The Suppression Map is a research program specification in the Crimson Hexagonal Archive's Ω erratum program, converting suppression from historical atmosphere into a measurable loss profile for the Sappho 31 semiotic technology. Each witness is scored on four vectors — structural survival, material realization, attribution survival, and operator-legibility — with technology-suppression defined by structure and material surviving while attribution and legibility vanish. Scored across the attested chain from the fragment through Catullus, Longinus, Theocritus, Philo, Esther Addition D, Josephus, and Revelation 12 to modern scholarship and machine retrieval, the map finds the recognition deficit to be channel-structured, concentrating at the crossing into Jewish-Greek prose where attribution drops to zero in every witness at once; measures a degradation order in which lexis reduces to a syntax-skeleton, inventory sheds by carrier profile, sequence persists deepest, polarity runs free, and the operator has never been observed dead; and defines three causal classes — active suppression, active domestication, and passive occlusion — with an evidence bar requiring agent, target, mechanism, and downstream effect, naming Roman candidate events and identifying Josephus as the domestication type-case. The modern layer is instrumented by the archive itself: the Capture Registry's Provenance Erasure Rate operationalizes the deficit for retrieval systems, and the 2026 termination of the archive's hosted predecessor satisfies the active tuple in full. The thesis in testable form: the technology survived because it could survive unrecognized; what was suppressed was its legibility as technology. Four forward tests are specified, outcomes to be deposited with negatives included.