x9df456984c82fa2d5356189cade6f2d81c182a6e4844c914e3ae93f23ecad579","chain_block":41555177}