Triple

T21046975
Position Surface form Disambiguated ID Type / Status
Subject orthogonal group O(n) E518473 entity
Predicate isCompactBecause P142616 FINISHED
Object it is closed and bounded in R^{n^2} 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: it is closed and bounded in R^{n^2} | Statement: [orthogonal group O(n), isCompactBecause, it is closed and bounded in R^{n^2}]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: isCompactBecause
Context triple: [orthogonal group O(n), isCompactBecause, it is closed and bounded in R^{n^2}]
  • A. isCompact
    Indicates that an object or space has a small, efficiently arranged size or volume relative to its function or contents.
  • B. isNoncompact
    Indicates that the object (such as a space or set) lacks compactness, meaning it does not satisfy the property that every open cover has a finite subcover.
  • C. isShort
    Indicates that one entity has a relatively small height, length, or duration compared to a standard or to other entities.
  • D. isTight
    Indicates that one entity fits closely or securely around, against, or within another without looseness or extra space.
  • E. isCompactRealFormOf
    Indicates that one Lie group or Lie algebra is the compact real form corresponding to another (typically complex) Lie group or Lie algebra, sharing the same complexification.
  • F. None of above. chosen

Provenance (4 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.
PD Predicate disambiguation batch_69e5dbf6728881908a2a43a5c8804a2a completed April 20, 2026, 7:55 a.m.
PDg Predicate description generation batch_69e5e2df1a888190b5b478e76bdf7fdf completed April 20, 2026, 8:25 a.m.
Created at: April 16, 2026, 2:34 p.m.