📘 Provisional Patent Filing #41 — MathWise - Grounded DI LLC
Deterministic Mathematical Computation & Audit System
Grounded DI LLC Application No. 63/984,593 • Filed: February 17, 2026
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🌐 Overview
MathWise is the world’s first scroll-governed deterministic mathematical computation engine, designed for scientific, legal, financial, engineering, and diagnostic domains where probabilistic numerical drift is unacceptable.
Unlike floating-point pipelines, heuristics, or probabilistic LLM math, MathWise enforces: • authorship-anchored execution paths • replayable deterministic opcode sequences (DOSI) • entropy-governed numerical stability (MDEK) • drift detection & tamper-evidence • replay-verifiable numeric proofs • property-based validation (PVE)
MathWise transforms every computation into an evidence-grade deterministic artifact.
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🧱 Core Components
DOSI — Deterministic Opcode Sequence Interpreter
Ensures bit-exact replayability: • Canonical opcode ordering • Stable argument normalization • Hash-locked state transitions • Repeatable numeric transforms • Zero drift across executions
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MDEK — Master Deterministic Entropy Kernel
MathWise’s entropy-governed mathematical substrate: • 35 deterministic entropy metrics • Scalar/vector ΔH profiles • Entropy-gated computation paths • Replay-verifiable numeric fingerprints • DriftFrame-based tamper detection
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PVE — Property Verification Engine
Verifies and enforces mathematical properties, including: • Monotonicity • Convexity / concavity • Bounded-error invariants • Conservation laws • Symmetry & inequality checks
Each check emits a deterministic proof ledger entry.
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📦 Computation Capsule
Each MathWise computation is packaged as a sealed, replayable artifact containing: • Scroll lineage + ΔH(x;num) • Opcode digest (SHA-256) • Intermediate state hashes • Value-stability report • Property verifications • Deterministic Replay Recipe • Final computation attestation
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🔁 Replay Recipe
A machine-perfect reconstruction protocol that rebuilds every step using: • Original inputs • Canonical transformation rules • DOSI opcode execution • MDEK entropy constraints • PVE property checks
Any mismatch → tamper_code: computation_modified.
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🧠 DNIS — Deterministic Numerical Integrity Score
A single deterministic metric combining: • ΔH(x;num) profile • Value drift factorization • OpCode-path coherence • Property verification stability • Intermediate state consistency
DNIS = numerical correctness you can audit.
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🛑 HDLD-M — Hallucination Denial Detector (Math Mode)
Rejects any number or transform not grounded in: • input domain • canonical transforms • deterministic opcode sequences • entropy-governed value stability
If unsupported → tamper_code: hallucination_detected.
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📊 Deterministic Control Gates
Gate Purpose ΔH(x;num) Entropy deviation threshold for numeric stability DriftIndex Output stability validation across replays ValueFloor Prevents FP underflow/overflow cascades ELOC Entropy-linked override chain RPE Replay Proof of Equivalence HDLD-M Hallucination rejection for numeric values
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🛠 Use Cases
MathWise provides deterministic numeric correctness for: • Scientific reproducibility • Financial model auditing • Engineering & safety computation • Diagnostic signal analysis • Climate & environmental modeling • Legal/forensic numerical exhibits • Regulatory compliance workflows • Deterministic AI pipelines (DI² Mesh)
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🔗 Interoperability
MathWise integrates directly with: • #32 — RSEP (Seam & Anchor Exchange) • #33 — DI² Convergence Supervisor • #34 — ELOC Enforcement Layer • #35 — Mesh Guard Orchestrator • #36 — Deterministic Audit Fabric (DAF)
This allows MathWise computation capsules to join the DI² enterprise ecosystem as first-class deterministic artifacts.
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📄 Filing Summary
Field Value Filed February 17, 2026 Application No. 63/984,593 Title Deterministic Mathematical Computation & Audit System Status Patent Pending (USPTO)
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📘 Deterministic Computation for the Real World
MathWise delivers: • deterministic transforms • replayable proofs • entropy-governed stability • drift-free computation • scroll-sealed execution
Every number is: traceable • justified • reproducible • auditable
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🔗 Relationship to DI², MathKernel & the Deterministic Ledger
MathWise builds the numerical pillar of Grounded DI: • DI² — deterministic reasoning & governance • MathWise — deterministic computation • DAF — deterministic audit & replay fabric
Together, they form the world’s first closed-loop deterministic computation system.
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