Sign In

神奇的零知识证明！既能保守秘密，又让别人信你！

彭导分享 • May 13, 2021
Video Thumbnail
彭导分享 Logo

彭导分享

@pdsharing

About

一个典型的科学爱好者~ 个人博客：pdsharing.com

Latest Posts

漫谈相对论（一）高考只得了6分！爱因斯坦为啥成了最伟大的科学家？
PT4M

漫谈相对论（一）高考只得了6分！爱因斯坦为啥成了最伟大的科学家？

彭导分享3 years ago

294112

漫谈相对论（三）光速为何恒定不变？什么是相对性原理？
PT4M

漫谈相对论（三）光速为何恒定不变？什么是相对性原理？

彭导分享3 years ago

263249

漫谈相对论（四）对不同的观察者，宇宙到底有何变化？
PT4M

漫谈相对论（四）对不同的观察者，宇宙到底有何变化？

彭导分享3 years ago

213534

李永乐和马斯克财富差距有多大？不过是6只猴子而已
PT4M

李永乐和马斯克财富差距有多大？不过是6只猴子而已

彭导分享4 years ago

999364

Video Description

【加入会员链接】https://www.youtube.com/channel/UCSs4A6HYKmHA2MG_0z-F0xw/join 【订阅频道链接】https://www.youtube.com/李永乐老师 ------------------------------------------------ 视频内容： 如果你证明了哥德巴赫猜想，既不想告诉别人细节，又想让别人相信你，有什么方法吗？如果你办了一个企业，被对手指责财务造假，你既不想透露自己的财务数据，又想澄清谣言，有什么方法吗？零知识证明可以帮助你，通过证明者和验证者的交互，证明者可以让验证者相信自己的确具有某种信息或者技能，但是对于信息或者技能本身却不会有丝毫泄密。这是怎么做到的？点开视频看看吧！ 内容章节： 00:00 前言 00:41 零知识证明 03:31 阿里巴巴与四十大盗 04:29 第一关 分球 07:05 第二关 阿里巴巴的山洞 09:31 第三关 数独 12:25 第四关 染色问题 15:20 NP完全问题 16:54 思考题 ------------------------------------------------ 火热视频推荐： 千万不要用微波炉烧水！ https://youtu.be/VLW2vUgopt0 如何才能摆脱贫穷？穷人和富人有什么差别？ https://youtu.be/aBTDvlteZcs 李永乐和马斯克财富差距有多大？ https://youtu.be/y5coTWUm39M 【经济泡沫1/4】一朵花换一栋楼？ https://youtu.be/PXseMoyGKzY 如何才能长生不老？ https://youtu.be/n1aUMs6OlGM 神奇的鲁伯特之泪：子弹打不碎，一捏就爆炸 https://youtu.be/En2GKUD1ty0 牛奶：必需品还是阴谋？ https://youtu.be/g_Ljlo-_ntU ------------------------------------------------ 大家有什么想看的内容，可以在下方留言！

You May Also Like

Upgrade Your Everyday

AI-recommended products based on this video

Loading...
Kasa Smart Outdoor Smart Plug by TP-Link (KP400) - Smart WiFi Outlet with 2 Sockets, IP64 Waterproof, Works with Alexa and Google Home, 2.4GHz WiFi Required, No Hub Required, Sunset & Sunrise Offset

Kasa Smart Outdoor Smart Plug by TP-Link (KP400) - Smart WiFi Outlet with 2 Sockets, IP64 Waterproof, Works with Alexa and Google Home, 2.4GHz WiFi Required, No Hub Required, Sunset & Sunrise Offset

(28,846)
$21.99$17.99
FREE delivery Wed, Aug 20 on your first order
1K+ bought in past month
Loading...
Wireless Earbuds Bluetooth 5.4 Headphones, 50H Playtime Stereo Earphones with ENC Noise Cancelling, IPX7 Waterproof Open Ear Buds with Ergonomic Earhook for Fitness/Sports/Workouts Black

Wireless Earbuds Bluetooth 5.4 Headphones, 50H Playtime Stereo Earphones with ENC Noise Cancelling, IPX7 Waterproof Open Ear Buds with Ergonomic Earhook for Fitness/Sports/Workouts Black

(182)
$39.99
Prime
Loading...
Wireless Earbuds, Bluetooth 5.4 Headphones HiFi Stereo with 6 HD Mics, 2025 Active Noise Cancelling Earbuds, 36H Playtime and LED Display in Ear Earphones, IP7 Waterproof Wireless Headphones, Black

Wireless Earbuds, Bluetooth 5.4 Headphones HiFi Stereo with 6 HD Mics, 2025 Active Noise Cancelling Earbuds, 36H Playtime and LED Display in Ear Earphones, IP7 Waterproof Wireless Headphones, Black

(159)
$29.99$26.99
FREE delivery Fri, Jan 2 on your first order
Loading...
Wireless Earbuds, Sports Bluetooth Headphones, 80Hrs Playtime Ear Buds with LED Power Display, Noise Canceling Headset, IPX7 Waterproof Earphones for Workout/Running(Black)

Wireless Earbuds, Sports Bluetooth Headphones, 80Hrs Playtime Ear Buds with LED Power Display, Noise Canceling Headset, IPX7 Waterproof Earphones for Workout/Running(Black)

(421)
$39.99
Prime
1K+ bought in past month
Loading...
Monster Open Ear Headphones AC330, Wireless Earbuds Bluetooth 5.4 with Clear Talk, Stylish Rotating Case with Lanyard, Type-C Charging, Comfort Fit, 24H Playback, IPX5 Water Resistant, Black

Monster Open Ear Headphones AC330, Wireless Earbuds Bluetooth 5.4 with Clear Talk, Stylish Rotating Case with Lanyard, Type-C Charging, Comfort Fit, 24H Playback, IPX5 Water Resistant, Black

(262)
$29.99
FREE delivery Tue, Dec 30 on your first order
500+ bought in past month
Loading...
Brita Stainless Steel Premium Filtering Water Bottle, BPA-Free, Reusable, Insulated, Replaces 300 Plastic Water Bottles, Filter Lasts 2 Months or 40 Gallons, Includes 1 Filter, Carbon - 20 oz.

Brita Stainless Steel Premium Filtering Water Bottle, BPA-Free, Reusable, Insulated, Replaces 300 Plastic Water Bottles, Filter Lasts 2 Months or 40 Gallons, Includes 1 Filter, Carbon - 20 oz.

(2,652)
$81.37$76.36
FREE delivery Sep 29 - Oct 2
Loading...
Simple Modern Filtered Water Bottle | Insulated Stainless-Steel Carbon Filter Travel Water Bottles | Reusable for Clean Drinking Water On The Go | 24oz, Sea Glass Sage

Simple Modern Filtered Water Bottle | Insulated Stainless-Steel Carbon Filter Travel Water Bottles | Reusable for Clean Drinking Water On The Go | 24oz, Sea Glass Sage

(26)
$30.13
FREE delivery Tue, Sep 23 on your first order
Loading...
FITVII Health & Fitness Tracker (Answer/Make Calls), Smart Watch with 24/7 Heart Rate and Blood Pressure, Sleep Tracking Monitor, 120+ Sport Mode Activity Tracker

FITVII Health & Fitness Tracker (Answer/Make Calls), Smart Watch with 24/7 Heart Rate and Blood Pressure, Sleep Tracking Monitor, 120+ Sport Mode Activity Tracker

(198)
$59.99
FREE delivery Sun, Aug 10
100+ bought in past month
Loading...
AYATAHA AYATAHA Smart Watch for Kids, Smartwatch Fitness Tracker for Boys Girls, Children's Activity Watch 37 Sports Modes SMS Notification, HD Full Touchscreen IP67 Waterproof, Blue

AYATAHA AYATAHA Smart Watch for Kids, Smartwatch Fitness Tracker for Boys Girls, Children's Activity Watch 37 Sports Modes SMS Notification, HD Full Touchscreen IP67 Waterproof, Blue

(55)
$41.99
PrimeFREE delivery Sat, Jun 14
Loading...
Iaret Iaret Smart Watch for Women, 1.83" HD Fitness Tracker with 4 Bands, Answer/Make Calls, Heart Rate/Sleep/SpO2/Step Tracking, 100+ Sport Modes, Android/iPhone Compatible Gift (Rose Gold)

Iaret Iaret Smart Watch for Women, 1.83" HD Fitness Tracker with 4 Bands, Answer/Make Calls, Heart Rate/Sleep/SpO2/Step Tracking, 100+ Sport Modes, Android/iPhone Compatible Gift (Rose Gold)

(42)
$59.99
FREE delivery Thu, Jun 19
100+ bought in past month
Loading...
Smart Watch for Men Women 1.8" Fitness Tracker, Bluetooth Call, DIY Dial, Heart Rate Sleep Blood Oxygen Monitor, 100+ Sports Modes, IP68 Waterproof Smartwatch for Android iPhone, Alexa Built-in

Smart Watch for Men Women 1.8" Fitness Tracker, Bluetooth Call, DIY Dial, Heart Rate Sleep Blood Oxygen Monitor, 100+ Sports Modes, IP68 Waterproof Smartwatch for Android iPhone, Alexa Built-in

(980)
$39.99
FREE delivery Sun, Sep 21
300+ bought in past month
Loading...
Hand Warmers 2 Pack, 14000mAh Rechargeable Hand Warmers, Electric Hand Warmer Reusable, Portable Power Bank USB Hand Warmers 4 Levels 8 Heating, Gifts for Raynauds Ski Golf Camping

Hand Warmers 2 Pack, 14000mAh Rechargeable Hand Warmers, Electric Hand Warmer Reusable, Portable Power Bank USB Hand Warmers 4 Levels 8 Heating, Gifts for Raynauds Ski Golf Camping

(683)
$74.08$59.47
FREE delivery Jun 13 - 18
Loading...
Hand Warmers Rechargeable, 10000mAh Electric Heated Gloves Power Bank Portable Graphene Handwarmers Pouch with 3 Levels & Double-Sided Heating for Hunting Camping Golf Xmas Gifts for Women Men Kids

Hand Warmers Rechargeable, 10000mAh Electric Heated Gloves Power Bank Portable Graphene Handwarmers Pouch with 3 Levels & Double-Sided Heating for Hunting Camping Golf Xmas Gifts for Women Men Kids

(651)
$44.99
PrimeFREE delivery Sun, Jun 15
Loading...
2Pack Rechargeable Hand Warmer, 8000mAh Electric Hand Warmer Power Bank, Portable USB-C Hand Warmer for Pocket, Reusable Hand Warmer Up to 8 hrs Each, Warm Gift for Men Women, for Hunting, Camping
Amazon's Choice

2Pack Rechargeable Hand Warmer, 8000mAh Electric Hand Warmer Power Bank, Portable USB-C Hand Warmer for Pocket, Reusable Hand Warmer Up to 8 hrs Each, Warm Gift for Men Women, for Hunting, Camping

(1,128)
$15.99
FREE delivery Sat, Jun 14 on your first order
Loading...
GTOCE Portable Charger,40000mAh Power Bank with 22.5W Fast Charging LED Digital Display Battery Pack with 6 Outputs 2 Inputs, Type C Powerbank Portable Charger for iPhone 16 pro Samsung AirPods,Black

GTOCE Portable Charger,40000mAh Power Bank with 22.5W Fast Charging LED Digital Display Battery Pack with 6 Outputs 2 Inputs, Type C Powerbank Portable Charger for iPhone 16 pro Samsung AirPods,Black

(334)
$42.99
FREE delivery Thu, Oct 16
1K+ bought in past month
Loading...
Monster Sleep Ear100 Ear Buds, Sleep Earbuds with Stereo Sound, Design for Side Sleeper, 32H Playtime, Bluetooth 6.0, ENC Noise Cancelling, IPX6 Waterproof Mini Headphones, Black

Monster Sleep Ear100 Ear Buds, Sleep Earbuds with Stereo Sound, Design for Side Sleeper, 32H Playtime, Bluetooth 6.0, ENC Noise Cancelling, IPX6 Waterproof Mini Headphones, Black

(6)
$39.99
FREE delivery Sat, Dec 27
Loading...
Hydroponics Growing System Indoor Garden - Herb Garden with Grow Light, 15 Pods Stainless Steel Indoor Garden Kit, Auto Timer, Gardening Gift for All Ages

Hydroponics Growing System Indoor Garden - Herb Garden with Grow Light, 15 Pods Stainless Steel Indoor Garden Kit, Auto Timer, Gardening Gift for All Ages

(24)
$206.57$200.61
FREE delivery Jun 13 - 17
Loading...
Umbra Triflora Hanging Planter for Window, Indoor Herb Garden, Set of 5, White/Black

Umbra Triflora Hanging Planter for Window, Indoor Herb Garden, Set of 5, White/Black

(7,808)
$71.52
PrimeFREE delivery Sat, Jun 14
Loading...
Large Hydroponics Growing System 14 Pods, Indoor Herb Garden with LED Grow Light, 5L Water Tank, Hydroponic Grow Kit with 3 Auto-Timers, Rotatable Light Panel and Child Lock for Home School Gardening

Large Hydroponics Growing System 14 Pods, Indoor Herb Garden with LED Grow Light, 5L Water Tank, Hydroponic Grow Kit with 3 Auto-Timers, Rotatable Light Panel and Child Lock for Home School Gardening

(119)
$167.81
FREE delivery Jun 16 - 20
Loading...
Hanging Planter Hanging Plant Holder, 6 Inch 4 Indoor Plant Pots, Wall/Window Plant Hanger Indoor Herb Garden

Hanging Planter Hanging Plant Holder, 6 Inch 4 Indoor Plant Pots, Wall/Window Plant Hanger Indoor Herb Garden

(269)
$35.99$28.90
PrimeFREE delivery Sat, Jun 14
Loading...
slopehill Multi Hair Stylers & Hair Straightener - 2 in 1 Wet to Dry Air Straightener and Hair Dryer Combo with High Speed Air + Rapid Heat-Up + Customizable Temperature(Pink)

slopehill Multi Hair Stylers & Hair Straightener - 2 in 1 Wet to Dry Air Straightener and Hair Dryer Combo with High Speed Air + Rapid Heat-Up + Customizable Temperature(Pink)

(177)
$139.99
Prime
Loading...
Hi.FANCY Portable Laptop Stand with Dual Cooling Fans for 14-17inch Laptops, Grey, 23.5 x 25.9 x 0.95cm

Hi.FANCY Portable Laptop Stand with Dual Cooling Fans for 14-17inch Laptops, Grey, 23.5 x 25.9 x 0.95cm

(0)
$36.99
FREE delivery Aug 18 - 28
Loading...
Laptop Stand for Desk, Adjustable Laptop Riser ABS+Silicone Foldable Portable Laptop Holder, Ventilated Cooling Notebook Stand for 10-15.6” Laptops,Tablet-Black

Laptop Stand for Desk, Adjustable Laptop Riser ABS+Silicone Foldable Portable Laptop Holder, Ventilated Cooling Notebook Stand for 10-15.6” Laptops,Tablet-Black

(11,679)
$14.99
FREE delivery Sat, Jun 14 on your first order
500+ bought in past month
Loading...
JETech 5 in 1 Case for Samsung Galaxy S25 Ultra 5G with 2-Pack Each Tempered Glass Screen Protector and Camera Lens Protector, Non-Yellowing Shockproof Bumper Phone Cover (Clear)

JETech 5 in 1 Case for Samsung Galaxy S25 Ultra 5G with 2-Pack Each Tempered Glass Screen Protector and Camera Lens Protector, Non-Yellowing Shockproof Bumper Phone Cover (Clear)

(197)
$15.99
FREE delivery Sat, Jun 14 on your first order
100+ bought in past month
Loading...
TAURI for iPhone 17 Pro Max Case 6.9" with 1-Pack Screen Protector, Camera Lens Full Protection, Military-Grade Protection, Shockproof Transparent Back Bumper Phone Cover - Clear Global Recycled Standard

TAURI for iPhone 17 Pro Max Case 6.9" with 1-Pack Screen Protector, Camera Lens Full Protection, Military-Grade Protection, Shockproof Transparent Back Bumper Phone Cover - Clear Global Recycled Standard

(0)
$10.76
FREE delivery Thu, Oct 16 on your first order
2K+ bought in past month
Loading...
TAURI for iPhone 17 Pro Case 6.3" with 1-Pack Screen Protector, Camera Lens Full Protection, Military-Grade Protection, Shockproof Transparent Back Bumper Phone Cover - Clear Global Recycled Standard
Best Seller

TAURI for iPhone 17 Pro Case 6.3" with 1-Pack Screen Protector, Camera Lens Full Protection, Military-Grade Protection, Shockproof Transparent Back Bumper Phone Cover - Clear Global Recycled Standard

(61,696)
$10.76
Prime
2K+ bought in past month
Loading...
JOINPAYA 1Set Rechargeable Hand Warmer Hand Heater for Winter Heating Levels Compact

JOINPAYA 1Set Rechargeable Hand Warmer Hand Heater for Winter Heating Levels Compact

(0)
$9.29
FREE delivery Jun 20 - Jul 4
Loading...
Shakven Rechargeable Hand Warmer | Cute Comfortable Portable Hand Warmers,Ergonomic Adjustable Energy-Efficient Small Heater for Travel, Outdoor, Winter

Shakven Rechargeable Hand Warmer | Cute Comfortable Portable Hand Warmers,Ergonomic Adjustable Energy-Efficient Small Heater for Travel, Outdoor, Winter

(0)
$26.93
FREE delivery Jun 19 - Jul 2
Loading...
OCOOPA IP45 Waterproof Hand Warmer Rechargeable, Up to 15hrs Heat,10000mAh Durable Quick Charge Electric Hand Heater, PD Compatible, 3 Levels for Outdoors, Heavy Duty, H01-PD PRO

OCOOPA IP45 Waterproof Hand Warmer Rechargeable, Up to 15hrs Heat,10000mAh Durable Quick Charge Electric Hand Heater, PD Compatible, 3 Levels for Outdoors, Heavy Duty, H01-PD PRO

(50)
$39.99
PrimeFREE delivery Sat, Jun 14
Loading...
OCOOPA IP45 Waterproof Hand Warmer Rechargeable, Up to 15hrs Heat,10000mAh Durable Quick Charge Electric Hand Heater, PD Compatible, 3 Levels for Outdoors, Heavy Duty, H01-PD PRO

OCOOPA IP45 Waterproof Hand Warmer Rechargeable, Up to 15hrs Heat,10000mAh Durable Quick Charge Electric Hand Heater, PD Compatible, 3 Levels for Outdoors, Heavy Duty, H01-PD PRO

(649)
$39.99
PrimeFREE delivery Sat, Jun 14
AiChat Products Saved Account