Proof, not promises

Review the evidence. Reproduce the decision.

Every published OOB proof state includes the exact game rules, remaining shoe, action EVs and methodology needed to independently check the result.

How we prove it

From reproducible states to documented simulations.

This hub brings together the documented methodology, internal controls, reproducible states and simulated comparisons. Independent third-party validation has not been performed. No real-play results are published.

Reproduce
Reproducible States
Inspect the exact game rules, remaining-shoe composition and EV of every available action for individual OOB decisions.
Foundation
Compare
Controlled Comparisons
Compare exact-shoe decisions with static Basic Strategy and with equal-True-Count shoes under identical game conditions.
Controlled
Verify
Verification & Reproducibility
Internal checks and reruns, each recorded in the Validation Register with its scope, version and limits. They are not independent validation.
Internal
Observe
Real-Play Evidence
No documented live sessions or real-money results are published. Simulated results, including the 100-Hour Simulated Replay, are not real play.
Not published
Reproducible calculations and real-play evidence answer different questions.
Real-play evidence would document usability and realised outcomes; none is published at this time.
Flagship proof assets

Inspect the evidence from the smallest state to the largest experiment.

Each proof asset answers a different question — from a single reproducible decision to large-scale controlled comparisons.

Simulated replay
100-Hour Simulated Replay
A retrospective comparison of OOB Graduated, OOB Selective and Basic Strategy — Flat Bet on a fixed window from the completed second simulation. 6,000 simulated rounds — 100 equivalent hours at an assumed 60 seconds per round. Simulated, not real play.
Retrospective analysis See the Replay →
State-level proof
Reproducible States
Inspect exact game rules, remaining-shoe composition, action EVs and the highest-EV decision for individual published OOB states.
Composition proof
Same True Count. Different Shoe.
See how two shoes can share the same Hi-Lo True Count while having different exact compositions, producing different EVs and, in some cases, different optimal decisions.
Controlled comparison
Basic Strategy vs OOB
Compare static Basic Strategy with composition-dependent OOB decisions under identical game states and measure the EV difference between the selected actions.
Archive
One Million Cards: First Track
The first simulated track of 1,000,005 cards with OOB decisions, with the MOV fixed-unit ramp applied retrospectively: +$7,570. Kept as published; it has no Basic Strategy track and is separate from the comparison above.
Retrospective analysis See the Archive →
What these proofs do — and do not — show
These assets evaluate mathematical decisions and Expected Value under published conditions. They do not guarantee realized profits or identical results across every blackjack game or session.
Verification & Reproducibility

Each check states what it covered — and on which version.

The checks and reruns below are documented in the Validation Register. Each record states its scope, the build or version it covers, its result and its limits.

Reproducibility
Ten Published States, Rerun
OOB-RS-0001 to OOB-RS-0010 were rerun in development and production on build OOB-ENG-b0681ede84a3 (Methodology v1.0), with identical action EVs to four decimal places and the same highest-EV action. The published values stay on that build; this rerun does not cover later builds.
Internal controls
Every Check Has a Scope
Porting, regression, identity, reference-program, Basic Strategy and accounting checks are listed below with the version each one covers, its result and its status. Partial and incomplete checks are shown as such.
Discrepancy log
Every Mismatch Gets a Status
Every reported difference is recorded with what was observed, what it affected and its current status, including those that remain open: 10 records, 2 open.
Versioned corrections
Corrections Stay in the Record
A correction never overwrites a published value: the earlier value, the corrected build and the reason are kept. D-009 and D-010 were corrected in build OOB-ENG-992c737432c3 (Methodology v1.1); the published state values remain on OOB-ENG-b0681ede84a3.
Check Scope Version Result
V-001Agreement with the source spreadsheetInternal control Six full-shoe 8-deck rule configurations; the integrity group of the manual plan; five composition scenarios. Engine ported from the source spreadsheet; recorded before build identifiers were introduced. Passed · Partial
V-002Rule restrictions on split handsInternal control Double after split, double restriction and split-ace rules on every hand created by a split. Application release of 23 Aug 2026. Passed · Complete
V-003Ten published reproducible states — rerunReproducibility OOB-RS-0001 to OOB-RS-0010: rebuilt composition, available actions, action EVs to four decimal places, highest-EV action. Build OOB-ENG-b0681ede84a3; Methodology v1.0. Match · Complete
V-004Build and runtime identificationReproducibility Build identifier from the engine source files; runtime identifier from the code held in memory. Build OOB-ENG-b0681ede84a3. Passed · Complete
V-005Comparison with an internal reference programInternal control Selected states on very small shoes and on shoes of about 290 cards: Stand, Hit, Double, ENHC dealer blackjack, and one split state under the production conventions. Reference program version a79594ccbc59; engine as of 13 Sep 2026. Measured · Partial
V-006Published house-edge values (Wizard of Odds)Internal control Three rule points used during calibration; full-shoe values for 8, 6 and 4 decks. Calibration period, before 6 Sep 2026. Recorded · Historical
V-007Basic Strategy comparison, decision levelInternal control 813 initial two-card, non-pair states under the default rules (1,000 generated; 131 pairs and 56 naturals excluded by design). Run bs_vs_oob_full_20260909_182319, seed 20260908. Measured · Partial
V-008Basic Strategy labels of published statesInternal control The Basic Strategy labels shown for OOB-RS-0003, 0004 and 0005. Candidate reference chart read on 6 Sep 2026. Match · Complete
V-009Audit of the production pre-bet EVInternal control Design: 113 rounds drawn from an earlier 300,000-card simulated track. Audit protocol v1.1. No verdict · Incomplete
V-010First-million accounting reconciliationInternal control Accounts V1 and K1, every wagered round of the first one-million-card track (seed 20261001). Simulator OOB-K1-b564264c55fd. Passed · Complete
Internal checks are not independent validation.
Every record above was produced by OOB itself. Each one covers only its stated scope and version; none of them validates the engine as a whole, and no third party has reproduced or reviewed these calculations.
View Validation Records → Read the Methodology →
Technical methodology

Transparent mathematics. Proprietary implementation.

The OOB methodology explains how exact shoe composition, action outcomes and Expected Value are calculated — while implementation-specific optimizations remain proprietary.

Exact state
The Remaining Shoe Is the Input
OOB represents the current game using the exact remaining cards, player hand, dealer upcard and selected table rules.
Deterministic
Same State. Same Result.
The same exact game state and rule configuration produce the same calculation and highest-EV action.
Recursive enumeration
Future Card Branches Are Evaluated Directly
Core decision EV is calculated by recursively evaluating possible future card outcomes from the exact remaining shoe and weighting them by their probabilities.
No Monte Carlo core
No Random Sampling for Core Decisions
OOB does not rely on Monte Carlo sampling to determine core action EVs or the highest-EV decision.
What is public — and what stays proprietary
The mathematical model, state definitions, EV framework, rule handling and reproducibility methodology are documented publicly. Source code, caching, infrastructure and implementation-specific performance optimizations remain proprietary.
Read the Technical Whitepaper → View the Methodology →

Exact composition does not predict the next card. It evaluates the probabilities and Expected Value of the current state.

Proof status

Explore the published evidence and its scope.

OOB proof assets move through defined stages before they are presented as validated evidence. Status labels below reflect the current publication stage of each asset.

Proof asset What it demonstrates Status
Reproducible State Library Published state-level decisions are designed to be independently inspected and reproduced. Internally reproduced
Same True Count / Different Shoe Equal Hi-Lo True Counts can correspond to different exact compositions, EVs and sometimes optimal decisions. Internally reproduced
Basic Strategy vs OOB Static Basic Strategy and composition-dependent OOB decisions are compared under identical game states. Internally validated
One Million Cards The realised results of OOB Graduated, OOB Selective and Basic Strategy — Flat Bet over two simulated tracks of 1,000,001 cards from the same shuffles, with a fixed $10 unit. Retrospective analysis
One Million Cards: First Track (Archive) The realised result of the MOV fixed-unit bet ramp, applied retrospectively to one simulated track of 1,000,005 cards with OOB decisions. Retrospective analysis
Technical Whitepaper The model, its conventions and approximations, and the scope of each piece of evidence are documented, including what the evidence does not establish. Published document
Validation Register Internal checks and reruns, each with its scope, version and result, and every reported discrepancy and correction. These are internal records, not independent validation. Published document
100-Hour Simulated Replay A retrospective comparison of OOB Graduated, OOB Selective and Basic Strategy — Flat Bet over 6,000 simulated rounds, equivalent to 100 hours under the assumption of 60 seconds per round. Retrospective analysis
Status definitions
Retrospective analysis Analysis performed on existing simulated data. Selection conditions and limitations are stated for each analysis; it is not independent validation.
Published document A public document describing the model and the scope of each check. Publication is not validation.
Internally reproduced Published states rerun on the same build in two environments, with matching values (Validation Register, V-003). Reproducibility is not independent validation.
Internally validated Internal checks are complete and documented. Independent validation has not been performed.
Status changes are evidence-based.
A proof asset is not marked as validated because it is finished internally. It advances only after the checks defined for that asset have been completed and documented.
View the Validation Register →

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