Triple
T20578247
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Blum integer |
E505280
|
entity |
| Predicate | usedIn |
P98
|
FINISHED |
| Object | Goldwasser–Micali cryptosystem |
—
|
NE NERFINISHED |
How this triple was built (3 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Goldwasser–Micali cryptosystem | Statement: [Blum integer, usedIn, Goldwasser–Micali cryptosystem]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Goldwasser–Micali cryptosystem Context triple: [Blum integer, usedIn, Goldwasser–Micali cryptosystem]
-
A.
Naor–Yung encryption paradigm
The Naor–Yung encryption paradigm is a foundational cryptographic framework that uses double encryption and zero-knowledge proofs to transform semantically secure public-key schemes into ones secure against chosen-ciphertext attacks.
-
B.
Massey–Omura cryptosystem
The Massey–Omura cryptosystem is a public-key encryption scheme based on exponentiation in finite fields that enables secure communication without prior key exchange.
-
C.
Cramer–Shoup cryptosystem
The Cramer–Shoup cryptosystem is a public-key encryption scheme designed to be secure against adaptive chosen-ciphertext attacks, improving on earlier systems like ElGamal in terms of robustness and security guarantees.
-
D.
Rabin cryptosystem
The Rabin cryptosystem is a public-key encryption scheme based on the hardness of integer factorization, notable for its provable security equivalence to factoring and its similarity to RSA.
-
E.
Naor–Reingold pseudorandom function
The Naor–Reingold pseudorandom function is a foundational cryptographic construction that provides a simple, efficient, and provably secure method for generating pseudorandom outputs from secret keys based on number-theoretic assumptions.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Goldwasser–Micali cryptosystem Target entity description: The Goldwasser–Micali cryptosystem is a pioneering probabilistic public-key encryption scheme that provides semantic security by encrypting each bit of a message using quadratic residuosity assumptions.
-
A.
Naor–Yung encryption paradigm
The Naor–Yung encryption paradigm is a foundational cryptographic framework that uses double encryption and zero-knowledge proofs to transform semantically secure public-key schemes into ones secure against chosen-ciphertext attacks.
-
B.
Massey–Omura cryptosystem
The Massey–Omura cryptosystem is a public-key encryption scheme based on exponentiation in finite fields that enables secure communication without prior key exchange.
-
C.
Cramer–Shoup cryptosystem
The Cramer–Shoup cryptosystem is a public-key encryption scheme designed to be secure against adaptive chosen-ciphertext attacks, improving on earlier systems like ElGamal in terms of robustness and security guarantees.
-
D.
Rabin cryptosystem
The Rabin cryptosystem is a public-key encryption scheme based on the hardness of integer factorization, notable for its provable security equivalence to factoring and its similarity to RSA.
-
E.
Naor–Reingold pseudorandom function
The Naor–Reingold pseudorandom function is a foundational cryptographic construction that provides a simple, efficient, and provably secure method for generating pseudorandom outputs from secret keys based on number-theoretic assumptions.
- F. None of above. chosen
Provenance (2 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e0b4b721588190993ac7b0a9be2736 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e6a90cc22c8190969e3a21ae92f1c9 |
completed | April 20, 2026, 10:30 p.m. |
Created at: April 16, 2026, 11:39 a.m.