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.