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.