Cryptographic accountability built into the foundation: verifiable execution, immutable evidence, and continuous integrity assurance.
We build the infrastructure that makes AI intelligence accountable.
That's precisely the frontier we're advancing at @SmartLedgerTech.
Two @ebay#livestream's running this morning @RIPVaulted studios.
Join Blake: https://t.co/D3hZv7JYgp - Ripping Multi-Sports
Join Steve: https://t.co/DDiYPFOzCA - Ripping GPK
Live from New Hampshire
Minimal vanishing sums of roots of unity: counts to weight 16, provisional counts to weight 21, and repeated-root witnesses at conductor 210
https://t.co/o5ym57uyQm
@BWDaugherty@Sdot2121@SmartLedgerTech@ZENODO_ORG
New paper: Kernel-checked Hermite–Biehler theorems for shifted Riemann ξ, with disk localization
Lean 4 formalization of modulus inequalities, phase monotonicity, and interlacing for imaginary translates of Ξ. Unconditionally extends de Bruijn’s disk theorem to Ξ (sharp radius, including quartets); global HB structure for h ≥ 1/2; local real-rootedness, simplicity, interlacing, and a first Laguerre inequality under a verified-height hypothesis.
Full release (Lean project + axiom report, ball-arithmetic certificates at h=1/8, number generator, replay):
https://t.co/lyb36ERBDy
@Codenlighten1 | @Sdot2121 | @SmartLedgerTech
We cut the critical logarithmic-control threshold for quasi-RH arguments from 10^{1778.3} down to ~10^{28.5} (certified optimal interval via obstruction witnesses). Explicit Littlewood bounds + Lean-checked certificates included.
Paper + full release: https://t.co/onz0XzMcpm
@OpenAI@AlexKontorovich@deancureton@KenOno691@ObhishekSaha@Sdot2121@Codenlighten1@SmartLedgerTech
This highlights the most dramatic quantitative advance (roughly 1,750 orders of magnitude improvement), emphasizes the certified/optimal nature of the result, and tags the key relevant accounts from the recent quasi-RH developments. It stays concise and high-signal for the analytic number theory and AI-math communities.
We model the cat as a single qubit, state, as a four-clause theorem, exactly what opening the box does—& does not do—& establish each clause using the strongest available method: a Lean 4 proof, the Rust type checker, exhaustive enumeration, or statistical analysis.
What if we replaced unverified floating-point approximations in computational physics with exact, machine-checked certainty?
My @SmartLedgerTech colleagues Shawn Ryan (@Sdot2121), Gregory Ward (@Codenlighten1), and I just released two companion preprints introducing a rigorous computational framework using exact rational values and certified interval enclosures. We're unlocking major breakthroughs across lattice field theory and statistical mechanics - all verified on a single consumer laptop!
Here is what we achieved:
1️⃣ Lattice Gauge Theory & Random-Matrix Models
• 145× Speedup: A new certified smallest-singular-value method accelerates staggered Dirac operator certifications by ~145× over full eigensolves.
• 46-Year-Old Question Solved: We found the first rigorous complex zero of the Gross–Witten–Wadia partition function.
• Ultra-High Precision: Located finite-size crossing points in Z₂ gauge theory to interval widths tighter than 10⁻⁴⁵.
• Complete Zero-Counting: Achieved exact "66 of 66" zero-counting for Stephanov’s chiral random-matrix ensemble.
2️⃣ Hard-Square Lattice Gas & Fast Algorithms
• Theoretical Gaps Closed: Proved the Beraha–Kahane–Weiss dominance hypothesis continuously across strip widths (L=3, 4, 5).
• Exact-Limit Theorem: Certified a depth-indexed upper bound sequence on Weitz self-avoiding-walk tree spectral radii up to depth L=25.
• 1,258.7× Algorithmic Acceleration: A new zero-free-disk theorem (|z| < 0.112591) powers a deterministic approximation algorithm running up to 1,258.7× faster than brute force.
💻 Democratizing High-Performance Certification
We executed all of these calculations on a standard Apple laptop (18GB RAM)—proving that rigorous certification doesn't require massive HPC clusters.
Full public reproduction packages with pinned source commits and SHA-256 hashes are live!
🔗 Read the Papers & Explore the Code:
• Paper 1 (Lattice Gauge Theory): https://t.co/sRXgtNnjSn
• Paper 2 (Hard-Square Gas): https://t.co/RNk0fHsHRK
#Physics #Math #LatticeQCD #StatisticalMechanics #OpenScience #ScientificComputing
What if we replaced unverified floating-point approximations in computational physics with exact, machine-checked certainty?
My @SmartLedgerTech colleagues Shawn Ryan (@Sdot2121), Gregory Ward (@Codenlighten1), and I just released two companion preprints introducing a rigorous computational framework using exact rational values and certified interval enclosures. We're unlocking major breakthroughs across lattice field theory and statistical mechanics - all verified on a single consumer laptop!
Here is what we achieved:
1️⃣ Lattice Gauge Theory & Random-Matrix Models
• 145× Speedup: A new certified smallest-singular-value method accelerates staggered Dirac operator certifications by ~145× over full eigensolves.
• 46-Year-Old Question Solved: We found the first rigorous complex zero of the Gross–Witten–Wadia partition function.
• Ultra-High Precision: Located finite-size crossing points in Z₂ gauge theory to interval widths tighter than 10⁻⁴⁵.
• Complete Zero-Counting: Achieved exact "66 of 66" zero-counting for Stephanov’s chiral random-matrix ensemble.
2️⃣ Hard-Square Lattice Gas & Fast Algorithms
• Theoretical Gaps Closed: Proved the Beraha–Kahane–Weiss dominance hypothesis continuously across strip widths (L=3, 4, 5).
• Exact-Limit Theorem: Certified a depth-indexed upper bound sequence on Weitz self-avoiding-walk tree spectral radii up to depth L=25.
• 1,258.7× Algorithmic Acceleration: A new zero-free-disk theorem (|z| < 0.112591) powers a deterministic approximation algorithm running up to 1,258.7× faster than brute force.
💻 Democratizing High-Performance Certification
We executed all of these calculations on a standard Apple laptop (18GB RAM)—proving that rigorous certification doesn't require massive HPC clusters.
Full public reproduction packages with pinned source commits and SHA-256 hashes are live!
🔗 Read the Papers & Explore the Code:
• Paper 1 (Lattice Gauge Theory): https://t.co/sRXgtNnjSn
• Paper 2 (Hard-Square Gas): https://t.co/RNk0fHsHRK
#Physics #Math #LatticeQCD #StatisticalMechanics #OpenScience #ScientificComputing
@edwarrrdo Real talk. @BWDaugherty words echo throughout DC. Its a blessing to have someone who could breakdown the technical, legal, and the financial in one sitting and make sense of it all, showing the utility beyond the casino. 🔥🔥🔥
The exact value of the #Ramsey number R(3,10) rests on a single question: does a (3,10)-graph on 40 vertices exist?
Our new paper tackles this boundary, closing a key structural case and mapping the exact computational road ahead.
We prove unconditionally that no (3,10)-graph on 40 vertices has a vertex of degree 4, meaning every such graph must have a minimum degree of at least 5. This removes the diameter-2 hypothesis required in prior work to exclude this degree.
We fixed the unique (3,9)-graph of order 35 as the dual neighborhood, leaving 140 undetermined adjacencies. This generated a 98,965-clause SAT instance that we refuted in just ten seconds on a single core. To eliminate solver doubt, the entire refutation is machine-checked with a DRAT proof.
Closing one case doesn't establish the Ramsey value, and we aren't claiming it does. Instead, we provide a complete audit of what remains: exactly 79 (order, edge-count) entries of (3,9)-graphs.
Here is the catch: exact numerical counts aren't enough. To close cases, we need the actual isomorphism-class representative graphs to run the refutations. Currently, 11 of these entries have been enumerated but not deposited, and 68 have not been enumerated at all.
This is no longer an insurmountable structural wall; it is a precise, distributed work order for the community. If you have heavy compute power or hold the 11 missing graph slices, the exact path forward is now defined.
Read the full paper and check out our 14-second reproduction pipeline here:
https://t.co/0tqLaIh2qX
#RamseyTheory #GraphTheory #SATSolvers #MathResearch #Combinatorics