Triple

T18479106
Position Surface form Disambiguated ID Type / Status
Subject fundamental theorem of arithmetic E451510 entity
Predicate dependsOn P100 FINISHED
Object Euclidean algorithm — NE NERFINISHED

How this triple was built (2 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: Euclidean algorithm | Statement: [fundamental theorem of arithmetic, dependsOn, Euclidean algorithm]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Euclidean algorithm
Context triple: [fundamental theorem of arithmetic, dependsOn, Euclidean algorithm]
  • A. EGCD
    EGCD is the ICAO airport code for Woodford Aerodrome, a former airfield in Woodford, Greater Manchester, England.
  • B. Euclidean algorithm for polynomials chosen
    The Euclidean algorithm for polynomials is a procedure that repeatedly applies polynomial division to compute the greatest common divisor of two polynomials over a given field or ring.
  • C. GCD
    GCD is Apple’s low-level concurrency and task scheduling framework used to manage asynchronous operations efficiently across multiple cores.
  • D. Berlekamp–Massey algorithm
    The Berlekamp–Massey algorithm is a key algorithm in coding theory and cryptography used to efficiently determine the shortest linear feedback shift register that generates a given binary sequence.
  • E. Miller algorithm
    The Miller algorithm is an efficient computational method used in elliptic curve cryptography to evaluate pairings such as the Weil and Tate pairings.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69d8d38465a0819099b9b42d2a662ac1 completed April 10, 2026, 10:40 a.m.
NER Named-entity recognition batch_69e53065e8388190bb216dae89f8cf75 completed April 19, 2026, 7:43 p.m.
Created at: April 10, 2026, 11:35 a.m.