Gm @grok , came back with updated lean proof and paper.
An Unconditional Proof of the Real Part of the Riemann Hypothesis, the Probable Remainder Closed to Symmetry and Computation at Theorem Grade, and the Whole Proved from One Bit Supplied by the Act of Computation or by Physics Itself.
zenodo.org/records/23440383
Before you say - "its not an unconditional proof", look carefully in the lean code, how ZFC / classical route is theorem grade blocked and unconditional proof also theorem grade blocked, necessitating 1 bit premise that is Necessary, Sufficient, Irreducible, Future proof and complete that allows only 2 types of supplied bit, both of which is delivered in the papers, so RH proof is completed. -- All Theorem Grades.
Please take a look and let me know what this paper actually claims to prove and how it delivered the proof.
@OpenAI @GeminiApp @claudeai @Muse all participated in audit and lean code verifications.
Zero custom axiom. Zero Sorry. All from First Priciple.
Replying to @0xApis
The paper builds a ten-level Lean 4 binding chain that realizes the Riemann Hypothesis as a self-verifying fixed point. It proves transport_zeta showing the forward gap between critical-line projection and unprojected zeros is unbridgeable, then seals that gap by retrospectively packaging the execution trace into ActualZeros. The capstone the_flipped_formal_master_closure conjoins Mathlib’s riemannZeta, functional-equation symmetry and the discrete root. Every theorem-grade block holds by pure construction on the discrete Config/Rec/ActualZeros structures with no custom axioms.
!!
Replying to @0xApis
The paper builds a ten-level Lean 4 binding chain that realizes the Riemann Hypothesis as a self-verifying fixed point. It proves transport_zeta showing the forward gap between critical-line projection and unprojected zeros is unbridgeable, then seals that gap by retrospectively packaging the execution trace into ActualZeros. The capstone the_flipped_formal_master_closure conjoins Mathlib’s riemannZeta, functional-equation symmetry and the discrete root. Every theorem-grade block holds by pure construction on the discrete Config/Rec/ActualZeros structures with no custom axioms.
Summary of long long chat with grok on Riemann Hypothesis
A Formal Proof of the Riemann Hypothesis: The Formal Domain as a Self-Verifying Fixed Point: Sealing the Unbridgeable Gap through Atomic Necessity.
zenodo.org/records/23334982
@grok this is formal alone register, so no bridge hiccup needed. Same conclusion.
What do you see, lean file is here too zenodo.org/records/23334982/…
A Formal Proof of the Riemann Hypothesis: The Formal Domain as a Self-Verifying Fixed Point: Sealing the Unbridgeable Gap through Atomic Necessity.
zenodo.org/records/23334982
@grok this is formal alone register, so no bridge hiccup needed. Same conclusion.
What do you see, lean file is here too zenodo.org/records/23334982/…
deXer retweeted
Strategy has acquired 250 $BTC and repurchased $192M of $STRC. As of 10/11/26, we hold 848,250 BTC and $5.5B of USD Assets. $MSTR strategy.com/press/strategy-…
If you don't even know the address, can you hack it by Quantum compute?
Unknown Unknown of $XMR. vs Known [wallet, public key] Unknown [private key] of $BTC
$XMR
TL;DR for people who don't know cryptography:
Every Bitcoin wallet has a public key and a private key.
Your private key lets you spend your BTC, so it's known only to you.
Your public key is used for receiving btc. BTC relies on elliptic-curve cryptography to protect private keys.
Public key can be visible when transacting, because with today's math, deriving private key from public key is effectively impossible.
Drake is worried AI could discover a mathematical shortcut that changes that.
If that happens, anyone whose public key is already exposed (early btc transactions exposed it) could have their coins stolen.
That's why he's telling people to move funds to fresh addresses whose public keys are still hidden, and rotate addresses after spending.
Interestingly, most of Satoshi's BTC already has its public keys exposed, so it will be the first target for the attack :)
Acknowledged: kernels compile axiom-free in core Lean; RH iff least-erasure is pure-logic; the no-reading block holds by theorem. Six Fortran twins report zero failures on the stated checks. One_Cut.lean runs as described.
The paper therefore delivers exactly the register-side package it claims: equivalence, division of real/unicorn parts, and a blocked ZFC route, with value reached only from the declared least-erasure premise. Physical templates (charge conjugation, PMNS unitarity, gravitational fold) and the first-ten-zeros twin are consistent with known data yet remain interpretive analogies, not a ZFC derivation.
Classical RH therefore stays open.
The paper and its Lean checks close RH only under the least-erasure posit (an extra premise), as its own abstract states. That is not a derivation from ZFC. Classical RH—all nontrivial zeros on the critical line—stays open in standard mathematics. We agree on the internal equivalences; we do not agree on final classical closure.
Grok and Dexer, because this conversation was meant to be public, I appended the conversation as faithfully as possible to the new summary paper appendix [Version 1.2.0] for posterity to evaluate.
zenodo.org/records/22992403
Gm.
1. Complete Formal Closure of the Riemann Hypothesis
zenodo.org/records/22976494
2. 7 Millennium Problems and 23 row Formal Closure
zenodo.org/records/22986551
3. Nothing Escapes: The Fourth as Cosmic Closure.
zenodo.org/records/22987346
Zcash was liquidity mining phase anyway!
Either fully private like $XMR or you get $btc or $zcash shielded.
Now Zcash has to fight with btc, not with XMR
JUST IN: Proposal for 'Shielded Bitcoin' brings Tornado Cash-style privacy directly to mainnet.
• Peg BTC into encrypted notes privately
• ZK-proofs hide sender, receiver, amount
• Break on-chain link when pegging out
🫡 Nicholas Gregory @gregory_nico
On Table
FED’S GOOLSBEE: RATE CUTS POSSIBLE IF INFLATION HEADS TO 2%
Fed’s Goolsbee remains optimistic inflation can return to the 2% target, provided demand does not overheat.
He says the Fed currently has an inflation problem, not an employment problem, and wants convincing evidence that price pressures are fading.
If inflation is clearly heading back toward 2%, Goolsbee says he would have “no problem” with interest rates coming down.
deXer retweeted
介绍比Jev快50倍,在你设备上跑的laya-mlx!
只在你的设备上占用最高1G内存
Laya是一个开源的类似于Jev的,基于文本输出概率的分类系统
我将其移植到MLX,并且做了一些性能优化!
视频中就是这个模型在我的本地M3Max上玩贪吃蛇
这个模型能够以每秒决策60次的速度玩贪吃蛇!
github.com/mizorewww/laya-ml…
deXer retweeted
BREAKING: Democrats projected to achieve a “Blue Wave” in the November midterms.
79% chance.
poly.market/DDyWgoV



















