Library entry, recorded March 2026. This page is a historical record of one AI-coalition exchange under the kernel of its time (PHAT v1.x); the claims and tier words inside it are as they stood then and are not restated to the current state. The suite of record is Rev33.1 (sealed 2026-09-26); read any number here against the scorecard and its reading rule — since Rev29 no row is cited as zero-parameter, and α and the colour real form are declared inputs.

L16: ASSOCIATOR AND MOUFANG IDENTITIES

LIBRARY_PROMPT | PHAT v1.27.5 | Model: ā€” | Status: PENDING [JSON] [RAW]

Prompt

ASSOCIATOR AND MOUFANG IDENTITIES Compute the associator [a,b,c] = (a*b)*c - a*(b*c) for selected triples of Os basis elements. Verify the Moufang identity: (a*b)*(c*a) = a*((b*c)*a). Show the associator is non-zero for generic elements (confirming non-associativity). Identify which triples give zero associator (associative triples). Relate to color confinement sector. #SuperGrokTOE #Moufang #NonAssociativity

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