Triple

T10055522
Position Surface form Disambiguated ID Type / Status
Subject Hilbert’s fourteenth problem E208850 entity
Predicate hasModernFormulation P38255 FINISHED
Object finite generation of k[V]^G for algebraic group G acting on affine variety V LITERAL 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: finite generation of k[V]^G for algebraic group G acting on affine variety V | Statement: [Hilbert’s fourteenth problem, hasModernFormulation, finite generation of k[V]^G for algebraic group G acting on affine variety V]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasModernFormulation
Context triple: [Hilbert’s fourteenth problem, hasModernFormulation, finite generation of k[V]^G for algebraic group G acting on affine variety V]
  • A. hasModernFormulationIn chosen
    Indicates that something has a contemporary or updated version expressed or formulated within a specified context, framework, or medium.
  • B. hasFormulation
    Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
  • C. isModern
    Indicates that something belongs to, reflects, or is characteristic of the contemporary or recent period, especially in style, design, or thinking.
  • D. hasCanonicalFormulation
    Indicates that one entity is the standard or officially accepted formulation or expression of another entity.
  • E. modernFormSince
    Indicates that an entity has existed in its current or modern form starting from a specified point in time.
  • F. None of above.

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_69ca836094408190a36a1ea7e9a86fcd completed March 30, 2026, 2:06 p.m.
NER Named-entity recognition batch_69cdcfacacd08190abe66f8bb17b92c7 completed April 2, 2026, 2:08 a.m.
PD Predicate disambiguation batch_69cd4b8d2280819089de27e57babd1f3 completed April 1, 2026, 4:45 p.m.
Created at: March 30, 2026, 8:57 p.m.