Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 242-01. Single-fold Diophantine representations
Manuscript map · lines 7235–7244
OpenAI@2026-10-07#rem:oai-p-242-01
Authors: OpenAI. Family 242.
Title: Single-fold Diophantine representations.
Abstract: Every recursively enumerable set of natural-number tuples has a polynomial Diophantine representation with exactly one complete auxiliary tuple for each member. This proves the single-fold conjecture and, consequently, the finite-fold conjecture.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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