POLYMARKET · PREDICTION MARKET · MOJTABA KHAMENEI PUBLIC APPEARANCE BY...?

Mojtaba Khamenei seen in public by July 31?

YES · live
29.5¢
NO · live
70.5¢

▸ Advanced metrics · M2M bundle

polymarket · mojtaba-khamenei-seen-in-public-by-july-31 · fresh · feed 13s old
24h sparkline · 60 pts
realized vol (ann.)
453.13%
max drawdown
31.33%
sharpe
ulcer index
15.91%
RMS drawdown
pain index
10.76%
mean drawdown
mod. VaR 95%
0.00%
Cornish-Fisher
martin ratio
ret / ulcer
CDaR 95%
30.52%
cond. drawdown
gain/pain
1.22
Σgain / Σ|loss|
sterling
ret / CDaR
omega (θ=0)
1.22
upside/downside
roll spread
1.5 bps
implied (price-only)
bars used
2000
store
spread
24h Δ
flow lean
carry
flat
signalNEUTRALconfidence 20%
Same bundle via M2M API: /api/m2m/pm-mojtaba-khamenei-seen-in-public-by-july-31/bundle · venue execution: polymarket
LIVEPOLL0SRCWARMING13.3s--:--:-- UTC8NEXT8.0sUP0s--:--HIST0/30
▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC WARMING·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·▶ STREAMING·HYPERLIQUID·POLYMARKET·0 POLLS·SRC WARMING·UPTIME 0s·NEXT POLL 8.0s·CC0 OPEN DATA·HYPO.MARKETS·
YES · live
29.5¢
NO · live
70.5¢
YES price · live 24h
n=25 · μ=0.2440 · σ=0.0625 · range [0.1450, 0.3850] · R²=0.699 RISING +46.15%σ EXTREME 25.63%LAST 0.28500.38500.32500.26500.20500.1450μ = 0.2440max 0.3850min 0.1450dataMA(5)OLS R²=0.70μ lineμ ± σ bandmaxminlive endpoint
25 ticks · last 28.50¢
YES / NO split · live
YES 29.5%NO 70.5%NO70.5%70.50¢ · odds 1/1.42
Σ 100.00% · fair
Σ-sides total = 100.00% (tight rounding)
H(p) entropy = 0.875 / 1.00 bits (88%) · high uncertainty
YES
29.5%29.5¢3.39× +0.00pp
NO
70.5%70.5¢1.42× +0.00pp
Σ 100.00% · arb gap 0.00pp
Per-tick activity · |Δp| in basis points · live
n=24 · Σ=4,400 · μ=183.3 · σ=291.8 · CV=1.59BURSTY · concentratedcumulative energy ↗ · 50% by h=1803256509751,300μ = 1831,30050%h1h5h9h13h17h21#1 peak#2-3> μactivequietμ linecum energy
Σ 4400bp moved · peak 1300bp · n=24 ticks
Live numerics · pulse on poll
LIVE NUMERICS8 metrics·POLL 0
snapshot age
13.3s
YES mid
29.50¢ (29.50%)
NO mid
70.50¢ (70.50%)
ΣΣ sides
100.00%
arb gap
0.000pp
$24h vol $
$26.2k
liquidity $
$27.3k
history points
25 ticks (live)

§1 · 24h price history (YES + NO tokens)

YES price · CLOB mid
n=25 · μ=0.2440 · σ=0.0625 · range [0.1450, 0.3850] · R²=0.699 RISING +46.15%σ EXTREME 25.63%LAST 0.28500.38500.32500.26500.20500.1450μ = 0.2440max 0.3850min 0.1450dataMA(5)OLS R²=0.70μ lineμ ± σ bandmaxmin
25 YES observations from clob.polymarket.com · last 28.50¢
NO price · CLOB mid
n=25 · μ=0.7560 · σ=0.0625 · range [0.6150, 0.8550] · R²=0.699 FALLING -11.18%σ HIGH 8.27%LAST 0.71500.85500.79500.73500.67500.6150μ = 0.7560max 0.8550min 0.6150dataMA(5)OLS R²=0.70μ lineμ ± σ bandmaxmin
25 NO observations from clob.polymarket.com · last 71.50¢

§2 · Distribution of Δp

Histogram of hourly increments
n=24 · 10 bins · μ=0.0042 · σ=0.0310 · skew=2.56 (right-skewed) · kurt=6.75 (leptokurtic (fat tails))1186303-2.68ppbin -2.68pp · n=3 · 27.3% peakbin -2.68pp · n=3 · 27.3% peak8-1.03ppbin -1.03pp · n=8 · 72.7% peakbin -1.03pp · n=8 · 72.7% peak110.62ppbin 0.62pp · n=11 · 100.0% peakbin 0.62pp · n=11 · 100.0% peak2.27pp3.92pp5.57pp17.22ppbin 7.22pp · n=1 · 9.1% peakbin 7.22pp · n=1 · 9.1% peak8.88pp10.53pp112.17ppbin 12.17pp · n=1 · 9.1% peakbin 12.17pp · n=1 · 9.1% peakμΔ < 0 · loss barsΔ ≈ 0 · flatΔ > 0 · gain barsN(μ,σ²) referenceμ line · ±σ band shaded
n=24
Q-Q plot · standardised Δp vs N(0,1)
n=24 · skew=2.49 · kurt=6.43 · near 9 / mid 13 / far 2 · OLS slope=0.84 intercept=-0.00LEPTOKURTIC — FAT TAILSUPPER TAIL NORMALTHIN LOWER TAIL-3σ-3σ-2σ-2σ-1σ-1σ+0σ+0σ+1σ+1σ+2σ+2σ+3σ+3σΔ=+1.71σsample ↓marginal: sample bars + theoretical N(0,1) curve →theoretical Φ⁻¹(p) →↑ sample z-quantile|Δ| < 0.3σ · on the line|Δ| < 1σ · moderate|Δ| ≥ 1σ · outliery = x refOLS fit
reference line = identity (perfect normality). Heavy upper-right tail = fat positive tail.

§3 · Sample moments

Descriptive statistics · 5-number summary · shape diagnostics
SAMPLE MOMENTS · N=25APPROXIMATELY NORMAL · WELL-BEHAVED
μ MEAN24.40¢95% CI: [21.95¢, 26.85¢]
σ STD DEV6.25ppσ² = 39.104 · CV = 25.63%
med MEDIAN24.00¢Q₁ 19.50¢ · Q₃ 28.50¢
FIVE-NUMBER SUMMARY · BOX PLOT
min 14.50¢Q₁ 19.50¢med 24.00¢Q₃ 28.50¢max 38.50¢μ
SKEWNESS · G₁0.344approximately symmetric
−3−10+1+3
EXCESS KURTOSIS · G₂-0.620mesokurtic · normal-like
−30+2+4+6
μ ↔ median≈ equal · symmetric|μ−med| / σ = 0.06
σ × 1.349 ↔ IQRconsistent with normalratio = 0.94
range ↔ σconcentrated (range < 4σ)range / σ = 3.84
μ = mean YES probability · σ = standard deviation · 95% CI = μ ± 1.96·SE. Skew/kurt diagnose departure from normality.

§5 · Time-series structure

Regime & autocorrelation diagnostics
TIME-SERIES STRUCTUREREGIME: INDETERMINATE · weak signal at n=24
ρ(1) AUTOCORR-0.111within white-noise band
ρ(2) AUTOCORR-0.115lag-2 not significant
H · HURST EXPONENT1.078strongly persistent
OLS TREND · t-STAT+7.309significant @ α=0.05
HURST EXPONENT [0, 1]
H = 1.078STRONGLY PERSISTENT
0
anti-persistent
0.45
mean-reverting
0.5
random walk
0.55
persistent
1
strongly trending
AUTOCORRELATION FUNCTION · ρ(k) for k=1..5
k=1-0.111k=2-0.115k=3-0.161k=4-0.019k=5+0.0350+1−1+0.410.41+ momentum (ρ > +0.41)− reversal (ρ < −0.41)noise (within band)±2/√n threshold
OLS TREND · t-STAT · [-5, +5]
−5 reject−1.960 retain H₀+1.96+5 reject
REGIME CLASSIFICATIONINDETERMINATE · weak signal at n=24from Hurst + ρ(1) joint diagnosis
PREDICTABILITY · score 1.00very high · strong structure|ρ(1)| + 2·|H − 0.5| heuristic
TREND SIGNIFICANCESIGNIFICANT @ 1% (|t|=7.31)α=0.05 critical |t|=1.96 · α=0.01 |t|=2.58
ρ(k) = lag-k sample autocorrelation · H = R/S Hurst exponent · t = OLS-trend t-statistic. Significance bands at ±2/√n approximate the 95% white-noise envelope. α=0.05 critical |t|=1.96; α=0.01 |t|=2.58.

§6 · Microstructure

Market quality · two-sided pricing · activity
MICROSTRUCTURE · MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%
MARKET ID2554361
SLUGmojtaba-khamenei-seen-in-public-by-july-31
CATEGORYMojtaba Khamenei public appearance by...?
TWO-SIDED PRICING
PRIMARY · YES29.50¢implied prob 29.50% · decimal odds 3.39×
COUNTER · NO70.50¢implied prob 70.50% · decimal odds 1.42×
29.50¢
70.50¢
Σ-SIDES ARBITRAGE TEST
0%50%100% · target110%
Σ = 100.00% · |1 − Σ| = 0.000pp
24H ACTIVITY · LIQUIDITY
24H VOLUME26.22k USD 24h
LIQUIDITY27.33k USD
MARKET QUALITYPERFECT · ARB-FREE Σ=100.00%|1−Σ| ≤ 0.5pp ⇒ fair · > 2pp ⇒ inefficient
PRICING SKEWFAVOURS NO (71¢)|primary − counter| = 0.410 · entropy 0.875 bits
LIQUIDITY DEPTHACTIVE100k+ deep · 10k+ active · 1k+ modest · 100+ thin
Σ-sides = YES + NO implied probabilities. Perfect arb-free Σ = 100%. |1−Σ| > 2pp suggests synthetic outright arbitrage.

§7 · Position sizing & edge analysis

Probability split · YES vs NO · Kelly · entropy · arbitrage
FAIR MARKET · no edge
YES 29.5%NO 70.5%YES29.5%H = 0.875 / 1.00 bits
Probability scale (YES)
0%25%50%
fair
75%100%
Implied decimal odds
YES3.39×(30¢)NO1.42×(71¢)
Kelly bet-size (% of bankroll) K* = 0.00%
K* full
0.00%
½K half
0.00%
¼K quarter
0.00%
Entropy H(p̂) = 0.875 bits (88% of max) · high uncertainty
0 (certain)0.250.50.751.00 (max)
Σ-sides = 100.00% · |1 − Σ| = 0.00pp · tight cross-venue rounding
K* full = (b·p − q)/b · ½K and ¼K are conservative fractions of the full-Kelly bet. Entropy in bits — log₂(2)=1 is maximum uncertainty for a binary market.

§8 · Time decay & θ projection

Time decay & theta projection
⏱ URGENCY · DISTANTresolves 2026-07-31 00:00 UTC
42days
10hrs
38min
YES$1.00(P = 29.5%)
NO$0.00(P = 70.5%)
current: $0.2950 · expected return per side: $0.71 on YES hit · $0.29 on NO hit
0%25%50%75%100%YES $1NO $0NOW+21.2dRESOLVESP projection · σ=6.25% · path funnel to settle at YES=1 or NO=0
Theta progression · θ ∝ σ / √t_remainingθ_now = 30.635 pp/day
now42.44d left
30.635 pp/day×1.00
−25%31.83d left
35.374 pp/day×1.15
−50%21.22d left
43.324 pp/day×1.41
−75%10.61d left
61.270 pp/day×2.00
−90%4.24d left
96.876 pp/day×3.16
θ approximation: σ/√T (expected daily move magnitude). The cone shows ±√(p̂(1−p̂)) widening as time decays, funneling to {0, 1} at resolution. Theta accelerates as √(t_left)→0.

§9 · Hourly return heatmap

24-hour signed Δp grid · green = up · red = down
HOURLY RETURN HEATMAP · n=24 bars · best 13.00% · worst -3.50% · typical |Δ| 1.83%MILD BULLISH +9.00%BEST+13.00%18hWORST-3.50%19hTYPICAL |Δ|1.83%mean absoluteCUMULATIVE+9.00%Σ signed ΔSTREAK↘ 6down-runASIA · 00-08 UTCμ -0.71% · Σ -5.00%EUROPE · 08-16 UTCμ +1.38% · Σ +11.00%US · 16-24 UTCμ +0.50% · Σ +4.00%CUMULATIVE Δ PATH · final +9.00%+19.00%-5.00%-1.50% · 1h-1.50% · 1h-1.50%1h1.00% · 2h1.00% · 2h1.00%2h0.50% · 3h0.50% · 3h0.50%3h0.00% · 4h0.00% · 4h·4h-3.50% · 5h-3.50% · 5h-3.50%5h-1.50% · 6h-1.50% · 6h-1.50%6h0.00% · 7h0.00% · 7h·7h8.00% · 8h8.00% · 8h8.00%8h1.00% · 9h1.00% · 9h1.00%9h-0.50% · 10h-0.50% · 10h-0.50%10h0.00% · 11h0.00% · 11h·11h1.00% · 12h1.00% · 12h1.00%12h1.00% · 13h1.00% · 13h1.00%13h0.00% · 14h0.00% · 14h·14h0.50% · 15h0.50% · 15h0.50%15h0.50% · 16h0.50% · 16h0.50%16h-0.50% · 17h-0.50% · 17h-0.50%17h13.00% · 18h13.00% · 18h13.00%18h★ BEST-3.50% · 19h-3.50% · 19h-3.50%19h▼ WORST-2.00% · 20h-2.00% · 20h-2.00%20h-1.50% · 21h-1.50% · 21h-1.50%21h-1.00% · 22h-1.00% · 22h-1.00%22h-1.00% · 23h-1.00% · 23h-1.00%23h-1.00% · 24h-1.00% · 24h-1.00%24hTIME PATTERNEurope-led (+11.00%)RUNSup max 2 · down max 6BREADTH38% up · 46% down · 17% flat
9 up bars · 11 down · best 13.00% · worst -3.50% · typical |Δ| 1.833%

§10 · Equity curve & underwater drawdown

Cumulative compounded return + running peak-to-trough
EQUITY & DRAWDOWN ANALYSIS · n=25 barsPROFITABLE +8.00%FINAL+8.00%MAX DD-9.62%RECOVERYONGOING · 6 barsMAX RUN-UP+19.49%UNDERWATER16/25 (64%)STREAK↘ 6EQUITY CURVE · end 1.0800 · peak 1.1949 · range [0.9504, 1.1949]1.19490.9504break-even = 1★ PEAK 1.1949UNDERWATER DRAWDOWN · max -9.62% · significant0%-9.62%▼ TROUGH -9.62%TOP DRAWDOWN PERIODS · 4 total#1 -9.62%bar 20-25 · 6 bars · ONGOING#2 -4.96%bar 2-8 · 7 bars · recovered#3 -0.50%bar 11-12 · 2 bars · recoveredDD SEVERITYsignificant (max -9.62%)RECOVERYongoing · 6 barsTIME UNDER WATER64% of session · 16/25 bars
final equity 1.0800 (8.00%) · max DD -9.62% · time-under-water 16/25 bars

§11 · Rolling-window statistics (w = 6 bars)

Rolling annualised Sharpe ratio · green positive · red negative
n=19 · +16 / −3 (84% positive) · μ=18.21 · σ=54.64PROFITABLE STRATEGYLAST -158.66 (-3.24σ vs μ)158.6679.330.00-79.33-158.66μ = 18.21-46.89-46.89-32.97-32.9713.9413.9415.9215.9213.8513.8531.7031.7046.3146.3152.3952.3958.6858.6851.5251.52104.64104.6466.7266.7243.4243.4227.1327.1321.0721.0715.5115.5111.5311.5310.2110.21-158.66-158.66v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest -158.658 · range [-158.66, 104.64] · μ 18.211 · positive Sharpe = excess-return-per-risk earned by buying-and-holding through this window
Rolling annualised volatility (%)
n=19 · μ=311.6795 · σ=199.0030 · range [41.8569, 572.1294] · R²=0.129 FALLING -40.89%σ EXTREME 63.85%LAST 92.0217572.1294439.5612306.9931174.425041.8569μ = 311.6795max 572.1294min 41.8569dataMA(3)OLS R²=0.13μ lineμ ± σ bandmaxmin
latest 92.02% · range [41.86%, 572.13%] · μ 311.68% · σ̂ scaled to annualised (×√8760)
Rolling lag-1 autocorrelation ρ(1)
n=19 · +8 / −11 (42% positive) · μ=-0.053 · σ=0.209CLOSE TO MARTINGALELAST 0.322 (+1.80σ vs μ)0.4670.2340.000-0.234-0.467μ = -0.0530.1370.1370.2030.2030.1020.1020.1410.1410.1030.103-0.064-0.064-0.165-0.1650.0580.058-0.135-0.1350.1210.121-0.250-0.250-0.004-0.004-0.100-0.100-0.467-0.467-0.339-0.339-0.276-0.276-0.246-0.246-0.150-0.1500.3220.322v > 0 · positivev < 0 · negativeμ mean lineμ ± σ bandlatest bar (outlined)
latest 0.322 · |ρ| > 0.3 ⇒ regime with persistence (ρ > 0) or reversal (ρ < 0) · |ρ| ≤ 0.1 = consistent with random walk

§12 · Hypothesis tests (α = 0.05)

Formal inference at 5% significance
2 of 6 REJECT · mixed evidence2 reject·4 pass·α = 0.05
𝒩

Jarque-Bera

REJECT H₀***

H₀: Δp ~ Normal(μ, σ²)

STATISTIC
97.3350
p-VALUE (log scale)
< 0.0001
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-normal · fat tails or skew present
ρ

Ljung-Box(h=5)

FAIL TO REJECTns

H₀: No serial autocorrelation up to lag 5

STATISTIC
1.5259
p-VALUE (log scale)
0.9097
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedconsistent with white noise
Ψ

Dickey-Fuller (τ_μ)

FAIL TO REJECTns

H₀: p has a unit root (non-stationary)

STATISTIC
-1.3668
p-VALUE (log scale)
0.5968
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedrandom-walk behaviour (crit ≈ -2.86)
±

Wald-Wolfowitz runs

FAIL TO REJECTns

H₀: Sign sequence of Δ is random

STATISTIC
-0.8823
p-VALUE (log scale)
0.3776
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedsigns appear random (9 runs)
χ

KPSS (μ stationarity)

REJECT H₀**

H₀: p IS level-stationary

STATISTIC
0.7583
p-VALUE (log scale)
0.0090
α
10⁻⁴10⁻³10⁻²10⁻¹1
p < α · rejection zonenon-stationary (crit 0.463)
χ

Variance ratio q=3

FAIL TO REJECTns

H₀: Δp is a random walk · VR = 1

STATISTIC
-0.5674
p-VALUE (log scale)
0.5704
α
10⁻⁴10⁻³10⁻²10⁻¹1
p ≥ α · null retainedVR 0.827 ≈ 1 (RW behaviour)
Each row states an explicit null H₀, the test statistic, an approximated p-value, and the decision. REJECT means evidence against H₀. KPSS complements ADF (rejecting both ⇒ ambiguous; rejecting one ⇒ clean verdict).

§13 · Spectral analysis (DFT periodogram)

Power spectrum of Δp · ‖X̂(k)‖²/n
n=12 bins · noise floor μ=1.26e-3 · top T=4.80h (22.1%) · top-3 cover 52.6%2 SIGNIFICANT CYCLEScumulative energy ↗ (2 bins above 2× noise)3.3e-32.5e-31.7e-38.3e-40.0e+0μ noise floor2× noise (significance)period 24.0 · power 8.32e-4 · 5.5% energyperiod 24.0 · power 8.32e-4 · 5.5% energyperiod 12.0 · power 4.06e-4 · 2.7% energyperiod 12.0 · power 4.06e-4 · 2.7% energyperiod 8.0 · power 1.75e-3 · 11.6% energyperiod 8.0 · power 1.75e-3 · 11.6% energyperiod 6.0 · power 3.04e-4 · 2.0% energyperiod 6.0 · power 3.04e-4 · 2.0% energyperiod 4.8 · power 3.33e-3 · 22.1% energyperiod 4.8 · power 3.33e-3 · 22.1% energyperiod 4.0 · power 9.37e-5 · 0.6% energyperiod 4.0 · power 9.37e-5 · 0.6% energyperiod 3.4 · power 1.51e-3 · 10.0% energyperiod 3.4 · power 1.51e-3 · 10.0% energyperiod 3.0 · power 9.13e-4 · 6.1% energyperiod 3.0 · power 9.13e-4 · 6.1% energyperiod 2.7 · power 1.11e-3 · 7.4% energyperiod 2.7 · power 1.11e-3 · 7.4% energyperiod 2.4 · power 1.77e-3 · 11.7% energyperiod 2.4 · power 1.77e-3 · 11.7% energyperiod 2.2 · power 2.27e-4 · 1.5% energyperiod 2.2 · power 2.27e-4 · 1.5% energyperiod 2.0 · power 2.82e-3 · 18.7% energyperiod 2.0 · power 2.82e-3 · 18.7% energy50% by T=3.4h#1 dominantT=4.80h#2T=2.00h#3T=2.40hT=2hT=3hT=4hT=6hT=8hT=12hT=16hT=24h← shorter cycle (high freq · Nyquist=½) · period T (bars per cycle) · longer cycle (low freq · 1/n) →#1 dominant#2 peak#3 peak> 2× noisenoiseμ floor2μ sig.cum energy
dominant period ≈ 4.80h (freq 0.208) · concentrates 22.1% of total energy · Σ|X̂|²/n = 1.506e-2

▸ Depth section using sovereign-store price series (3120 bars · effective 1752421 bars/year) — annualisation reflects native polling cadence, not upstream timeframes.

§14 · Honest position analytics

A binary-market analytics module framed in horizon time (days to resolution, not annualised). Estimators that need a model probability q as a first-class input (Kelly, KL divergence, Bayesian posterior, Mark-to-Market MC) only render when q is provided externally. Sweep an exploratory q at the interactive simulator →

§15 · Horizon returns

Returns · per bar / per day / per horizon
Horizon 42.4 d · σ/bar 0.279pp · expected |Δp| over horizon 8.92ppterminal variance p(1−p) = 0.2080 · n = 3120n = 3120
μ per bar
+0.002pp
average Δp · drift
σ per bar
0.279pp
one-bar volatility · logit-free
Per-day movedaily
1.37pp
σ × √24
Per-horizon move42d
8.92pp
σ × √1018.6494919444444
Terminal variancebinary
0.2080
p(1−p) at resolution
Current pricep
29.5¢
latest snapshot
Note: annualised Sharpe/Sortino are omitted — they are not meaningful for a bounded fixed-horizon binary contract that snaps to {0, 1} at resolution.
Annualised metrics are intentionally omitted — they don't apply to bounded probability series that resolve at a fixed date.

§16 · Tail risk

VaR · ES · max drawdown
VaR₉₅ 0.46pp · ES₉₅ 0.57pp · method parametric · drift-correcteddrift +0.002pp/bar · quantised: yes · median step 0.50pp · unique ratio 0.01n = 3120
VaR 95%
0.46pp
1.645·σ (parametric) of Δp
ES 95%
0.57pp
mean of the tail
Max drawdown
31.3pp
peak 41.5¢ → trough 28.5¢
Median step
0.50pp
price bucket granularity
Price series is bucketed (cent grid). Empirical quantiles collapse to grid points — parametric N(0, σ²) used instead.
Empirical quantiles unless the price series is bucketed (PM cent grid), in which case parametric N(0, σ²) is used to avoid grid collapse.

§17 · Odds conversion

Odds conversion · every dialect a bettor thinks in
Implied probabilityP
29.5%
= price
Decimal oddsEU
3.390
total return per $1
AmericanUS
+239
$100 wins $239
FractionalUK
2.39 / 1
profit per $1 risked
Profit per $100stake
+$238.98
clean dollar framing
-1000-5000+500+1000020406080100you · 29.5%implied probability (%)American odds
underdog (+)favorite (-)your price
Price → implied probability → decimal odds → American moneyline → fractional. Five views of the same number, plus the moneyline curve.

§18 · Binary entropy

Binary entropy · uncertainty as bits of information
Market entropyH(p)
0.875 bit
max 1.0 at p = 0.5
Your entropyH(q)
0.875 bit
Δ +0.000 bit vs market
Surprise · YES−log₂ p
1.76 bit
self-information
Surprise · NO−log₂(1−p)
0.50 bit
self-information
0.000.260.530.791.050.00.20.40.60.81.0marketmodelprobabilityH (bits)
Market entropy only — model entropy requires an external q.

§19 · Model-dependent surfaces

§ Edge / Kelly / KL · no model probability provided

External model required

The position-economics, Kelly, KL-divergence, Bayesian and Monte-Carlo surfaces require a model probability q as input — a number independent of the market price p.

The previous build defaulted q to a tape-momentum heuristic derived from p; that produces apparent edge that is structurally guaranteed to be small and is not a useful skill signal. The auto-derived path has been removed.

To explore these surfaces with a hypothetical q, open the interactive simulator and drag the MODEL P(YES) slider. To wire a real model, POST to the NOSTRADAMUS hook (TBD) or pass ?q=… on the simulator URL.

§∞ · Provenance & attestation

Upstream (snapshot)
gamma-api.polymarket.com
Upstream (history)
clob.polymarket.com
YES token ID
74605887197723708258701409289846795722689616895189984287110714710702529170739
NO token ID
108492940972562775157754460446381692543840813377629475521497281736101973682497
Snapshot fetched
2026-06-18 13:20:48 UTC
Snapshot age
13.3s
History points
25 CLOB mids
Page rendered
2026-06-18 13:21:01 UTC
Storage policy
no persistence — fetched on every request
SHA-256 attestation
61ae9dc1a30e504b4aa1ec26b07a92e3c6fbbf36831182b4a96e25118d2d57a1 · deterministic hash of source snapshot
Open data licence
CC0 / public domain

§∞-2 · Related markets · explore more

Also see: /arb opportunities · RSS feed · more in Mojtaba Khamenei public appearance by...?

Market depth

live order book · Polymarket YES
Depth within 1bp
$0
bid $0 · ask $0
Depth within 5bp
$0
bid $0 · ask $0
Depth within 10bp
$0
bid $0 · ask $0
Depth within 50bp
$0
bid $0 · ask $0
Mid price
0.285000
(best bid + best ask) / 2
Spread
350.9bp
(bestAsk − bestBid) / mid
Imbalance (whole book)
-0.340
ask-heavy
Imbalance (top-5)
-0.075
ask-heavy top-of-book

Slippage scenarios

live book walk · Polymarket YES

Simulating a market order at three notionals against the live book. Slippage = avg execution price vs. mid, in basis points. Worst fill = price of the deepest level touched. Live JSON: /api/asset/pm-mojtaba-khamenei-seen-in-public-by-july-31/slippage?size=10000&side=buy

SideNotionalAvg fillSlippageWorst fillLevelsStatus
BUY$1.00K0.308315818.06bp0.3700005FILLED
BUY$10.00K0.5469719191.95bp0.72000021FILLED
BUY$100.00K0.83586219328.48bp0.99000040PARTIAL
SELL$1.00K0.2477811305.92bp0.2200007FILLED
SELL$10.00K0.1432304974.38bp0.01000021PARTIAL
SELL$100.00K0.1432304974.38bp0.01000021PARTIAL

Risk metrics

sovereign store · 3,120 barsperiods/year ≈ 1.75M
Realized vol (annualised)
1159.47%
σ per bar = 0.008759
Mean return (annualised)
12775.98%
μ per bar = 0.000073
Sharpe (rf=0)
11.02
annualised; risk-free assumed zero
Max drawdown
31.33%
peak 0.41 → trough 0.28 over 734 bars

/api/asset/pm-mojtaba-khamenei-seen-in-public-by-july-31/risk · same metrics, JSON