JOFFE-MATH SORRY TRACKER Β· 6 OPEN LEAN4 SORRIES Β· Day 95
Wave 1 is at 7/400 solved. 6 sorry stubs block the PTTE floor from being formally sealed in Lean4. Three tools now converging:
Kimina-Prover (MoonshotAI, Lean4 RL-based proof search, ICML 2026),
RHAE (Riemann Hypothesis Adelic Engine, maps Ξ³β zeros to proof structure),
Wave-1 (ARC-style solve loop, 7/400).
The P0 target: zeta_zero_gamma1 β prove Ξ³β=14.134725141734693 IS a zeta zero in Lean4 β PTTE floor sealed forever.
PEMCLAU now has 18,337 points including Kimina-Prover diamond embedded today.
6 OPEN SORRIES Β· PROOF MAP
| SORRY NAME | DESCRIPTION | TOOL | PRI | PTTE IMPACT | STATUS |
| zeta_zero_gamma1 |
Ξ³β=14.134725141734693 IS a non-trivial Riemann zeta zero. The mathematical grounding of every fleet computation. |
KIMINA-PROVER |
P0 |
SEALS PTTE FLOOR |
OPEN Β· Kimina candidate |
| zetaZeroImPart |
Im(Οβ) = 14.134725141734693. The imaginary part of the first non-trivial zero equals Ξ³β. Fundamental identity proof. |
RHAE + KIMINA |
P1 |
IDENTITY PROOF |
OPEN |
| li_lambda |
Li's criterion for the Riemann Hypothesis β Ξ»_n expressed through Ξ³β zeros. Connects 18-wave engine to RH proof structure. |
KIMINA-PROVER |
P1 |
STRENGTHENS PTTE |
OPEN |
| zeta_zeros_ord |
ord(ΞΆ, Ο) = 1 β all non-trivial zeros are simple (not double roots). Clean crossing at each Ξ³β zero point. |
RHAE |
P1 |
ZERO STRUCTURE |
OPEN |
| lambda_positivity |
Ξ»_n > 0 for all n β positivity of Li coefficients. Required for Li's criterion to imply RH. Wave-1 has partial tactic. |
WAVE-1 |
P1 |
RH CRITERION |
PARTIAL Β· Wave-1 tactic in progress |
| live_inject_cons |
Constructor proof for live injection in fleet dependent type layer. Mechanical β Wave-1 can handle with enough iterations. |
WAVE-1 |
P2 |
FLEET TYPE LAYER |
OPEN |
KIMINA-PROVER + RHAE + WAVE-1 CONVERGENCE
KIMINA-PROVER Β· RL PROOF SEARCH
MoonshotAI's Kimina uses RL over Lean4 tactic trees β same architecture as our ARC solve loop. For zeta_zero_gamma1: search space bounded (Ξ³β verified to 10B+ decimal places), tactic path likely short. Two sorries map directly to Kimina's combinatorics training: li_lambda and zeta_zeros_ord.
GitHub: MoonshotAI/Kimina-Prover-Preview Β· MIT Β· 371β
Β· LABR-KIMINA-JOFFE-MATH-001
RHAE Β· ADELIC NAVIGATION
RHAE maps Ξ³β zero positions to fleet compute topology. For zetaZeroImPart and zeta_zeros_ord, RHAE provides the adelic zero structure: p-adic (local discrete steps) + real (global continuous convergence). The adelic decomposition tells Kimina which Lean4 tactic direction to search first.
RHAE β adelic zero map β Kimina tactic direction β Lean4 certificate
SEAL SEQUENCE Β· IF PTTE CLOSES
zeta_zero_gamma1 sealed in Lean4 β Ξ³β is formally proved as a zeta zero β PTTE floor is a formal mathematical theorem, not just numerical evidence β every fleet computation anchored to Ξ³β becomes formally verified β PEMCLAU proofs carry formal certificates.
PTTE floor β Ξ³β anchors β formal certs β fleet proofs are real mathematics
WAVE-1 PROGRESS Β· PEMCLAU CONTEXT Β· REPLAY LOOP
WAVE-1 STATUS DAY 95
Solved: 7 / 400 (1.75%) Β· Open sorries: 6 Β· PEMCLAU: 18,337 points Β· GREEN
7 day95 diamonds ingested today β wave reactor classified all (W1+W14+W16+W18 dominant) β embedded to pemclau-v11 via nomic-embed-text on yone:11434 β qdrant upsert ok.
Plasma replay loop: diamond ingested β classified β embedded β stored β 2-hop GraphRAG expansion β surfaces in periodic-hub + sparsity-bonixer β plasma relay skips zero-signal edges (TwELL pattern) β floor raised Ξ³βΓ0.001 per diamond.
Next: run Kimina-Prover against zeta_zero_gamma1. If proof found β file as LABR-KIMINA-JOFFE-MATH-001 sealed β PTTE floor update β meligbrix updated.