Triple

T23234798
Position Surface form Disambiguated ID Type / Status
Subject p-adic analytic groups E581256 entity
Predicate hasExample P1259 FINISHED
Object SL_n(Q_p) NE NERFINISHED

How this triple was built (3 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: SL_n(Q_p) | Statement: [p-adic analytic groups, hasExample, SL_n(Q_p)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: SL_n(Q_p)
Context triple: [p-adic analytic groups, hasExample, SL_n(Q_p)]
  • A. GL_n(Q_l)
    GL_n(Q_l) is the group of invertible n×n matrices over the field of ℓ-adic numbers, fundamental in the study of ℓ-adic Galois representations and arithmetic geometry.
  • B. special linear group SL(n,R)
    The special linear group SL(n,ℝ) is the Lie group of all n×n real matrices with determinant 1, fundamental in linear algebra and differential geometry as the group of volume-preserving linear transformations.
  • C. special linear group SL(n,C)
    The special linear group SL(n,ℂ) is the Lie group of n×n complex matrices with determinant 1, fundamental in representation theory, geometry, and many areas of modern mathematics and physics.
  • D. SL(2,ℤ)
    SL(2,ℤ) is the group of 2×2 integer matrices with determinant 1, fundamental in number theory, geometry, and the theory of modular forms.
  • E. PSL(2,ℤ/Nℤ)
    PSL(2,ℤ/Nℤ) is the projective special linear group of 2×2 matrices with entries in the ring of integers modulo N, modulo scalar matrices, forming a fundamental example of a finite (or, for composite N, generally non-simple) group in algebra and number theory.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: SL_n(Q_p)
Target entity description: SL_n(Q_p) is the group of n×n p-adic matrices with determinant 1, forming a fundamental example of a non-compact p-adic Lie group central to number theory and representation theory.
  • A. GL_n(Q_l)
    GL_n(Q_l) is the group of invertible n×n matrices over the field of ℓ-adic numbers, fundamental in the study of ℓ-adic Galois representations and arithmetic geometry.
  • B. special linear group SL(n,R)
    The special linear group SL(n,ℝ) is the Lie group of all n×n real matrices with determinant 1, fundamental in linear algebra and differential geometry as the group of volume-preserving linear transformations.
  • C. special linear group SL(n,C)
    The special linear group SL(n,ℂ) is the Lie group of n×n complex matrices with determinant 1, fundamental in representation theory, geometry, and many areas of modern mathematics and physics.
  • D. SL(2,ℤ)
    SL(2,ℤ) is the group of 2×2 integer matrices with determinant 1, fundamental in number theory, geometry, and the theory of modular forms.
  • E. PSL(2,ℤ/Nℤ)
    PSL(2,ℤ/Nℤ) is the projective special linear group of 2×2 matrices with entries in the ring of integers modulo N, modulo scalar matrices, forming a fundamental example of a finite (or, for composite N, generally non-simple) group in algebra and number theory.
  • F. None of above. chosen

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_69e2460556f88190be1744a84a84173f completed April 17, 2026, 2:39 p.m.
NER Named-entity recognition batch_69f192e8c7548190b53434eeb2620a6e completed April 29, 2026, 5:11 a.m.
Created at: April 17, 2026, 4:09 p.m.