Triple

T16403015
Position Surface form Disambiguated ID Type / Status
Subject Smale’s 18 problems E398345 entity
Predicate relatedTo P37 FINISHED
Object Millennium Prize Problems E32278 NE FINISHED

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: Millennium Prize Problems | Statement: [Smale’s 18 problems, relatedTo, Millennium Prize Problems]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Millennium Prize Problems
Context triple: [Smale’s 18 problems, relatedTo, Millennium Prize Problems]
  • A. Millennium Prize Problem chosen
    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.
  • B. P versus NP problem
    The P versus NP problem is a central unsolved question in theoretical computer science that asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer.
  • C. Hilbert problems
    The Hilbert problems are a famous list of 23 unsolved mathematical problems presented by David Hilbert in 1900 that profoundly influenced the development of 20th-century mathematics.
  • D. Yang–Mills existence and mass gap problem
    The Yang–Mills existence and mass gap problem is a fundamental unsolved question in mathematical physics that asks for a rigorous proof that quantum Yang–Mills theory exists and exhibits a positive mass gap, and is one of the seven Millennium Prize Problems.
  • E. Riemann hypothesis
    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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d87f2950248190bc8ad9b9bebdc8c8 completed April 10, 2026, 4:40 a.m.
NER Named-entity recognition batch_69e327d12dc08190a5b497692b667ed7 completed April 18, 2026, 6:42 a.m.
NED1 Entity disambiguation (via context triple) batch_6a003c6094e481909aa7402fd17fedae completed May 10, 2026, 8:05 a.m.
Created at: April 10, 2026, 5:09 a.m.