Privacy-preserving supply chain verification for multiple asset types in shared data storage scenarios

1. A computer-implemented method for privacy-preserving verification of a product claim for a product provided from a supply chain, the method being executed by one or more processors and comprising:

receiving, by a system of a re-encryption party, an index and a first set of random numbers from a computing device of a verifier, the first set of random numbers comprising one or more random numbers;

receiving, by the system of the re-encryption party and from a shared data storage, encrypted supply chain data (SCD) of a supply chain actor (SCA);

re-encrypting, by the system of the re-encryption party, the encrypted SCD to provide re-encrypted SCD, the encrypted SCD being re-encrypted under a public encryption key of a decryption party;

executing, by the system of the re-encryption party, one or more homomorphic operations on the re-encrypted SCD to provide an encrypted blinded result using a second set of random numbers;

receiving, by the system of the re-encryption party and from a system of the decryption party, an encrypted modified blinded result;

generating, by the system of the re-encryption party, an encrypted blinded verification result using a verification function, the encrypted blinded result, the encrypted modified blinded result, and the first set of random numbers; and

sending, from the system of the re-encryption party to the system of the decryption party, the encrypted blinded verification result, the system of the decryption party decrypting the encrypted blinded verification result to provide a blinded verification result to the computing device of the verifier, the computing device determining a verification result based on the blinded verification result and the first set of random numbers, and comparing the verification result to the product claim.

2. The method of claim 1 , wherein the encrypted SCD is determined from the shared data storage by traversing entries to an entry of the SCA, the entry storing the encrypted SCD.

3. The method of claim 1 , wherein the encrypted blinded verification result is at least partially generated by:

providing an encrypted verification result from the verification function; and

executing at least one homomorphic operation on the encrypted verification result using the first set of random numbers to provide the encrypted blinded verification result.

4. The method of claim 1 , wherein the system of the decryption party generates the encrypted modified blinded result by:

receiving the encrypted blinded result from the system of the re-encryption party;

decrypting, using a secret decryption key of the decryption party, the encrypted blinded result to provide a blinded result;

executing a mathematical operation on the blinded result to provide a modified blinded result; and

encrypting the modified blinded result using the public encryption key of the decryption party to provide the encrypted modified blinded result.

5. The method of claim 1 , wherein the second set of random numbers comprises a first random number and a second random number, the first random number being exponentially larger than the second random number and the second random number being greater than zero.

6. The method of claim 1 , wherein the encrypted SCD is encrypted with a public encryption key of the SCA.

7. The method of claim 1 , wherein the shared data storage comprises a distributed ledger.

8. A non-transitory computer-readable storage medium coupled to one or more processors and having instructions stored thereon which, when executed by the one or more processors, cause the one or more processors to perform operations for privacy-preserving verification of a product claim for a product provided from a supply chain, the operations comprising:

receiving, by a system of a re-encryption party, an index and a first set of random numbers from a computing device of a verifier, the first set of random numbers comprising one or more random numbers;

receiving, by the system of the re-encryption party and from a shared data storage, encrypted supply chain data (SCD) of a supply chain actor (SCA);

re-encrypting, by the system of the re-encryption party; the encrypted SCD to provide re-encrypted SCD, the encrypted SCD being re-encrypted under a public encryption key of a decryption party;

executing, by the system of the re-encryption party, one or more homomorphic operations on the re-encrypted SCD to provide an encrypted blinded result using a second set of random numbers;

receiving, by the system of the re-encryption party and from a system of the decryption party, an encrypted modified blinded result;

generating, by the system of the re-encryption party, an encrypted blinded verification result using a verification function, the encrypted blinded result, the encrypted modified blinded result, and the first set of random numbers; and

sending, from the system of the re-encryption party to the system of the decryption party, the encrypted blinded verification result, the system of the decryption party decrypting the encrypted blinded verification result to provide a blinded verification result to the computing device of the verifier, the computing device determining a verification result based on the blinded verification result and the first set of random numbers, and comparing the verification result to the product claim.

9. The non-transitory computer-readable storage medium of claim 8 ; wherein the encrypted SCD is determined from the shared data storage by traversing entries to an entry of the SCA, the entry storing the encrypted SCD.

10. The non-transitory computer-readable storage medium of claim 8 , wherein the encrypted blinded verification result is at least partially generated by:

providing an encrypted verification result from the verification function; and

executing at least one homomorphic operation on the encrypted verification result using the first set of random numbers to provide the encrypted blinded verification result.

11. The non-transitory computer-readable storage medium of claim 8 , wherein the system of the decryption party generates the encrypted modified blinded result by:

receiving the encrypted blinded result from the system of the re-encryption party;

decrypting, using a secret decryption key of the decryption party, the encrypted blinded result to provide a blinded result;

executing a mathematical operation on the blinded result to provide a modified blinded result; and

encrypting the modified blinded result using the public encryption key of the decryption party to provide the encrypted modified blinded result.

12. The non-transitory computer-readable storage medium of claim 8 , wherein the second set of random numbers comprises a first random number and a second random number, the first random number being exponentially larger than the second random number and the second random number being greater than zero.

13. The non-transitory computer-readable storage medium of claim 8 , wherein the encrypted SCD is encrypted with a public encryption key of the SCA.

14. The non-transitory computer-readable storage medium of claim 8 , wherein the shared data storage comprises a distributed ledger.

15. A system, comprising:

a computing device; and

a computer-readable storage device coupled to the computing device and having instructions stored thereon which, when executed by the computing device, cause the computing device to perform operations for privacy-preserving verification of a product claim for a product provided from a supply chain, the operations comprising:

receiving, by a system of a re-encryption party, an index and a first set of random numbers from a computing device of a verifier, the first set of random numbers comprising one or more random numbers;

receiving, by the system of the re-encryption party and from a shared data storage, encrypted supply chain data (SCD) of a supply chain actor (SCA);

re-encrypting, by the system of the re-encryption party, the encrypted SCD to provide re-encrypted SCD, the encrypted SCD being re-encrypted under a public encryption key of a decryption party;

executing, by the system of the re-encryption party, one or more homomorphic operations on the re-encrypted SCD to provide an encrypted blinded result using a second set of random numbers;

receiving, by the system of the re-encryption party and from a system of the decryption party, an encrypted modified blinded result;

generating, by the system of the re-encryption party, an encrypted blinded verification result using a verification function, the encrypted blinded result, the encrypted modified blinded result, and the first set of random numbers; and

sending, from the system of the re-encryption party to the system of the decryption party, the encrypted blinded verification result, the system of the decryption party decrypting the encrypted blinded verification result to provide a blinded verification result to the computing device of the verifier, the computing device determining a verification result based on the blinded verification result and the first set of random numbers, and comparing the verification result to the product claim.

16. The system of claim 15 , wherein the encrypted SCD is determined from the shared data storage by traversing entries to an entry of the SCA, the entry storing the encrypted SCD.

17. The system of claim 15 , wherein the encrypted blinded verification result is at least partially generated by:

providing an encrypted verification result from the verification function; and

executing at least one homomorphic operation on the encrypted verification result using the first set of random numbers to provide the encrypted blinded verification result.

18. The system of claim 15 , wherein the system of the decryption party generates the encrypted modified blinded result by:

receiving the encrypted blinded result from the system of the re-encryption party;

decrypting, using a secret decryption key of the decryption party, the encrypted blinded result to provide a blinded result;

executing a mathematical operation on the blinded result to provide a modified blinded result; and

encrypting the modified blinded result using the public encryption key of the decryption party to provide the encrypted modified blinded result.

19. The system of claim 15 , wherein the second set of random numbers comprises a first random number and a second random number, the first random number being exponentially larger than the second random number and the second random number being greater than zero.

20. The system of claim 15 , wherein the encrypted SCD is encrypted with a public encryption key of the SCA.