Triple

T1523319
Position Surface form Disambiguated ID Type / Status
Subject Millennium Prize Problem E32278 entity
Predicate hasProblem P9106 FINISHED
Object Riemann Hypothesis E47346 NE FINISHED

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: Riemann Hypothesis | Statement: [Millennium Prize Problem, hasProblem, Riemann Hypothesis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Riemann Hypothesis
Context triple: [Millennium Prize Problem, hasProblem, Riemann Hypothesis]
  • A. Riemann hypothesis chosen
    The Riemann hypothesis is a famous unsolved conjecture in number theory asserting that all nontrivial zeros of the Riemann zeta function lie on a critical line in the complex plane, with deep implications for the distribution of prime numbers.
  • B. Millennium Prize Problem
    The Millennium Prize Problem is one of seven famous unsolved mathematical problems designated by the Clay Mathematics Institute, each carrying a $1 million reward for a correct solution.
  • C. Fermat's Last Theorem
    Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
  • D. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • E. Riemann–Siegel formula
    The Riemann–Siegel formula is an asymptotic expression that efficiently approximates the Riemann zeta function on the critical line, playing a key role in the numerical study of its zeros.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasProblem
Context triple: [Millennium Prize Problem, hasProblem, Riemann Hypothesis]
  • A. hasNotableIssue chosen
    Indicates that an entity is associated with a significant problem, concern, or defect that is noteworthy or exceptional compared to typical cases.
  • B. hasHealthConcern
    Indicates that an entity has a specific health-related issue, condition, or concern associated with it.
  • C. hadKeyIssue
    Indicates that an entity experienced a primary or critical problem related to a key aspect, factor, or component.
  • D. hasDam
    Indicates that a watercourse, reservoir, or similar feature is impounded or controlled by a specific dam.
  • E. facingIssue
    Indicates that an entity is currently experiencing, encountering, or dealing with a problem, difficulty, or obstacle.
  • F. None of above.

Provenance (4 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_69a885e9b0ac819093a9806ad0efc82c completed March 4, 2026, 7:20 p.m.
NER Named-entity recognition batch_69a93d4756888190bf3872154de11539 completed March 5, 2026, 8:22 a.m.
NED1 Entity disambiguation (via context triple) batch_69ad294f9e2481909f1d685d7f083c6a completed March 8, 2026, 7:46 a.m.
PD Predicate disambiguation batch_69a907ac7ea081908dd95bb5cc3b9847 completed March 5, 2026, 4:33 a.m.
Created at: March 4, 2026, 7:26 p.m.