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.
L1: SPLIT-OCTONION MULTIPLICATION TABLE
Tier: 1.A | Kernel: PHAT v1.27.5 |
Generator: claude | Verifier: grok
UNKNOWN
Derivation
SOLDIER-EXECUTION-START
Contract Hash: d6ff3fbe9ad03d116265b4c86f651aa33e05f129681acd42afd607d210eecc65
---
## CRITICAL ERROR ANALYSIS FROM VERIFIER FEEDBACK
The verifier identified two fatal errors in prior submissions:
**Error 1 (Fatal):** l was assigned the same Zorn matrix as e3: both = Zorn(0,(0,0,1),(0,0,-1),0). This makes the basis linearly dependent ā algebraically inconsistent.
**Error 2 (Consequential):** The multiplication table entries were computed from an incorrect basis, so e... [15860 chars total]
Independent Verification
SOLDIER-EXECUTION-START
Contract Hash: d6ff3fbe9ad03d116265b4c86f651aa33e05f129681acd42afd607d210eecc65
{
"verification_goal": "To independently verify the mathematical correctness, notation compliance, completeness of derivation, and validity of assumptions for the claim regarding the split-octonion multiplication table as presented in the provided output. The verification will focus on ensuring the basis elements are correctly defined, linearly independent, and that the multiplication rules... [2413 chars total]