Triple

T11438097
Position Surface form Disambiguated ID Type / Status
Subject Andrew Yao E271060 entity
Predicate notableWork P4 FINISHED
Object “Theory and applications of trapdoor functions”
“Theory and applications of trapdoor functions” is a foundational cryptography paper by Andrew Yao that formalizes trapdoor functions and demonstrates their use in constructing secure cryptographic protocols.
E926128 NE FINISHED

How this triple was built (4 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: “Theory and applications of trapdoor functions” | Statement: [Andrew Yao, notableWork, “Theory and applications of trapdoor functions”]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: “Theory and applications of trapdoor functions”
Context triple: [Andrew Yao, notableWork, “Theory and applications of trapdoor functions”]
  • A. New Directions in Cryptography
    New Directions in Cryptography is a landmark 1976 paper that introduced the concepts of public-key cryptography and digital signatures, fundamentally reshaping modern cryptography and secure communications.
  • B. Secrecy, Authentication, and Public Key Systems
    "Secrecy, Authentication, and Public Key Systems" is Ralph Merkle's influential doctoral thesis that helped lay the foundations of modern public-key cryptography and secure communication protocols.
  • C. 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.
  • D. 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.
  • E. Merkle–Hellman knapsack cryptosystem
    The Merkle–Hellman knapsack cryptosystem is an early public-key encryption scheme based on the subset sum (knapsack) problem, historically significant as one of the first practical public-key systems though later found to be insecure.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: “Theory and applications of trapdoor functions”
Triple: [Andrew Yao, notableWork, “Theory and applications of trapdoor functions”]
Generated description
“Theory and applications of trapdoor functions” is a foundational cryptography paper by Andrew Yao that formalizes trapdoor functions and demonstrates their use in constructing secure cryptographic protocols.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: “Theory and applications of trapdoor functions”
Target entity description: “Theory and applications of trapdoor functions” is a foundational cryptography paper by Andrew Yao that formalizes trapdoor functions and demonstrates their use in constructing secure cryptographic protocols.
  • A. New Directions in Cryptography
    New Directions in Cryptography is a landmark 1976 paper that introduced the concepts of public-key cryptography and digital signatures, fundamentally reshaping modern cryptography and secure communications.
  • B. Secrecy, Authentication, and Public Key Systems
    "Secrecy, Authentication, and Public Key Systems" is Ralph Merkle's influential doctoral thesis that helped lay the foundations of modern public-key cryptography and secure communication protocols.
  • C. 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.
  • D. 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.
  • E. Merkle–Hellman knapsack cryptosystem
    The Merkle–Hellman knapsack cryptosystem is an early public-key encryption scheme based on the subset sum (knapsack) problem, historically significant as one of the first practical public-key systems though later found to be insecure.
  • F. None of above. chosen

Provenance (5 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_69d6aadeef688190874bcecd88b3dd9b completed April 8, 2026, 7:22 p.m.
NER Named-entity recognition batch_69d8088711ec8190afae9f4d9f2a11ca completed April 9, 2026, 8:13 p.m.
NED1 Entity disambiguation (via context triple) batch_69e5d38727fc8190b5daac83e03491e6 completed April 20, 2026, 7:19 a.m.
NEDg Description generation batch_69e5d5cac9108190b7756329bfa320d3 completed April 20, 2026, 7:29 a.m.
NED2 Entity disambiguation (via description) batch_69e5d7fd235081909870476cbc9817b2 completed April 20, 2026, 7:38 a.m.
Created at: April 8, 2026, 9:35 p.m.