Triple

T22965041
Position Surface form Disambiguated ID Type / Status
Subject Bombieri–Lang conjecture E571015 entity
Predicate relatedTo P37 FINISHED
Object Vojta conjectures 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: Vojta conjectures | Statement: [Bombieri–Lang conjecture, relatedTo, Vojta conjectures]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Vojta conjectures
Context triple: [Bombieri–Lang conjecture, relatedTo, Vojta conjectures]
  • A. Vojta’s conjectures chosen
    Vojta’s conjectures are a collection of deep conjectures in Diophantine geometry that generalize and unify results in number theory and Nevanlinna theory, with far-reaching implications including those related to the abc conjecture.
  • B. Szpiro conjecture
    The Szpiro conjecture is a deep unproven statement in arithmetic geometry about the relationship between the discriminant and conductor of elliptic curves over the rationals, and is known to be essentially equivalent to the abc conjecture.
  • C. Weil conjectures
    The Weil conjectures are a set of deep statements about the zeta functions of algebraic varieties over finite fields that guided the development of modern algebraic geometry and were ultimately proved using étale cohomology.
  • D. Bombieri–Lang conjecture
    The Bombieri–Lang conjecture is a major unsolved conjecture in number theory and arithmetic geometry predicting that varieties of general type over number fields have only finitely many rational points.
  • E. Mauldin’s conjecture
    Mauldin’s conjecture, more commonly known as the Beal conjecture, is an unsolved problem in number theory asserting that any solution in positive integers to A^x + B^y = C^z with exponents greater than 2 must have A, B, and C sharing a common prime factor.
  • 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_69e245b212a88190b5259caf51606084 completed April 17, 2026, 2:37 p.m.
NER Named-entity recognition batch_69f181f763688190aab8f444a1a71577 completed April 29, 2026, 3:58 a.m.
Created at: April 17, 2026, 3:47 p.m.