Triple

T1859194
Position Surface form Disambiguated ID Type / Status
Subject Hilbert problems E41774 entity
Predicate hasPart P35 FINISHED
Object Hilbert’s twentieth problem
Hilbert’s twentieth problem is one of David Hilbert’s famous list of 23 problems, asking about the existence of solutions to variational problems defined by given boundary conditions.
E41774 NE FINISHED

How this triple was built (4 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: Hilbert’s twentieth problem | Statement: [Hilbert problems, hasPart, Hilbert’s twentieth problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Hilbert’s twentieth problem
Context triple: [Hilbert problems, hasPart, Hilbert’s twentieth problem]
  • A. 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.
  • B. Hilbert’s second problem
    Hilbert’s second problem is one of David Hilbert’s famous list of 23 problems, asking for a proof of the consistency of arithmetic from a finite set of axioms using finitary methods.
  • C. Hilbert’s seventeenth problem
    Hilbert’s seventeenth problem is a famous question in real algebraic geometry asking whether every nonnegative polynomial can be represented as a sum of squares of rational functions.
  • D. "Invariante Variationsprobleme"
    "Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.
  • E. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
    Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
  • 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: Hilbert’s twentieth problem
Triple: [Hilbert problems, hasPart, Hilbert’s twentieth problem]
Generated description
Hilbert’s twentieth problem is one of David Hilbert’s famous list of 23 problems, asking about the existence of solutions to variational problems defined by given boundary conditions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Hilbert’s twentieth problem
Target entity description: Hilbert’s twentieth problem is one of David Hilbert’s famous list of 23 problems, asking about the existence of solutions to variational problems defined by given boundary conditions.
  • A. Hilbert problems chosen
    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.
  • B. Hilbert’s second problem
    Hilbert’s second problem is one of David Hilbert’s famous list of 23 problems, asking for a proof of the consistency of arithmetic from a finite set of axioms using finitary methods.
  • C. Hilbert’s seventeenth problem
    Hilbert’s seventeenth problem is a famous question in real algebraic geometry asking whether every nonnegative polynomial can be represented as a sum of squares of rational functions.
  • D. "Invariante Variationsprobleme"
    "Invariante Variationsprobleme" is Emmy Noether’s landmark 1918 paper that founded the deep connection between symmetries and conservation laws in physics and the calculus of variations.
  • E. Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe
    Über die Darstellbarkeit einer Funktion durch eine trigonometrische Reihe is Bernhard Riemann’s seminal 1854 paper that laid foundational ideas for Fourier series and modern real analysis, including the concept now known as the Riemann integral.
  • F. None of above.

Provenance (5 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_69a8864a83848190a4ec02721306c511 completed March 4, 2026, 7:21 p.m.
NER Named-entity recognition batch_69abb0829f1481908d2b389d20827417 completed March 7, 2026, 4:58 a.m.
NED1 Entity disambiguation (via context triple) batch_69adeaddc9188190bd49d6605fd0e812 completed March 8, 2026, 9:32 p.m.
NEDg Description generation batch_69adeb5118608190be99a12b7f6b97c5 completed March 8, 2026, 9:34 p.m.
NED2 Entity disambiguation (via description) batch_69adec25a87081908f098df81de6eafb completed March 8, 2026, 9:37 p.m.
Created at: March 4, 2026, 7:33 p.m.