Triple

T20627252
Position Surface form Disambiguated ID Type / Status
Subject Minkowski’s theorem on convex sets E506850 entity
Predicate appearsIn P795 FINISHED
Object Hermann Minkowski’s work "Geometrie der Zahlen" NE NERFINISHED

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: Hermann Minkowski’s work "Geometrie der Zahlen" | Statement: [Minkowski’s theorem on convex sets, appearsIn, Hermann Minkowski’s work "Geometrie der Zahlen"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Hermann Minkowski’s work "Geometrie der Zahlen"
Context triple: [Minkowski’s theorem on convex sets, appearsIn, Hermann Minkowski’s work "Geometrie der Zahlen"]
  • A. Minkowski’s theorem on convex sets chosen
    Minkowski’s theorem on convex sets is a fundamental result in convex geometry that characterizes lattice points in convex bodies, underpinning much of the theory of convex polytopes and the geometry of numbers.
  • B. Hermann Minkowski
    Hermann Minkowski was a German mathematician and physicist best known for formulating the four-dimensional spacetime framework that underpins the theory of relativity.
  • C. Neue Geometrie des Raumes
    Neue Geometrie des Raumes is a foundational 19th-century mathematical work by Julius Plücker that develops projective and line geometry in three-dimensional space.
  • D. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • E. Die lineale Ausdehnungslehre
    Die lineale Ausdehnungslehre is Hermann Grassmann’s foundational 1844 work that introduced an early form of vector spaces and multilinear algebra, profoundly influencing modern mathematics.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69e0b4bd4a0081908d4e97a590a33fb2 completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6abe576c081909231dc0d7304b9a9 completed April 20, 2026, 10:42 p.m.
Created at: April 16, 2026, 11:42 a.m.