Triple

T249279
Position Surface form Disambiguated ID Type / Status
Subject Navier–Stokes equations E5106 entity
Predicate associatedPrize P219 FINISHED
Object 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.
E32278 NE FINISHED

How this triple was built (5 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 Problem | Statement: [Navier–Stokes equations, associatedPrize, Millennium Prize Problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Millennium Prize Problem
Context triple: [Navier–Stokes equations, associatedPrize, Millennium Prize Problem]
  • A. RSA Award for Excellence in Mathematics
    The RSA Award for Excellence in Mathematics is a prestigious honor in cryptography and number theory recognizing groundbreaking contributions to the mathematical foundations of secure communication.
  • B. Prince of Mathematicians
    Prince of Mathematicians is the honorific title given to Carl Friedrich Gauss, reflecting his status as one of the greatest and most influential mathematicians in history.
  • C. Fields Medal
    The Fields Medal is one of the most prestigious awards in mathematics, granted every four years to outstanding mathematicians under the age of 40 for exceptional research contributions.
  • D. Abel Prize
    The Abel Prize is a prestigious international mathematics award, often likened to a "Nobel Prize in Mathematics," given annually by the Norwegian Academy of Science and Letters for outstanding scientific work in the field.
  • E. Mathematics Prize of the French Academy of Sciences
    The Mathematics Prize of the French Academy of Sciences is a prestigious French award recognizing outstanding contributions to the field of mathematics.
  • 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: Millennium Prize Problem
Triple: [Navier–Stokes equations, associatedPrize, Millennium Prize Problem]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Millennium Prize Problem
Target entity description: 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.
  • A. RSA Award for Excellence in Mathematics
    The RSA Award for Excellence in Mathematics is a prestigious honor in cryptography and number theory recognizing groundbreaking contributions to the mathematical foundations of secure communication.
  • B. Prince of Mathematicians
    Prince of Mathematicians is the honorific title given to Carl Friedrich Gauss, reflecting his status as one of the greatest and most influential mathematicians in history.
  • C. Fields Medal
    The Fields Medal is one of the most prestigious awards in mathematics, granted every four years to outstanding mathematicians under the age of 40 for exceptional research contributions.
  • D. Abel Prize
    The Abel Prize is a prestigious international mathematics award, often likened to a "Nobel Prize in Mathematics," given annually by the Norwegian Academy of Science and Letters for outstanding scientific work in the field.
  • E. Mathematics Prize of the French Academy of Sciences
    The Mathematics Prize of the French Academy of Sciences is a prestigious French award recognizing outstanding contributions to the field of mathematics.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: associatedPrize
Context triple: [Navier–Stokes equations, associatedPrize, Millennium Prize Problem]
  • A. relatedAward chosen
    Indicates that there is an award connected or associated with the subject entity, such as an honor, prize, or recognition related to it.
  • B. prizeType
    Indicates the specific category or kind of prize associated with an entity or event.
  • C. awardFor
    Indicates that something is given or granted as recognition or a prize for a particular achievement, work, or contribution.
  • D. awardType
    Indicates the specific category or kind of award associated with an entity or event.
  • E. awardName
    Indicates the specific name or title of an award associated with an entity.
  • F. None of above.

Provenance (6 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_69a257c4bf688190a46ebbf411ab7473 completed Feb. 28, 2026, 2:49 a.m.
NER Named-entity recognition batch_69a25d35aa288190966b6e15af1525cb completed Feb. 28, 2026, 3:12 a.m.
NED1 Entity disambiguation (via context triple) batch_69a37373426881909ce8766ad9c5778c completed Feb. 28, 2026, 11 p.m.
NEDg Description generation batch_69a373dfb6c0819092ebfe465b7be3c9 completed Feb. 28, 2026, 11:01 p.m.
NED2 Entity disambiguation (via description) batch_69a3748a9ea4819080b2cea1f1b4afbc completed Feb. 28, 2026, 11:04 p.m.
PD Predicate disambiguation batch_69a25b64ea3081908de626a0e1445bdb completed Feb. 28, 2026, 3:05 a.m.
Created at: Feb. 28, 2026, 2:54 a.m.