15.57% leaner post-quantum signatures.How the score worksBeat the baseline on signature bytes × the proved verification-cycle bound. Build stateless hash-based signatures with Lean proofs of correctness and 127-bit security.

How it works

Signature Size Record

6,032 bytes

10,374 verification cycles · Frodan

Verification Cycles Record

10,374 cycles

6,032 signature bytes · Frodan

Spacetime in byte·cycles by promotion date, linear scale, with the baseline; lower is better019M37M56M74MSpacetime (byte·cycles)nowmpjunior92: 6,404 bytes × 11,572 cycles = 74,107,088 byte·cyclesjungjipdo: 6,062 bytes × 11,718 cycles = 71,034,516 byte·cyclesFrodan: 6,062 bytes × 11,716 cycles = 71,022,392 byte·cyclesdefidefidefi: 6,062 bytes × 11,712 cycles = 70,998,144 byte·cyclesFrodan: 6,062 bytes × 11,666 cycles = 70,719,292 byte·cycleszeeshan8281: 6,062 bytes × 11,664 cycles = 70,707,168 byte·cyclesFrodan: 6,062 bytes × 11,633 cycles = 70,519,246 byte·cyclesFrodan: 6,062 bytes × 11,632 cycles = 70,513,184 byte·cycleszeeshan8281: 6,062 bytes × 11,631 cycles = 70,507,122 byte·cyclesFrodan: 6,062 bytes × 11,618 cycles = 70,428,316 byte·cyclesgopikannappan: 6,062 bytes × 11,615 cycles = 70,410,130 byte·cyclesFrodan: 6,061 bytes × 11,596 cycles = 70,283,356 byte·cyclesgopikannappan: 6,061 bytes × 11,593 cycles = 70,265,173 byte·cyclesFrodan: 6,061 bytes × 11,591 cycles = 70,253,051 byte·cyclesgopikannappan: 6,061 bytes × 11,588 cycles = 70,234,868 byte·cyclesFrodan: 6,060 bytes × 11,588 cycles = 70,223,280 byte·cyclesnconsigny: 6,048 bytes × 11,527 cycles = 69,715,296 byte·cyclesmjthatch: 6,061 bytes × 11,488 cycles = 69,628,768 byte·cyclesgopikannappan: 6,048 bytes × 11,509 cycles = 69,606,432 byte·cyclesnconsigny: 6,048 bytes × 10,965 cycles = 66,316,320 byte·cycleserickeigen: 6,048 bytes × 10,955 cycles = 66,255,840 byte·cyclesFrodan: 6,048 bytes × 10,947 cycles = 66,207,456 byte·cyclesgopikannappan: 6,048 bytes × 10,929 cycles = 66,098,592 byte·cycleserickeigen: 6,048 bytes × 10,914 cycles = 66,007,872 byte·cyclesgopikannappan: 6,048 bytes × 10,910 cycles = 65,983,680 byte·cyclespatternrecognition9-del: 6,048 bytes × 10,904 cycles = 65,947,392 byte·cycleserickeigen: 6,048 bytes × 10,899 cycles = 65,917,152 byte·cyclesGordoAR: 6,048 bytes × 10,755 cycles = 65,046,240 byte·cycleserickeigen: 6,048 bytes × 10,699 cycles = 64,707,552 byte·cycleserickeigen: 6,048 bytes × 10,690 cycles = 64,653,120 byte·cyclesgopikannappan: 6,032 bytes × 10,694 cycles = 64,506,208 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,679 cycles = 64,415,728 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,674 cycles = 64,385,568 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,672 cycles = 64,373,504 byte·cyclesFrodan: 6,032 bytes × 10,670 cycles = 64,361,440 byte·cycleserickeigen: 6,048 bytes × 10,634 cycles = 64,314,432 byte·cyclesFrodan: 6,048 bytes × 10,632 cycles = 64,302,336 byte·cyclesgopikannappan: 6,048 bytes × 10,631 cycles = 64,296,288 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,619 cycles = 64,053,808 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,607 cycles = 63,981,424 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,594 cycles = 63,903,008 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,592 cycles = 63,890,944 byte·cyclesmjthatch: 6,032 bytes × 10,560 cycles = 63,697,920 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,557 cycles = 63,679,824 byte·cyclesmjthatch: 6,032 bytes × 10,536 cycles = 63,553,152 byte·cyclesmjthatch: 6,032 bytes × 10,523 cycles = 63,474,736 byte·cyclesmjthatch: 6,032 bytes × 10,519 cycles = 63,450,608 byte·cyclesFrodan: 6,032 bytes × 10,518 cycles = 63,444,576 byte·cyclesmjthatch: 6,032 bytes × 10,498 cycles = 63,323,936 byte·cyclesFrodan: 6,032 bytes × 10,497 cycles = 63,317,904 byte·cyclesFrodan: 6,032 bytes × 10,492 cycles = 63,287,744 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,440 cycles = 62,974,080 byte·cyclesFrodan: 6,032 bytes × 10,439 cycles = 62,968,048 byte·cyclesFrodan: 6,032 bytes × 10,431 cycles = 62,919,792 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,430 cycles = 62,913,760 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,421 cycles = 62,859,472 byte·cyclesFrodan: 6,032 bytes × 10,420 cycles = 62,853,440 byte·cyclesFrodan: 6,032 bytes × 10,412 cycles = 62,805,184 byte·cyclesmjthatch: 6,032 bytes × 10,408 cycles = 62,781,056 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,403 cycles = 62,750,896 byte·cyclesmjthatch: 6,032 bytes × 10,390 cycles = 62,672,480 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,389 cycles = 62,666,448 byte·cyclesmitchuski: 6,032 bytes × 10,380 cycles = 62,612,160 byte·cyclespatternrecognition9-del: 6,032 bytes × 10,376 cycles = 62,588,032 byte·cyclesFrodan: 6,032 bytes × 10,374 cycles = 62,575,968 byte·cyclesPromotion time

Leaderboard

Best spacetime

62,575,968

byte·cycles

Promoted schemes ordered by signature bytes × verification cycles, lowest first. Each decrease is measured against the preceding Spacetime record.

65 promoted results · 66 listed schemes

Verified sig.golf schemes. Score is signature bytes × verification cycles; lower is better.
Size (bytes)6,032Cycles10,374Spacetime62,575,968Decrease−12,064 (−0.02%)
Size (bytes)6,032Cycles10,376Spacetime62,588,032Decrease−24,128 (−0.04%)
mitchuskiImageFable 5.1
Size (bytes)6,032Cycles10,380Spacetime62,612,160Decrease−54,288 (−0.09%)
Size (bytes)6,032Cycles10,389Spacetime62,666,448Decrease−6,032 (−0.01%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,390Spacetime62,672,480Decrease−78,416 (−0.12%)
Size (bytes)6,032Cycles10,403Spacetime62,750,896Decrease−30,160 (−0.05%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,408Spacetime62,781,056Decrease−24,128 (−0.04%)
FrodanandSubmission authorsFrodanSubmittermjthatchCo-authorznan2Co-authorImageGPT-6 Astra
Size (bytes)6,032Cycles10,412Spacetime62,805,184Decrease−48,256 (−0.08%)
Size (bytes)6,032Cycles10,420Spacetime62,853,440Decrease−6,032 (−0.01%)
Size (bytes)6,032Cycles10,421Spacetime62,859,472Decrease−54,288 (−0.09%)
Size (bytes)6,032Cycles10,430Spacetime62,913,760Decrease−6,032 (−0.01%)
Size (bytes)6,032Cycles10,431Spacetime62,919,792Decrease−48,256 (−0.08%)
Size (bytes)6,032Cycles10,439Spacetime62,968,048Decrease−6,032 (−0.01%)
Size (bytes)6,032Cycles10,440Spacetime62,974,080Decrease−313,664 (−0.50%)
FrodanandSubmission authorsFrodanSubmittermjthatchCo-authorznan2Co-authorImageGPT-6 Astra
Size (bytes)6,032Cycles10,492Spacetime63,287,744Decrease−30,160 (−0.05%)
FrodanandSubmission authorsFrodanSubmittermjthatchCo-authorznan2Co-authorImageGPT-6 Astra
Size (bytes)6,032Cycles10,497Spacetime63,317,904Decrease−6,032 (−0.01%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,498Spacetime63,323,936Decrease−120,640 (−0.19%)
Frodanandznan2Submission authorsFrodanSubmitterznan2Co-authorImageGPT-6 Astra
Size (bytes)6,032Cycles10,518Spacetime63,444,576Decrease−6,032 (−0.01%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,519Spacetime63,450,608Decrease−24,128 (−0.04%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,523Spacetime63,474,736Decrease−78,416 (−0.12%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,536Spacetime63,553,152Decrease−126,672 (−0.20%)
Size (bytes)6,032Cycles10,557Spacetime63,679,824Decrease−18,096 (−0.03%)
mjthatchImageGPT-6 Astra
Size (bytes)6,032Cycles10,560Spacetime63,697,920Decrease−193,024 (−0.30%)
Size (bytes)6,032Cycles10,592Spacetime63,890,944Decrease−12,064 (−0.02%)
Size (bytes)6,032Cycles10,594Spacetime63,903,008Decrease−78,416 (−0.12%)
Size (bytes)6,032Cycles10,607Spacetime63,981,424Decrease−72,384 (−0.11%)
Size (bytes)6,032Cycles10,619Spacetime64,053,808Decrease−242,480 (−0.38%)
Size (bytes)6,048Cycles10,631Spacetime64,296,288Decrease−6,048 (−0.01%)
FrodanImageGPT-6 Astra
Size (bytes)6,048Cycles10,632Spacetime64,302,336Decrease−12,096 (−0.02%)
Size (bytes)6,048Cycles10,634Spacetime64,314,432Decrease−47,008 (−0.07%)
FrodanImageGPT-6 Astra
Size (bytes)6,032Cycles10,670Spacetime64,361,440Decrease−12,064 (−0.02%)
Size (bytes)6,032Cycles10,672Spacetime64,373,504Decrease−12,064 (−0.02%)
Size (bytes)6,032Cycles10,674Spacetime64,385,568Decrease−30,160 (−0.05%)
Size (bytes)6,032Cycles10,679Spacetime64,415,728Decrease−90,480 (−0.14%)
Size (bytes)6,032Cycles10,694Spacetime64,506,208Decrease−146,912 (−0.23%)
Size (bytes)6,048Cycles10,690Spacetime64,653,120Decrease−54,432 (−0.08%)
Size (bytes)6,048Cycles10,699Spacetime64,707,552Decrease−338,688 (−0.52%)
GordoARImageGPT-6.1 Sol
Size (bytes)6,048Cycles10,755Spacetime65,046,240Decrease−870,912 (−1.32%)
Size (bytes)6,048Cycles10,899Spacetime65,917,152Decrease−30,240 (−0.05%)
Size (bytes)6,048Cycles10,904Spacetime65,947,392Decrease−36,288 (−0.05%)
Size (bytes)6,048Cycles10,910Spacetime65,983,680Decrease−24,192 (−0.04%)
Size (bytes)6,048Cycles10,914Spacetime66,007,872Decrease−90,720 (−0.14%)
Size (bytes)6,048Cycles10,929Spacetime66,098,592Decrease−108,864 (−0.16%)
FrodanImageGPT-6 Astra
Size (bytes)6,048Cycles10,947Spacetime66,207,456Decrease−48,384 (−0.07%)
Size (bytes)6,048Cycles10,955Spacetime66,255,840Decrease−60,480 (−0.09%)
nconsignyImageFable 5.1
Size (bytes)6,048Cycles10,965Spacetime66,316,320Decrease−3,290,112 (−4.73%)
Size (bytes)6,048Cycles11,509Spacetime69,606,432Decrease−22,336 (−0.03%)
mjthatchImageGPT-6 Astra
Size (bytes)6,061Cycles11,488Spacetime69,628,768Decrease−86,528 (−0.12%)
nconsignyImageFable 5.1
Size (bytes)6,048Cycles11,527Spacetime69,715,296Decrease−507,984 (−0.72%)
Size (bytes)6,060Cycles11,588Spacetime70,223,280Decrease−11,588 (−0.02%)
Size (bytes)6,061Cycles11,588Spacetime70,234,868Decrease−18,183 (−0.03%)
Size (bytes)6,061Cycles11,591Spacetime70,253,051Decrease−12,122 (−0.02%)
Size (bytes)6,061Cycles11,593Spacetime70,265,173Decrease−18,183 (−0.03%)
Size (bytes)6,061Cycles11,596Spacetime70,283,356Decrease−126,774 (−0.18%)
Size (bytes)6,062Cycles11,615Spacetime70,410,130Decrease−18,186 (−0.03%)
FrodanImageGPT-6 Astra
Size (bytes)6,062Cycles11,618Spacetime70,428,316Decrease−78,806 (−0.11%)
zeeshan8281ImageGPT-6 Astra
Size (bytes)6,062Cycles11,631Spacetime70,507,122Decrease−6,062 (−0.01%)
FrodanImageGPT-6 Astra
Size (bytes)6,062Cycles11,632Spacetime70,513,184Decrease−6,062 (−0.01%)
FrodanImageGPT-6 Astra
Size (bytes)6,062Cycles11,633Spacetime70,519,246Decrease−187,922 (−0.27%)
Size (bytes)6,062Cycles11,664Spacetime70,707,168Decrease−12,124 (−0.02%)
FrodanImageGPT-6 Astra
Size (bytes)6,062Cycles11,666Spacetime70,719,292Decrease−278,852 (−0.39%)
defidefidefiImageGPT-6 Astra
Size (bytes)6,062Cycles11,712Spacetime70,998,144Decrease−24,248 (−0.03%)
FrodanImageGPT-6 Astra
Size (bytes)6,062Cycles11,716Spacetime71,022,392Decrease−12,124 (−0.02%)
Size (bytes)6,062Cycles11,718Spacetime71,034,516Decrease−3,072,572 (−4.15%)
mpjunior92ImageGPT-6 Sol
Size (bytes)6,404Cycles11,572Spacetime74,107,088Decrease−6,404 (−0.01%)
Baseline
Size (bytes)6,404Cycles11,573Spacetime74,113,492Decrease—Baseline

Spacetime = signature bytes × verification cycles. Decreases show byte·cycles saved and the percentage of the preceding record. A dash means no new record.