Triple

T21046924
Position Surface form Disambiguated ID Type / Status
Subject ISO(n) E518472 entity
Predicate isometryGroupOf P14251 FINISHED
Object Euclidean n-space 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: Euclidean n-space | Statement: [ISO(n), isometryGroupOf, Euclidean n-space]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Euclidean n-space
Context triple: [ISO(n), isometryGroupOf, Euclidean n-space]
  • A. Euclidean space chosen
    Euclidean space is the standard flat, n-dimensional geometric setting of classical geometry and vector calculus, characterized by straight lines, right angles, and the usual distance and dot product.
  • B. n-Space
    n-Space was an American video game development studio known for creating handheld and console titles across various popular franchises before closing in 2016.
  • C. Euclidean metric
    The Euclidean metric is the standard distance function on Euclidean space, defined by the square root of the sum of squared coordinate differences between two points.
  • D. O(n) ⋉ R^n
    O(n) ⋉ R^n is the Euclidean group in n dimensions, consisting of all distance-preserving transformations formed by combining orthogonal rotations/reflections with translations in R^n.
  • E. 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.
  • 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
Created at: April 16, 2026, 2:34 p.m.