How does zk-DID (Zero-Knowledge Decentralized Identity) technically work?
How zk-DID (Zero-Knowledge Decentralized Identity) Technically Works
In an increasingly digital world, the need for secure and private identity management has never been more critical. Zero-Knowledge Decentralized Identity (zk-DID) emerges as a groundbreaking solution that allows individuals to prove their identity without disclosing sensitive information. This article delves into the technical workings of zk-DID, exploring its key components, protocol flow, security benefits, and potential applications.
1. Understanding Decentralized Identity (DID)
A Decentralized Identifier (DID) serves as a unique identifier for individuals or entities within a blockchain or decentralized network. Unlike traditional identifiers managed by centralized authorities, DIDs are controlled by the individual themselves. This self-sovereignty empowers users to manage their identities across various applications and services without relying on third-party intermediaries.
2. The Role of Zero-Knowledge Proofs
At the heart of zk-DID lies zero-knowledge proofs—mathematical constructs that enable one party to demonstrate the truth of a statement without revealing any underlying data. These proofs are essential for maintaining privacy while allowing verification processes to occur securely.
The two primary types of zero-knowledge proofs utilized in zk-DIDs are:
- zk-SNARKs: Zero-Knowledge Succinct Non-Interactive Argument of Knowledge is known for its efficiency and compactness in proof generation.
- zk-STARKs: Zero-Knowledge Scalable Transparent Argument of Knowledge offers scalability advantages and does not require a trusted setup phase.
3. Cryptographic Techniques Underpinning zk-DIDs
The effectiveness of zk-DIDs relies on several cryptographic techniques that ensure secure communication and data integrity:
- Public-Key Cryptography: This technique facilitates secure communication between parties through asymmetric encryption methods where each user possesses both public and private keys.
- Hash Functions: Hash functions create unique identifiers from input data while ensuring data integrity through irreversible transformations.
- Homomorphic Encryption:This advanced form of encryption allows computations on encrypted data without needing decryption first, enhancing privacy during processing operations.
4. Protocol Flow: How zk-DID Operates
The operational flow of zk-DID can be broken down into several key steps that illustrate how users interact with this technology effectively:
- Initialization:
The user generates their DID along with a corresponding private key stored securely on their device or wallet. - Create Verification Proof:
The user constructs a zero-knowledge proof demonstrating possession of their private key while keeping it confidential from external parties. - User Interaction with Service Provider:
The service provider requests verification from the user based on specific criteria related to access or authentication needs. - Pseudonymous Verification Process:
The service provider verifies the user's proof using cryptographic methods without gaining access to any personal information about them—ensuring anonymity throughout this process.5 . Security Benefits Offered by zk - DID < p > The implementation o f z k - D I D provides numerous security advantages : < ul > < li >< strong > Privacy : Users ' sensitive information remains confidential , protecting them against potential breaches . < li >< strong > Anonymity : Individuals can maintain anonymity while still proving necessary aspects o f their identity , fostering trust in digital interactions . < li >< strong > Enhanced Security : The use o f zero - knowledge proofs guarantees that verification processes are robust , minimizing risks associated with identity theft or fraud . < / ul >
6 . Applications o f z k - D I D Technology < / h 2 > < p > The versatility o f z k - D I Ds opens doors t o various applications across industries : - < strong > Identity Verification : Secure login mechanisms enabling seamless authentication across platforms .
- < Strong > Compliance : Meeting regulatory requirements related t o privacy laws such as GDPR .
- < Strong > Trustless Interactions : Facilitating decentralized systems like blockchain where trust is established through cryptographic means rather than centralized authorities .
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0.00284 | -1.05% | |
0.00000000008331 | 2.80% | |
0.004334 | 4.51% | |
0.000856 | -0.23% | |
0.00039969 | 1.72% | |
0.000000001275 | 0.00% | |
0.003051 | 2.25% | |
2.7273 | 1.77% | |
0.000308 | 18.01% | |
0.0002160 | -4.13% | |
0.00000738 | 2.64% | |
0.00404 | -11.01% | |
0.008091 | 0.48% | |
0.1598 | -0.37% | |
0.005574 | -3.04% | |
0.751 | 0.40% | |
0.000000047306 | 1.93% | |
0.004955 | -0.66% | |
0.8743 | 65.27% | |
0.05260 | -15.19% | |
0.063405 | 0.98% | |
0.1971 | 2.71% | |
0.000357 | -0.28% | |
0.00000006483 | 2.32% | |
0.3381 | -2.23% | |
1.1259998 | 0.08% | |
0.3494 | -2.84% | |
0.00189 | 5.00% | |
0.7068 | 0.90% | |
0.0003643 | -11.47% | |
0.015387 | -1.14% | |
0.00001625 | 2.33% | |
0.001950 | -13.37% | |
0.61595 | 14.11% | |
2.203 | -2.44% | |
0.2076 | 0.87% | |
1.7036 | 4.20% | |
0.000374 | -3.61% | |
1303 | 1.01% | |
0.002717 | -1.02% | |
6.9200 | -0.92% | |
0.00355 | -1.66% | |
0.02918 | -3.54% | |
91.8925 | -0.96% | |
0.02275 | 0.31% | |
0.000739 | 23.17% | |
140.61 | 0.03% | |
0.007574 | 0.17% | |
0.3470 | 0.00% | |
0.0029720 | -1.02% | |
0.1067 | 1.14% | |
0.01469 | 0.07% | |
0.000720 | 1.12% | |
0.00004400 | -19.38% | |
9.617 | -3.60% | |
9.1204 | -8.81% | |
0.000782 | 15.34% | |
0.01312 | 10.25% | |
4.433 | 2.24% | |
0.00000633 | -2.62% | |
16.5661 | -2.59% | |
13.65 | 8.59% | |
0.0427 | 0.47% | |
0.2034 | -9.03% | |
0.0000426 | 36.10% | |
0.0111 | 11.00% | |
20.76 | 9.67% | |
0.0000456 | 8.31% | |
0.0002135 | -4.73% | |
0.00006741 | 1.49% | |
0.00097 | -3.96% | |
0.00001997 | -0.15% | |
0.0239 | 0.42% | |
0.2420 | -1.02% | |
0.5472 | -12.88% | |
0.01091 | -5.30% | |
0.0602 | 2.38% | |
0.4959 | 13.37% | |
0.00888 | 10.86% | |
16.09 | -1.17% | |
4.8421 | -2.56% | |
0.0140 | 9.38% | |
1.7358 | -0.25% | |
0.00228 | -1.72% | |
0.470 | -0.63% | |
0.0605 | -2.10% | |
0.00013797 | -0.38% | |
1.0696 | -0.20% | |
0.00950 | 10.72% | |
0.1096 | -0.90% | |
0.0004455 | 20.99% | |
0.01250 | 0.32% | |
0.01099 | 0.00% | |
0.000000001719 | 5.78% | |
0.0062 | -4.62% | |
0.001171 | -3.94% | |
0.01115 | 3.82% | |
0.0833 | -3.14% | |
0.01517 | 1.00% | |
0.012160 | 0.00% | |
0.0000950 | 0.42% | |
0.0000161 | 14.18% | |
0.0475 | -5.94% | |
0.0009530 | 7.61% | |
0.0002921 | 2.67% | |
0.0000000130 | -5.11% | |
0.001114 | -10.31% | |
0.410 | -0.24% | |
0.00312546 | 4.28% | |
0.01780 | 0.39% | |
0.000345 | 15.38% | |
0.00192 | 481.82% | |
0.0000241 | 1.26% | |
0.04377 | 3.84% | |
0.01845 | 9.04% | |
0.04999 | -6.49% | |
307.9 | 2.77% | |
0.00004011 | -12.80% | |
0.0265 | 1.53% | |
0.000098 | 7.69% | |
0.0000000742 | -11.35% | |
0.0018889 | -2.38% | |
0.001751 | -2.51% | |
0.000200 | -9.50% | |
0.0000000384 | 1.59% | |
0.001974 | -1.30% | |
0.015910 | -14.27% | |
0.3364 | 1.02% | |
0.02468 | -6.41% | |
4.47 | -2.83% | |
0.000452 | -6.80% | |
0.0482 | 0.63% | |
0.00933 | 0.43% | |
0.3326 | -3.00% | |
0.0002453 | 1.70% | |
0.00599 | -1.80% | |
0.00220 | -6.78% | |
2.961 | 1.54% | |
0.005561 | 1.46% | |
0.000817 | -0.85% | |
0.00955 | 6.11% | |
0.1658 | -6.01% | |
0.0808 | 0.37% | |
0.011337 | 4.30% | |
0.00528 | -0.38% | |
0.002176 | 10.01% | |
0.4460 | -3.00% | |
0.0000580 | -0.17% | |
0.0212 | -6.19% | |
0.004253 | 8.36% | |
0.04010 | -1.67% | |
0.8052 | 21.87% | |
0.00000001135 | 1.43% | |
0.1024 | -2.94% | |
0.3443 | -0.17% | |
11.03 | 2.13% | |
0.002858 | 3.81% | |
0.0110 | 2.80% | |
0.02337 | 2.95% | |
0.515 | -1.15% | |
0.003111 | -22.21% | |
0.006409 | -0.85% | |
0.002287 | -0.35% | |
0.0040 | 0.00% | |
0.540 | 0.75% | |
0.01340 | 3.24% | |
15.20 | 1.27% | |
0.010990 | -8.32% | |
0.04189 | -7.49% | |
0.2389 | -2.69% | |
0.01066 | 0.38% | |
0.0179 | 7.19% | |
0.03370 | -3.05% | |
0.06104 | -0.21% | |
0.000001462 | 3.98% | |
0.02610 | -0.08% | |
0.1220 | -1.69% | |
0.1331 | -0.22% | |
0.02859 | 3.29% | |
0.012955 | 1.82% | |
0.002561 | 5.52% | |
0.006258 | 7.25% | |
0.5514 | 1.30% | |
0.00000001397 | 6.72% | |
0.2936 | -4.86% | |
0.003444 | -30.90% | |
0.1046 | -8.00% | |
0.001498 | -3.97% | |
0.000194315 | -3.14% | |
0.06963 | 2.40% | |
3.476 | -0.91% | |
0.02420 | -5.25% | |
0.0000561 | -4.75% | |
0.0623 | 2.30% | |
0.003179 | -22.78% | |
0.0000000771 | 6.34% | |
0.00560 | -6.67% | |
0.0546 | -7.46% | |
0.001475 | 4.68% | |
0.00000000001291 | -35.45% | |
0.0000000001876 | 2.96% | |
0.002371 | -4.28% | |
6.48 | 1.09% | |
0.00200 | 47.06% | |
27.14 | 0.82% | |
0.249579 | -0.31% | |
0.0515 | 0.19% | |
5.354 | 0.96% | |
0.002894 | -1.50% | |
0.003108 | -1.68% | |
0.0001886 | 2.78% | |
0.0087 | -3.33% | |
0.00672 | -1.75% | |
0.0095 | 6.74% | |
0.1935 | -2.03% | |
0.0511 | -40.86% | |
0.004320 | -13.94% | |
0.00000349 | -1.41% | |
0.0969 | 1.04% | |
0.002848 | 3.56% | |
0.00000398 | -5.01% | |
0.003982 | 1.95% | |
0.003836 | 13.12% | |
0.0004140 | 6.13% | |
0.0003885 | 18.45% | |
0.001935 | 5.22% | |
0.000189 | -12.90% | |
0.0004626 | -2.32% | |
0.04405 | 2.32% | |
0.0602 | 2.21% | |
0.000910 | -9.09% | |
0.002900 | 38.10% | |
0.09350 | 2.69% | |
8.45 | -0.71% | |
0.2938 | -2.42% | |
0.0003373 | 3.37% | |
0.00016 | -20.00% | |
0.0002546 | 0.04% | |
0.003542 | 17.87% | |
6.3729 | 1.66% | |
0.03831 | 7.85% | |
0.0000002499 | 1.17% | |
0.000777 | -3.84% | |
0.0002022 | -1.12% | |
0.602 | 2.56% | |
31.0000 | 0.00% | |
0.00000013269 | 0.94% | |
0.7607 | -0.11% | |
0.01152 | -2.78% | |
0.000829 | -4.82% | |
0.01402 | 2.56% | |
0.0400 | 1.27% | |
0.4154 | 0.34% | |
2.201 | 8.69% | |
0.002196 | -3.43% | |
0.001775 | 7.06% | |
0.0000020 | 0.00% | |
0.0000544 | -0.91% | |
0.00000001511 | 7.32% | |
0.000033 | -26.67% | |
0.1427 | -1.25% | |
0.0000000507 | 3.68% | |
0.01407 | -6.51% | |
0.481 | 1.26% | |
0.0577 | -0.52% | |
0.0051058 | -0.33% | |
0.01954 | 1.45% | |
0.0052 | -11.86% | |
0.001526 | 0.13% | |
0.0090 | 80.00% | |
0.000090 | 12.50% | |
59.44 | 1.54% | |
0.305 | 0.00% | |
0.10419 | -3.18% | |
16.76 | 1.09% | |
0.0029 | 26.09% | |
0.03350 | -1.73% | |
0.029821 | -0.29% | |
0.00000000003205 | -3.14% | |
0.0099 | 0.00% | |
0.000291 | 0.34% | |
0.716 | 1.99% | |
0.000067 | 21.82% | |
0.5195 | 1.70% | |
0.00852 | -0.93% | |
0.000509 | -3.96% | |
0.763 | 0.00% | |
0.00000013002 | -52.55% | |
0.000000000226 | -1.74% | |
0.1234 | -1.91% | |
0.7595 | -8.45% | |
0.0288 | -4.32% | |
0.0004899 | -4.28% | |
0.017330 | -2.33% | |
0.1854 | -0.54% | |
1.731 | -0.12% | |
0.00000000000344 | -19.06% | |
0.007994 | -0.05% | |
0.0000085 | 3.66% | |
0.00839 | 4.48% | |
0.00704 | -1.81% | |
0.01125 | 0.81% | |
0.1684 | 1.88% | |
0.0000079 | -7.06% | |
0.00211 | -0.47% | |
1.516 | -10.40% | |
0.0486 | 0.62% | |
0.0832 | -1.77% | |
0.00926 | 4.87% | |
0.8472 | -2.05% | |
0.05892 | -1.19% | |
0.0000039 | 0.00% | |
0.04480 | -0.44% | |
0.001634 | -4.28% | |
0.01252 | 9.82% | |
0.05920 | 2.00% | |
0.0155 | 4.73% | |
0.0531 | 0.00% | |
0.000521 | 0.77% | |
0.000000092 | -2.13% | |
0.00003199 | -1.33% | |
0.000494 | 1.02% | |
0.004758 | -0.08% | |
1.313 | 3.30% | |
0.0728 | -4.21% | |
0.0883 | -4.64% | |
0.000261 | 4.40% | |
0.4168 | 2.63% | |
0.00000285 | 0.00% | |
0.01759 | -16.48% | |
0.1104 | -0.63% | |
0.000000000000805 | -9.55% | |
0.000591 | 1.37% | |
0.001012 | 21.93% | |
0.01105 | 6.25% | |
0.001032 | 0.29% | |
0.1718 | 0.82% | |
0.00010000 | -9.08% | |
0.000001835 | -11.61% | |
4.910 | 0.33% | |
0.0559 | 0.54% | |
0.02715 | 0.37% | |
0.2420 | -0.12% | |
0.3024 | 0.67% | |
0.05267 | -8.00% | |
0.0000016894 | 4.57% | |
0.0000000000000136 | 1.49% | |
48.287 | 0.36% | |
0.013000 | -5.30% | |
0.1880 | 1.02% | |
0.6536 | 0.76% | |
0.03695 | -3.07% | |
0.003388 | -0.29% | |
0.001104 | -8.99% | |
1.940 | -0.77% | |
0.388 | 2.65% | |
0.000000451 | 2.97% | |
0.02700 | 0.00% | |
0.2386 | -0.08% | |
0.015660 | 10.89% | |
0.07582 | -4.33% | |
0.664 | 0.76% | |
0.0602 | -1.47% | |
0.000001463 | -0.20% | |
0.00220 | 11.68% | |
0.0412 | -55.56% | |
0.2478 | 1.31% | |
0.5090 | 2.25% | |
0.000000001842 | -3.71% | |
0.00003580 | 16.38% | |
0.0000049 | 6.52% | |
0.0000000625 | -1.57% | |
0.1681 | -4.49% | |
0.0048 | -17.24% | |
0.1891 | -0.53% | |
0.4314 | 3.33% | |
0.001298 | -2.04% | |
0.0006255 | 6.45% | |
0.000000000001511 | 1.41% | |
16.02 | 1.46% | |
0.01036 | -3.99% | |
0.00758 | 0.80% | |
0.003517 | 3.11% | |
0.000849 | -1.39% | |
13.20 | -1.27% | |
0.00009002 | -0.65% | |
0.003653 | -7.52% | |
0.00000016200 | -16.92% | |
0.1211 | 2.89% | |
0.1014 | -12.44% | |
0.00002271 | -1.52% | |
0.002570 | 42.78% | |
12.20 | 1.58% | |
0.00836 | 6.77% | |
0.001104 | 6.67% | |
0.1018 | -2.77% | |
0.000028 | 0.00% | |
1.2227 | 1.33% | |
0.024139 | -0.28% | |
5.47 | 0.18% | |
0.0111 | 0.00% | |
0.0640 | -2.59% | |
0.00835 | -5.54% | |
0.9485 | 1.73% | |
0.05299 | -1.08% | |
0.00000867 | -22.86% | |
2.060 | -5.59% | |
0.0000008 | 0.00% | |
0.00003 | 0.00% | |
0.0763 | -1.55% | |
2.318 | 4.41% | |
0.00487 | 1.88% | |
0.1019 | 0.49% | |
0.0836 | -2.11% | |
0.0000562 | -0.18% | |
0.00000000202 | 11.60% | |
0.04188 | 9.35% | |
0.00285 | -3.06% | |
0.1901 | 0.90% | |
0.05013 | -1.18% | |
0.1035 | 1.07% | |
0.01145 | 1.69% | |
0.0674 | -1.17% | |
0.7836 | 0.38% | |
0.0240 | -4.76% | |
0.1070 | 1.71% | |
0.007399 | -0.03% | |
0.1236 | -0.72% | |
0.00204 | 2.00% | |
0.695 | 16.03% | |
0.01725 | -5.43% | |
0.0055 | -20.29% | |
0.003181 | 7.87% | |
1.402 | 1.30% | |
0.000031 | -24.39% | |
0.0002201 | 0.05% | |
0.9746 | 0.00% | |
0.0000000030216 | 0.00% | |
0.1190 | -2.94% | |
16.04 | 0.69% | |
19.2000 | 1.36% | |
0.001651 | -9.83% | |
0.00152 | 0.00% | |
0.01156 | -2.69% | |
0.05575 | 0.00% | |
0.0391 | -1.76% | |
40.10 | 2.22% | |
4.860 | -0.14% | |
8.22 | -0.84% | |
0.594 | -0.17% | |
0.01513 | -0.53% | |
0.356 | 18.27% | |
0.000092 | 1.10% | |
0.01403 | 4.23% | |
0.000450 | 22.28% | |
0.003101 | -1.05% | |
0.003823 | -2.35% | |
69.8 | 1.31% | |
0.0763 | -1.42% | |
0.0000002355 | 5.32% | |
0.000068 | 119.35% | |
0.03319 | -3.49% | |
0.1157 | -4.06% | |
0.02664 | -1.04% | |
0.02664 | -7.02% | |
0.0000516 | 7.28% | |
1.2346 | 0.42% | |
0.0000512 | -19.24% | |
0.000433 | 0.46% | |
0.001346 | -0.52% | |
0.0946 | -8.60% | |
0.0417 | 0.48% | |
0.0001713 | 5.55% | |
0.003933 | -0.05% | |
0.0000221 | -28.01% | |
0.2063 | -2.60% | |
0.0097 | 203.13% | |
0.000350 | 0.57% | |
0.0077 | 13.24% | |
0.0784 | 0.51% | |
0.0739 | 0.54% | |
0.00072 | -11.11% | |
0.1540 | 0.79% | |
0.00004798 | 7.22% | |
0.0003764 | -9.50% | |
0.00000000000189 | -17.11% | |
0.000000000561 | -22.19% | |
0.000353 | -13.69% | |
0.0009 | 12.50% | |
0.02696 | -2.60% | |
0.00000003581 | 0.90% | |
0.00000000001765 | -7.20% | |
0.001162 | 2.38% | |
0.0005611 | 1.67% | |
0.663 | 1.53% | |
0.008231 | 0.00% | |
0.0175 | 16.67% | |
0.00755 | 0.00% | |
0.00000000000871 | 33.59% | |
0.00151 | -10.65% | |
16.21 | -0.43% | |
0.0006432 | 1.04% | |
0.1556 | -3.05% | |
0.0014 | -60.00% | |
1.984 | 3.06% | |
0.00000006 | -45.45% | |
1.0286 | -3.24% | |
0.0383 | -30.36% | |
0.00000000000015 | -21.05% | |
0.0333 | -0.89% | |
0.0012 | 20.00% | |
9.194 | 0.99% | |
0.00093 | 3.33% | |
0.4450 | 0.00% | |
0.006500 | 116.67% | |
0.01445 | -0.76% | |
0.01541 | 0.59% | |
0.000167 | -2.91% | |
0.2145 | 2.44% | |
0.01782 | 2.59% | |
0.000561 | 0.00% | |
0.01454 | -0.07% | |
0.0306 | 4.44% | |
0.2120 | 0.52% | |
449.00 | -0.22% | |
0.00006 | 0.00% | |
0.00121 | -17.69% | |
15.75 | 1.68% | |
0.1124 | -1.06% | |
0.0073 | -13.10% | |
0.1886 | 0.80% | |
0.000001790 | -15.96% | |
0.000000000004640 | 18.37% | |
0.00012 | 9.09% | |
0.1434 | -0.76% | |
0.588 | -0.17% | |
0.0005 | 0.00% | |
0.00030000 | 0.00% | |
0.04057 | 18.63% | |
0.0005950 | -0.62% | |
0.0000055 | -1.79% | |
1.248 | -2.80% | |
0.005695 | -1.62% | |
0.0000101 | -15.13% | |
0.0000069538 | 0.00% | |
0.000001656 | 4.09% | |
0.00004173 | -4.44% | |
0.1676 | 1.64% | |
0.0335 | -13.44% | |
0.0004010 | -0.35% | |
0.0092 | -2.13% | |
0.03790 | 1.31% | |
0.0003106 | 1.24% | |
0.000022 | -8.33% | |
0.004168 | -0.83% | |
0.002026 | -0.20% | |
0.0000192 | -9.00% | |
0.1734 | 1.46% | |
0.3242 | -10.04% | |
0.0002998 | -14.22% | |
0.000870 | 5.33% | |
0.0006 | 0.00% | |
0.003512 | -9.48% | |
0.00000000000013 | -7.14% | |
0.0001 | 0.00% | |
0.0000000000000158 | -4.24% | |
0.01527 | 0.46% | |
0.1166 | -2.43% | |
0.00113 | 0.00% | |
0.002169 | -2.56% | |
2.413 | -7.12% | |
0.000448 | 0.00% | |
0.01743 | 1.40% | |
0.2402 | -2.20% | |
0.0015 | -16.67% | |
0.0000579 | 0.00% | |
0.003317 | 24.79% | |
0.0071 | 0.00% | |
0.2166 | 0.00% | |
0.00679 | -0.29% | |
1.72 | 0.58% | |
0.00008822 | 0.60% | |
0.0217 | 1.88% | |
0.000092 | 0.00% | |
0.0297 | -0.34% | |
0.001595 | -1.05% | |
0.0304 | -5.88% | |
0.02100 | 32.08% | |
0.1001 | 1.62% | |
0.000000000021 | 50.00% | |
0.00000000000231 | -4.55% | |
0.1190 | -0.42% | |
0.004390 | -12.20% | |
0.0023 | 0.00% | |
0.000063 | 1.61% | |
0.0000078 | 8.33% | |
0.0974 | 0.72% | |
0.000000000787 | -0.38% | |
0.0000002930 | 0.17% | |
0.000000000104 | 5.05% | |
0.9900 | 0.00% | |
0.04768 | 7.70% | |
0.00069 | 9.52% | |
0.00639 | -17.65% | |
0.02049 | -0.05% | |
0.07162 | -2.95% | |
0.003325 | -0.98% | |
0.1520 | 0.00% | |
0.00150 | -11.76% | |
0.000266 | 0.00% | |
0.000000001868 | 0.00% | |
0.1161 | -0.26% | |
0.00000000000102 | 0.99% | |
0.0000301 | -37.68% | |
0.00000000001042 | -1.04% | |
0.001597 | -1.54% | |
0.2465 | -0.08% | |
0.000000000763 | -0.52% | |
0.0005907 | 2.32% | |
0.0000979 | -10.84% | |
0.00000000016003 | 0.64% | |
0.0003914 | 11.92% | |
0.00000000031 | -41.51% | |
0.000022 | 0.00% | |
0.0000000042 | -6.67% | |
1.810 | 0.84% | |
0.00786 | 5.36% | |
0.00000000003692 | 3.94% | |
0.00400 | 3.90% | |
0.000000000447 | -14.86% | |
0.0103 | 0.00% | |
0.000000037 | -7.50% | |
0.0009 | 50.00% | |
0.00000240 | 1.69% | |
0.00023474 | -1.56% | |
0.000055 | -1.79% | |
0.0000111 | 0.00% | |
0.0414 | -0.48% | |
0.000024 | 33.33% | |
0.00004 | 0.00% | |
0.000035 | -43.55% | |
0.01428 | 8.84% | |
0.0009 | -40.00% | |
0.000000000009 | 12.50% | |
0.000000008399 | -0.01% | |
0.0624 | -2.50% | |
0.00000056 | 9.80% | |
0.00022 | -4.35% | |
0.0001320 | 0.00% | |
0.000110 | -23.61% | |
0.00000000000093 | -3.13% | |
1.267 | 0.16% | |
0.0651 | 0.00% | |
0.0601 | 5.07% | |
0.0005374 | -2.66% | |
0.01645 | -3.41% | |
0.000682 | 0.44% | |
0.2769 | -0.36% | |
0.3612 | 2.47% | |
0.01166 | -3.40% | |
0.5400 | 0.54% | |
0.4263 | -0.56% | |
0.09326 | 0.39% | |
0.02833 | 5.91% | |
0.2711 | -2.90% | |
0.00003585 | 5.57% | |
0.2853 | 0.60% | |
0.00011 | 0.00% | |
0.6634 | -1.35% | |
0.002114 | 0.62% | |
1.017 | 0.00% | |
0.2115 | -0.94% | |
58.5600 | 0.00% | |
0.001033 | -5.75% | |
0.0001451 | 0.07% | |
0.0465 | 4.73% | |
6.061 | -4.48% | |
0.000890 | -3.58% | |
0.02839 | -0.39% | |
0.0759 | -2.44% | |
18.004 | 2.66% | |
0.004584 | -0.56% | |
0.0009012 | 0.00% | |
0.17977 | 5.28% | |
0.005246 | 2.92% | |
0.00699 | 0.00% | |
0.0007993 | 0.00% | |
6.093 | 2.20% | |
0.2150 | 7.18% | |
0.001719 | -5.81% | |
0.02545 | -7.59% | |
0.001264 | 0.96% | |
2.6639 | -1.48% | |
0.002898 | 3.35% | |
0.02044 | 4.50% | |
0.0000467 | 0.00% | |
0.002428 | -5.53% | |
0.002374 | -5.12% | |
0.0013 | 0.00% | |
0.000113 | 1.80% | |
0.4991 | 1.63% | |
0.000880 | 5.14% | |
0.1224 | -0.33% | |
0.02663 | -0.26% | |
0.00404 | 2.80% | |
0.00502 | 14.87% | |
0.0751 | -9.19% | |
0.00913 | -2.14% | |
3.8900 | 0.00% | |
0.001113 | -1.24% | |
0.1033 | -5.49% | |
0.1745 | 0.52% | |
0.3771 | 0.00% | |
0.541 | -1.46% | |
0.5732 | 0.00% | |
0.0487 | -4.70% | |
2.701 | -2.56% | |
0.000000049 | 0.00% | |
0.1350 | 1.43% | |
0.00083 | 0.00% | |
0.617 | -0.80% | |
0.6359 | 2.42% | |
0.0713 | -0.42% | |
0.0738 | -1.07% | |
0.001099 | 1.38% | |
0.00000080 | 0.00% | |
0.00000000000041 | 0.00% | |
0.00006800 | 0.00% | |
0.000216 | 0.00% | |
0.451 | 0.89% | |
1.427 | 0.21% | |
1.5000 | 0.00% | |
3.9889 | 0.00% | |
0.0783 | -0.25% | |
1.1371 | 0.00% | |
0.867 | 0.46% | |
5.658 | 1.40% | |
0.000078 | -1.27% | |
0.02219 | -0.85% | |
0.4424 | 0.00% | |
0.0328 | -2.38% | |
0.0373 | 2.47% | |
0.000356 | -5.32% | |
0.2006 | 1.16% | |
0.0071 | 0.00% | |
0.2674 | 0.68% | |
0.000210 | 0.00% | |
0.2639 | -0.15% | |
0.0230 | 1.32% | |
0.1465 | 0.14% | |
6.68 | 0.00% | |
0.003909 | 1.37% | |
0.2342 | -0.97% | |
0.000452 | 0.00% | |
0.1987 | -0.70% | |
0.000000002465 | 2.79% | |
0.000190322 | 2.93% | |
0.00000043 | 4.88% | |
0.1204 | 0.00% | |
2.721 | -0.29% | |
1.041 | 1.17% | |
0.004000 | 0.00% | |
0.000300 | 0.00% | |
0.00035 | 0.00% | |
0.011926 | 0.00% | |
0.0000193 | 0.00% | |
0.4593 | 0.00% | |
0.001100 | 0.00% | |
0.000365 | 0.00% | |
0.001880 | 0.00% | |
0.0063 | 0.00% | |
0.0000002593 | 0.00% | |
0.00001584 | 0.00% | |
0.0000001013 | 0.00% | |
0.00006187 | 0.00% | |
0.001405 | 0.00% | |
0.000495 | -8.33% | |
0.000902 | 0.00% | |
0.0001 | 0.00% | |
0.0009 | 0.00% | |
0.0560 | 0.00% | |
0.0116 | -0.85% | |
0.00000103 | 0.00% | |
0.0000000104 | 0.00% | |
0.00000005 | -16.67% | |
0.00000000001605 | 0.00% | |
0.001000 | 0.00% | |
0.0000000106 | 0.00% | |
0.000000000375 | 0.00% | |
0.0063 | 0.00% | |
0.000310 | 0.00% | |
0.3284 | 0.00% | |
0.0055 | 0.00% | |
0.000405 | 0.00% | |
-- | -- | |
0.00000011 | 0.00% | |
0.0000006594 | 0.00% | |
0.001000 | 0.00% | |
0.001000 | 0.00% | |
0.000058 | 0.00% | |
1.6799 | 0.00% | |
0.00000000002387 | 0.00% | |
0.00425 | 0.00% | |
0.0007663 | 0.56% | |
0.000112 | 0.00% | |
0.00037 | 0.00% | |
0.001963 | 0.00% | |
0.00000055 | 0.00% | |
0.2993 | 0.00% | |
0.00006767 | 0.00% | |
0.001263 | 0.00% | |
0.001210 | 0.00% | |
0.00171 | 0.00% | |
0.0195 | 0.00% | |
0.05056 | 0.00% | |
0.000024 | 0.00% | |
0.001234 | 0.00% | |
0.0066 | 0.00% | |
0.0004 | 0.00% | |
0.0007 | 0.00% | |
0.0240 | 0.00% | |
0.000522 | 0.00% | |
0.9990 | 0.00% | |
0.006490 | 0.00% | |
0.000363 | 0.00% | |
0.0012 | 0.00% | |
6.2788 | 0.00% | |
0.001000 | 0.00% | |
0.0192 | 0.00% | |
0.0006 | 0.00% | |
0.0786 | 0.00% | |
0.001200 | 0.00% | |
0.00000000000540 | 0.00% | |
0.000028 | 0.00% | |
0.000999 | 0.00% | |
0.001801 | 0.00% | |
0.0200 | 0.00% | |
0.0093 | 0.00% | |
0.0006 | 0.00% | |
65.1101 | 0.00% | |
3.7189 | 0.00% | |
0.000082 | 0.00% | |
0.016111 | 0.00% | |
4.1000 | 0.00% | |
0.0489 | 0.00% | |
0.00008773 | 0.00% | |
0.0131 | 0.00% | |
4.4022 | 0.00% | |
0.0745 | 0.00% | |
0.001120 | 0.00% | |
0.000412 | 0.00% | |
0.001100 | 0.00% | |
0.3882 | 0.00% | |
0.001000 | 0.00% | |
0.076250 | 0.00% | |
0.0150 | 0.00% | |
0.0036 | 0.00% | |
0.001823 | 0.11% | |
0.1769 | 0.00% | |
2.2869 | 0.00% | |
0.0000000204 | 3.03% | |
0.000258 | 0.00% | |
0.000701 | 0.00% | |
0.03000 | 0.00% | |
0.000946 | 0.00% | |
0.4820 | 0.00% | |
0.0490 | 0.00% | |
0.0096 | 0.00% | |
0.004158 | -6.25% | |
1.76670591 | 0.00% | |
0.000399 | 0.00% | |
0.0000000000270 | 0.00% | |
0.0000002850 | 0.00% | |
0.6700 | 0.00% | |
0.00011 | 0.00% | |
0.000835 | 0.00% | |
0.00006 | 0.00% | |
0.01989 | 0.00% | |
0.0017 | 0.00% | |
0.0014 | 0.00% | |
0.2888 | 0.00% | |
0.00501 | 0.00% | |
0.0650 | 0.00% | |
0.00125 | 0.00% | |
1.0100 | 0.00% | |
0.010200 | 0.00% | |
0.88686 | 0.00% | |
0.03644 | 0.00% | |
0.0000164 | 0.00% | |
0.1723 | 0.00% | |
0.01463 | 0.00% | |
0.00614 | 0.00% | |
0.4606 | 0.00% | |
0.001800 | 0.00% | |
0.00126 | 0.00% | |
0.000001000 | 0.00% | |
104.52 | 0.00% | |
0.0000008 | 0.00% | |
1.3122 | -0.30% | |
0.00390 | 0.00% | |
0.0000194 | 0.00% | |
0.0000325 | 0.00% | |
1.0000 | 0.00% | |
0.00460 | 0.00% | |
0.34211 | 0.00% | |
0.00130 | 0.00% | |
0.0000077 | 0.00% | |
0.0005 | 0.00% | |
0.001277 | 0.00% | |
0.03520 | 0.00% | |
0.0000023 | 0.00% | |
0.000000005 | 0.00% | |
0.001200 | 0.00% | |
0.001518 | 0.00% | |
0.000313 | 0.00% | |
0.0000032 | 0.00% | |
0.0007000 | 0.00% | |
0.00200 | 0.00% | |
0.000000000568 | 0.00% | |
0.0048 | 0.00% | |
0.3905 | 0.00% | |
0.000495 | 0.00% | |
0.00046 | 0.00% | |
0.249 | 0.00% | |
0.00041 | 0.00% | |
0.00013699 | 0.00% | |
0.0000063 | 0.00% | |
0.001745 | 0.00% | |
0.00625 | 0.00% | |
0.0900 | 0.00% | |
0.00006 | 0.00% | |
0.000506 | 0.00% | |
1939.10 | 0.00% | |
0.01030 | 0.00% | |
3.7449 | 0.00% | |
0.00233 | 0.00% | |
0.00070 | 0.00% | |
0.000288 | 0.00% | |
0.0000269 | 0.00% | |
0.0000000500 | 0.00% | |
0.0000001300 | 0.00% | |
0.000900 | 0.00% | |
0.000426832 | 0.00% | |
0.00002803 | 0.00% | |
0.0810 | 0.00% | |
0.0000245 | 0.00% | |
0.000064 | 0.00% | |
0.1197 | 0.00% | |
0.00056 | 0.00% | |
0.0030487 | 0.00% | |
0.000003726 | 0.00% | |
0.000510 | 0.00% | |
0.00200 | 0.00% | |
0.0001100 | 0.00% | |
0.3101 | 0.00% | |
1.4371 | 0.00% | |
0.0002100 | 0.00% | |
0.0000257 | 0.00% | |
0.00625 | 0.00% | |
0.6003 | 0.00% | |
1899.00 | 0.00% | |
0.002686 | 0.00% | |
0.250 | 0.00% | |
0.3362 | -0.03% | |
0.001106 | 0.00% | |
0.0249 | 0.00% | |
0.6608 | 0.00% | |
0.00500 | 0.00% | |
3.58 | 0.00% | |
0.00984 | 0.82% | |
0.00538 | 0.00% | |
0.4279 | -2.44% | |
5155.00 | 0.00% | |
1.205 | 1.60% | |
1.335 | 0.60% | |
0.0091 | 0.00% | |
22.567 | 1.48% |