Skip to content

Add stable archive links for MI2026 certificates #103

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
463464q435q43 wants to merge 1 commit into
base: main
Choose a base branch
from
Open

Add stable archive links for MI2026 certificates #103

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
2 changes: 1 addition & 1 deletion constants/3a.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -37,6 +37,6 @@ $C_{3a} \geq 1 + \log( \lvert U-U \rvert /\lvert U+U \rvert )/\log(2 \max(U)+1)$
- [GGSWT2025] Georgiev, Bogdan; Gómez-Serrano, Javier; Tao, Terence; Wagner, Adam Zsolt. Mathematical exploration and discovery at scale. [arXiv:2511.02864](https://arxiv.org/abs/2511.02864)
- [G2025] Gerbicz, Robert. Sums and differences of sets (improvement over AlphaEvolve), 2025. [arXiv:2505.16105](https://arxiv.org/abs/2505.16105).
- [GHR2007] Gyarmati, Katalin; Hennecart, François; Ruzsa, Imre Z. Sums and differences of finite sets. Functiones et Approximatio Commentarii Mathematici, 37(1):175–186, 2007.
- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). Exact-count certificate for problem 3a, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/95) (2026).
- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). Exact-count certificate for problem 3a, [certificate archive](https://doi.org/10.5281/zenodo.20794135), [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/95) (2026).
- [Z2025] Zheng, Fan. Sums and differences of sets: a further improvement over AlphaEvolve, 2025. [arXiv:2506.01896](https://arxiv.org/abs/2506.01896).
- [G2026] Griego, Sebastian. Base-$21$ digit construction certificate for $C_{3a}$, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/71) (2026).
2 changes: 1 addition & 1 deletion constants/3b.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -41,6 +41,6 @@ $$ H(X-Y) \leq C_{3b} \max( H(X), H(Y), H(X+Y)).$$
- [GGSWT2025] Georgiev, Bogdan; Gómez-Serrano, Javier; Tao, Terence; Wagner, Adam Zsolt. Mathematical exploration and discovery at scale. [arXiv:2511.02864](https://arxiv.org/abs/2511.02864)
- [GR2019] Green, B.; Ruzsa, I. Z. On the arithmetic Kakeya conjecture of Katz and Tao. Periodica Mathematica Hungarica, Volume 78, Issue 1, pp 135–151 (2019). DOI: 10.1007/s10958-018-2003-3.
- [L2015] Lemm, Marius. New counterexamples for sums-differences. Proceedings of the American Mathematical Society, Vol. 143, No. 9 (SEPTEMBER 2015), pp. 3863-3868 (6 pages). DOI: 10.1090/proc/12731.
- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). 13-point entropy certificate for $C_{3b}$, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/92) (2026).
- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). 13-point entropy certificate for $C_{3b}$, [certificate archive](https://doi.org/10.5281/zenodo.20794135), [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/92) (2026).
- [KT1999] Katz, Nets Hawk; Tao, Terence. Bounds on arithmetic projections, and applications to the Kakeya conjecture. Math. Res. Lett. 6 (1999), no. 5-6, 625-630. DOI: 10.4310/MRL.1999.v6.n6.a3.
- [KT2002] Katz, N. H.; Tao, T. New bounds for Kakeya problems. J. Anal. Math. 87 (2002), 231–263. DOI: 10.1007/BF02792310.
2 changes: 1 addition & 1 deletion constants/3c.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -51,7 +51,7 @@ $$ H(X-Y) \leq C_{3c} \max( H(X), H(Y), H(X+Y), H(X+2Y)).$$ This entropy formula
- [GGSWT2025] Georgiev, Bogdan; Gómez-Serrano, Javier; Tao, Terence; Wagner, Adam Zsolt. Mathematical exploration and discovery at scale. [arXiv:2511.02864](https://arxiv.org/abs/2511.02864)
- [GR2019] Green, B.; Ruzsa, I. Z. On the arithmetic Kakeya conjecture of Katz and Tao. Periodica Mathematica Hungarica, Volume 78, Issue 1, pp 135–151 (2019). DOI: 10.1007/s10958-018-2003-3.
- [L2015] Lemm, Marius. New counterexamples for sums-differences. Proceedings of the American Mathematical Society, Vol. 143, No. 9 (SEPTEMBER 2015), pp. 3863-3868 (6 pages). DOI: 10.1090/proc/12731.
- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). 95-point entropy certificate for $C_{3c}$, [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/93) (2026).
- [MI2026] Mosaic Intelligence ([@111111](https://x.com/111111)). 95-point entropy certificate for $C_{3c}$, [certificate archive](https://doi.org/10.5281/zenodo.20794135), [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/93) (2026).
- [KT1999] Katz, Nets Hawk; Tao, Terence. Bounds on arithmetic projections, and applications to the Kakeya conjecture. Math. Res. Lett. 6 (1999), no. 5-6, 625-630. DOI: 10.4310/MRL.1999.v6.n6.a3.
- [KT2002] Katz, N. H.; Tao, T. New bounds for Kakeya problems. J. Anal. Math. 87 (2002), 231–263. DOI: 10.1007/BF02792310.

Expand Down
4 changes: 2 additions & 2 deletions constants/71a.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -98,9 +98,9 @@ $$
**loc:** arXiv PDF p. 15, Theorem 4.4
**quote:** "Any constant $C$ in Conjecture 1.1 satisfies $C\ge \beta(1/2)>6.4547837$, even when restricted to monotone functions."

- <a id="MI2026"></a>**[MI2026]** Mosaic Intelligence ([@111111](https://x.com/111111)). *An improved lower bound for the Fourier Entropy-Influence constant from explicit balanced functions.* [Submitted to this repository](https://github.com/teorth/optimizationproblems/pull/94) (2026).
- <a id="MI2026"></a>**[MI2026]** Mosaic Intelligence ([@111111](https://x.com/111111)). *An improved lower bound for the Fourier Entropy-Influence constant from explicit balanced functions.* [Certificate archive](https://doi.org/10.5281/zenodo.20794146), [submitted to this repository](https://github.com/teorth/optimizationproblems/pull/94) (2026).
- <a id="MI2026-bound"></a>**[MI2026-bound]**
**loc:** this pull request
**loc:** certificate archive and this pull request
**quote:** "C_71 > 6.4901128435233943 — and, by the same logic-monotone certificate, even restricted to monotone functions (full floor-truncated value 6.49011284352339435967722960726821776674269968263998854502375); certified by the replayable script below."

## Contribution notes
Expand Down