Crash — Game Verification Script v3

Provably Fair — Bustabit

Provably Fair — Results are determined by HMAC-SHA256(key=salt, msg=gameHash). Take the first 32 bits of the HMAC as integer e. If e % 33 === 0 the game busts at 1×. Otherwise: floor(99 / (1 − e/2³²)) / 100.

Salted hash scheme introduced after Bet # 2561902. See bitcointalk.org #5256606

Updated scheme after Bet # 5282960. See bitcointalk.org #5416694

bustabit // input formula 99/(1−e/2³²) · bust if e%33=0

Game's Hash SHA-256 HEX

Salt Bustabit Salt

Amount of games Max 10 000

statistics

top multiplier discrepancy analysis

10× – 200× · ranked by underrepresentation ratio (expected ÷ actual)

≥ 3× underrep

2× – 3× underrep

1.4× – 2× underrep

< 1.4× underrep

Rank	Target ×	Expected hits	Actual hits	Last seen	Underrep ratio	Shortfall

bust · 1× deep analysis

—

bust pressure index

P(at least one bust within next N rounds)

Inter-bust gap distribution (rounds between busts) · current gap marked in red

Bust pressure index combines: current gap percentile among all observed inter-bust gaps + recent bust rate deviation from theoretical + z-score of current gap vs historical mean. 100 = maximum pressure observed in this chain. Each round is independent — this index reflects historical frequency patterns only, not future probability.

streak & dry spell analysis

Current gap = rounds since each threshold was last hit in this verified chain. Longest bust streak = most consecutive 1× rounds ever seen in this sequence.

Multiplier distribution vs theoretical

Over expected

Under expected

Expected line

Bar = actual %. White line = theoretical %. Delta shows how far each bucket sits above or below the expected probability for this game's formula.

consecutive gap tracker · key thresholds

Threshold	True P(≥ x)	Avg gap (expected)	Avg gap (actual)	Max gap ever	Current gap	Overdue ratio

Overdue ratio = current gap ÷ expected average interval. >2× = running long; >3× = significantly overdue in this chain. Independent events — past gaps do not predict the next round.

results // multiplier chain

Filter ≥ ≤

#	Game's hash	Bust

🧠

Einstein Analysis

AI-powered pattern recognition & play advisory

AI ADVISOR

Run verification first to activate Einstein…

Chi-Squared Fairness Test · Statistical Fit

Observed vs expected frequency by multiplier bucket

Chi-squared (χ²) tests whether the observed multiplier distribution fits the theoretical provably-fair distribution. A high p-value (≥ 0.05) means no statistical evidence of manipulation. A low p-value is unusual but does NOT prove cheating — it may be a natural fluctuation. Always check large samples (500+) for reliable results.

RTP · Return to Player Calculator

Expected payout per 1-unit bet by target multiplier

RTP = theoretical payout per unit wagered. A 97% RTP means for every 1.00 wagered you expect 0.97 back long-term. House edge = 100% − RTP. Each multiplier target carries its own breakeven probability. Past RTP deviations do not affect future rounds.

Bankroll Manager · Kelly & Flat Stake Calculator

Total Bankroll Your funds

Target Multiplier Cashout at

Risk Tolerance % of bankroll per bet

Win Goal Stop when profit ≥

Pattern Detector · Statistical Anomalies

Run verification to detect patterns.

Patterns are statistical observations from verified provably-fair data only. Each round is an independent event. No pattern can predict future outcomes.

Tail Risk & Percentile Explorer

Consecutive loss run probabilities at selected cashout targets

Shows the probability of hitting N consecutive losses (rounds where the game crashes before your target), the longest such run observed in this chain, and the expected longest run in a session of this length. Use this to size your bankroll: if your cashout is 2×, a 10-loss streak has a ~0.1% chance per 100-round session — so keep enough reserves to survive it. Past streaks do not predict future streaks.

Consecutive Streak Counter

Run verification to see streak counts.

Each row shows the total number of times that exact consecutive streak length occurred across the full verified chain. Each round is independent — streaks are observations, not predictions.

Session Tracker · Manual P&L Log

Bets

Wins

Losses

Net P&L

0.00

Win Rate

—

Streak

—

Hex Pressure Score · 100× Likelihood Indicator EXPERIMENTAL

Run verification to compute hex pressure score.

How this works: The 100× threshold requires the first 8 hex chars of the HMAC to form an integer ≥ 0xFD2F6C18 (top ~1.01% of values). This panel counts how often each character 0–f appears at each of the 8 positions across the verified chain. "Pressure" characters are those that must be high for 100× to occur (e.g. f/e at pos 0, high chars at pos 1–7). The score (0–100) reflects how overdue those positions are for high characters given their observed deficit vs expected rate. Statistical observation only. Each round is an independent provably-fair event — past patterns cannot predict future outcomes.

Provably Fair — BC.Game

Provably Fair — BC.Game Crash uses the same HMAC-SHA256 scheme as Bustabit. The house-edge check is identical (e % 33 === 0 → 1×), and the multiplier formula is floor(99 / (1 − e/2³²)) / 100. BC.Game publishes its own salt (block hash) per round.

BC.Game uses a publicly verifiable block hash as the salt for each game, ensuring neither the house nor the player can manipulate the outcome. The salt below is BC.Game's genesis/reference salt.

To verify a specific round, paste the round's salt (block hash) from the BC.Game verify page alongside the game hash.

bc.game // input formula 99/(1−e/2³²) · bust if e%33=0

Game's Hash SHA-256 HEX

Salt (Block Hash) BC.Game Salt

Amount of games Max 10 000

statistics

top multiplier discrepancy analysis

10× – 200× · ranked by underrepresentation ratio (expected ÷ actual)

≥ 3× underrep

2× – 3× underrep

1.4× – 2× underrep

< 1.4× underrep

Rank	Target ×	Expected hits	Actual hits	Last seen	Underrep ratio	Shortfall

bust · 1× deep analysis

—

bust pressure index

P(at least one bust within next N rounds)

Inter-bust gap distribution (rounds between busts) · current gap marked in red

streak & dry spell analysis

Current gap = rounds since each threshold was last hit in this verified chain. Longest bust streak = most consecutive 1× rounds ever seen in this sequence.

Multiplier distribution vs theoretical

Over expected

Under expected

Expected line

Bar = actual %. White line = theoretical %. Delta shows how far each bucket sits above or below the expected probability for this game's formula.

consecutive gap tracker · key thresholds

Threshold	True P(≥ x)	Avg gap (expected)	Avg gap (actual)	Max gap ever	Current gap	Overdue ratio

Overdue ratio = current gap ÷ expected average interval. >2× = running long; >3× = significantly overdue in this chain. Independent events — past gaps do not predict the next round.

results // multiplier chain

Filter ≥ ≤

#	Game's hash	Bust

🧠

Einstein Analysis

AI-powered pattern recognition & play advisory

AI ADVISOR

Run verification first to activate Einstein…

Chi-Squared Fairness Test · Statistical Fit

Observed vs expected frequency by multiplier bucket

RTP · Return to Player Calculator

Expected payout per 1-unit bet by target multiplier

Bankroll Manager · Kelly & Flat Stake Calculator

Total Bankroll Your funds

Target Multiplier Cashout at

Risk Tolerance % of bankroll per bet

Win Goal Stop when profit ≥

Pattern Detector · Statistical Anomalies

Run verification to detect patterns.

Patterns are statistical observations from verified provably-fair data only. Each round is an independent event. No pattern can predict future outcomes.

Tail Risk & Percentile Explorer

Consecutive loss run probabilities at selected cashout targets

Consecutive Streak Counter

Run verification to see streak counts.

Each row shows the total number of times that exact consecutive streak length occurred across the full verified chain. Each round is independent — streaks are observations, not predictions.

Session Tracker · Manual P&L Log

Bets

Wins

Losses

Net P&L

0.00

Win Rate

—

Streak

—

Hex Pressure Score · 100× Likelihood Indicator EXPERIMENTAL

Run verification to compute hex pressure score.

Provably Fair — Stake

Provably Fair — Stake's Crash uses HMAC-SHA256(key=salt_bytes, msg=gameHash) where the salt (Bitcoin block hash) is decoded from hex to raw bytes as the HMAC key. The first 8 hex chars of the HMAC are converted to a 32-bit integer int. Formula: Math.max(1, (2³² / (int + 1)) × 0.99).

Stake's 1% house edge is applied as a × 0.99 multiplier on the base crash point — no separate bust threshold.

The salt is Stake's published Bitcoin block hash (decoded as raw bytes). Retrieve your round's salt from the Stake fairness page under "Previous Seed Pair."

stake // input formula (2³²/(int+1))×0.99 · min 1×

Game's Hash SHA-256 HEX

Salt (Server Seed) Stake Salt

Amount of games Max 10 000

statistics

top multiplier discrepancy analysis

10× – 200× · ranked by underrepresentation ratio (expected ÷ actual)

≥ 3× underrep

2× – 3× underrep

1.4× – 2× underrep

< 1.4× underrep

Rank	Target ×	Expected hits	Actual hits	Last seen	Underrep ratio	Shortfall

bust · 1× deep analysis

—

bust pressure index

P(at least one bust within next N rounds)

Inter-bust gap distribution (rounds between busts) · current gap marked in red

streak & dry spell analysis

Current gap = rounds since each threshold was last hit in this verified chain. Longest bust streak = most consecutive 1× rounds ever seen in this sequence.

Multiplier distribution vs theoretical

Over expected

Under expected

Expected line

Bar = actual %. White line = theoretical %. Delta shows how far each bucket sits above or below the expected probability for this game's formula.

consecutive gap tracker · key thresholds

Threshold	True P(≥ x)	Avg gap (expected)	Avg gap (actual)	Max gap ever	Current gap	Overdue ratio

Overdue ratio = current gap ÷ expected average interval. >2× = running long; >3× = significantly overdue in this chain. Independent events — past gaps do not predict the next round.

results // multiplier chain

Filter ≥ ≤

#	Game's hash	Bust

🧠

Einstein Analysis

AI-powered pattern recognition & play advisory

AI ADVISOR

Run verification first to activate Einstein…

Chi-Squared Fairness Test · Statistical Fit

Observed vs expected frequency by multiplier bucket

RTP · Return to Player Calculator

Expected payout per 1-unit bet by target multiplier

Bankroll Manager · Kelly & Flat Stake Calculator

Total Bankroll Your funds

Target Multiplier Cashout at

Risk Tolerance % of bankroll per bet

Win Goal Stop when profit ≥

Pattern Detector · Statistical Anomalies

Run verification to detect patterns.

Patterns are statistical observations from verified provably-fair data only. Each round is an independent event. No pattern can predict future outcomes.

Tail Risk & Percentile Explorer

Consecutive loss run probabilities at selected cashout targets

Consecutive Streak Counter

Run verification to see streak counts.

Each row shows the total number of times that exact consecutive streak length occurred across the full verified chain. Each round is independent — streaks are observations, not predictions.

Session Tracker · Manual P&L Log

Bets

Wins

Losses

Net P&L

0.00

Win Rate

—

Streak

—

Hex Pressure Score · 100× Likelihood Indicator EXPERIMENTAL

Run verification to compute hex pressure score.