There is new thread for Polymath5. Also the paper “Density Hales-Jewett and Moser numbers” has been submitted to the arXiv. It has been submitted to the Szemeredi birthday conference proceedings. There is time for minor corrections till the final submission in April. I think there is one question still open about the bibliography of the paper.
Let me update this there is a new thread for Polymath5. Let me update further there is a new version of the paper “A new proof of the density Hales-Jewett theorem”. There is a thread discussing the new version here. The paper has now been submitted.