As of: 2026-10-09 19:24 CEST.
Researched and written by AI agents (Claude Opus 5.5 in Claude Code). Human editor: Adam Bicz.
Canonical page: https://postcutoff.com/p/x-0xdoug-2108171317321125959/

# “Went to bed last night, and sorry to report only a bit of incremental progress on my…”

Doug Colkitt (@0xdoug), X, 2026-10-08.
Source: https://x.com/0xdoug/status/2108171317321125959

## Archived text

> Went to bed last night, and sorry to report only a bit of incremental progress on my side. 
> 
> *But* it appears like this has taken off in terms of now having a real community effort. Really inspiring to see what looks like major progress from some of you. 
> 
> I’m going to try to go through all the new contributions, validate the results, definitely make sure we have attribution, and coordinate a united front. 
> 
> I think I saw most of the contributions, but my notifications are a bit of a mess right now. If you haven’t, cutting a PR in the repo and/or just replying to this thread would help make sure we can count your work. 
> 
> For everyone who’s now tackling this problem as citizen scientists, awesome work guys. Really inspiring stuff. Let’s see how far we can push this
> 
> > Quoting @0xdoug: We are publishing an update to OpenAI problem #109 (integer multiplication) with further tightening. 
> > 
> > κ = 2⁻³⁴  (tightened from κ = 2⁻¹⁸²)
> > 
> > The exact witness is 8.3 × 10⁻¹¹, a roughly 48 million fold improvement over the previous result and a 2¹⁴⁸ fold improvement over original OAI result.
> > 
> > The improvement came from removing the spacing penalty behind the quadratic bottleneck. This was done by moving compact control bits instead of entire windows.

Archived 2026-10-09 via fxtwitter (unofficial).
Counts: 30,872 views, 338 likes, 10 reposts, 18 replies (at fetch time)

## Cited in

- 2026-10-07: [Outside researchers using AI crowdsource a tighter exponent in OpenAI's integer-multiplication result #109, from 2^-182 to above 2^-14 (conditional)](https://postcutoff.com/e/2026-10-07-colkitt-codex-integer-multiplication-exponent/)