SDCR-CORE v0.3 Two-Qubit Symmetry-Specificity Challenge: Sealed Mathematical Replication Protocol and Cryptographic Commitments

This record freezes the mathematical and numerical specification of the SDCR-CORE v0.3 Two-Qubit Symmetry-Specificity Challenge. The challenge is formulated entirely within standard finite-dimensional Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) open-system dynamics. It uses the logical sector span{|01>,|10>}, the exchange Hamiltonian H_J, and the collective and differential dephasing operators L_+ = (Z_1 + Z_2)/sqrt(2) and L_- = (Z_1 - Z_2)/sqrt(2). The declared target retains the symmetry-compatible collective channel and suppresses the differential channel. The frozen FULL protocol fixes the Hilbert-space basis, vectorisation convention, Kossakowski-selector map, central parameters, observables, time grid, uniform-capacity comparator, channel-permutation comparator, 512 equal-rank/equal-spectrum random-subspace nulls, 96 dissipative-gap-matched nulls, a 64-case paired bootstrap bank with 20,000 resamples, a 96-case held-out fidelity bank, complete-positivity and state-physicality audits, global unitary-covariance checks, independent propagation cross-checks, random-generator family and draw order, numerical tolerances, and immutable PASS/BLOCKED/INVALID logic. The reference implementation and completed FULL output archive were executed and inspected before this record was prepared. This release is therefore not a prospectively blinded physical validation. Their SHA-256 commitments are published here, while the source and numerical outputs are temporarily withheld from the independent replicator until an independently written implementation, result archive, environment record, gate ledger, and cryptographic hashes have been submitted. This separation is intended to test implementation-independent reproducibility from the mathematics rather than code imitation. Any PASS is limited to selector specificity inside the declared synthetic two-qubit GKSL/decoherence-free-subspace benchmark. It does not establish HLV, FFGFT, Spiral-Time, new quantum dynamics, hardware performance, or physics beyond standard symmetry protection.