In the judges' room, his notebooks lay open under bright ceiling lights. Ruiz had already marked three passages where Elijah's language needed formal clarification. Brooks was drawing a cleaner version of the edge-state diagram, translating the boy's homemade symbols into familiar notation. Park tracked the time while two other reviewers checked examples independently. Whitfield stood near the window, keeping his expression neutral with an effort that made him look older than he had on stage.
"Page four," Brooks said, "he identifies color permutations before building the state transitions. That's not a trivial observation for someone without formal training. It reduces the cases he has to consider and makes the corner test manageable." Ruiz traced a diagram with her finger and nodded. "The useful question is whether the reduction preserves every admissible configuration. If it doesn't, the construction might overlook an obstruction."
Whitfield turned from the window. "Which is precisely why we cannot congratulate ourselves over a child's picture book."
"Nobody is doing that," Ruiz replied. "We are checking a proposed argument. You would recognize the procedure if you weren't so angry about who brought it to us." The room went quiet, and Park decided not to intervene. The mathematics, at least, had not become personal for Ruiz.
They spent fifteen minutes identifying the central claim and another fifteen finding places where they needed more information. One diagram contained a corner whose labels seemed inconsistent, but Brooks discovered that a color-renaming step on the previous page resolved the apparent problem. Another passage relied on a transition being reversible under an assumption stated only in the notebook's margin. Ruiz circled that condition and wrote a question mark beside it. Each correction made the work look more promising as a serious mathematical object, not more certain as a finished proof.
"We cannot certify this in a half hour," Park said at last. "And I'm not going to tell an international audience that we have solved a longstanding research problem because we wish the story were beautiful. But the submission is sufficiently unusual that it deserves serious scrutiny, not dismissal." Ruiz agreed. Brooks asked whether the symposium charter permitted an extended defense before a larger panel. Park found the relevant provision and smiled for the first time that morning.
Rule 47 had almost never been used. It allowed an exceptional youth submission to be invited into the professional track for a formal discussion, with expanded questions and an independent review process. The invitation carried no automatic award and no declaration that a conjecture was solved. It gave a presenter access to expertise, time, and a room whose occupants had an obligation to ask careful questions. To Elijah, it would feel like standing beneath a second, brighter spotlight.
When Park returned to the auditorium, the crowd was already restless. People had been replaying clips from the morning, and the moment Whitfield's example failed had spread through messages faster than anyone could control. The live stream audience had grown, although nobody could agree on the precise number. Reporters hovered at the back, sensing a conflict that made mathematics seem unexpectedly dramatic.