TFPT scientific source excerpt Original repository path: experiments/theory-contracts/native-arc-charge-source-interface-20261026/projector_state_rigidity_results.json Original file SHA-256: 40737f35ef6967cdfa2742f5f79d722f677a1adbb5a3770b9b0ee12bd190fe75 Inclusive original lines: 1-22 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000001 | { 000002 | "claim": "UR.NATIVE.ARCCHARGE.PROJECTOR-STATE.01", 000003 | "verdict": "PASS_EXACT_SCOPED_PROJECTOR_STATE_AND_MARGINAL_CONTROLS", 000004 | "actual_annulus_graph_projector": true, 000005 | "ordered_four_field_words_checked": 256, 000006 | "arbitrary_positive_state_analytic_theorem": "PROJECTOR-STATE-RIGIDITY.txt Section2", 000007 | "additional_gaussian_premise_needed_for_projector_uniqueness": false, 000008 | "actual_lowest_ns_mode": { 000009 | "p": "0.0414238321663628268134535", 000010 | "x": "0.199268407669193340216811" 000011 | }, 000012 | "same_marginal_controls_have_different_fourpoint": true, 000013 | "excitation_counter_spectrum": { 000014 | "0": 1, 000015 | "1": 2, 000016 | "2": 1 000017 | }, 000018 | "coherence_defect": "-4*r**2*(t - 1)/(r**2 + 1)**2", 000019 | "infinite_source_identity_verified_by_finite_samples": false, 000020 | "primitive_p1_joint_covariance_derived": false, 000021 | "promotion": false 000022 | }