Triple

T13444241
Position Surface form Disambiguated ID Type / Status
Subject Paul Halmos E320438 entity
Predicate notableWork P4 FINISHED
Object Finite-Dimensional Vector Spaces E157381 NE 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: Finite-Dimensional Vector Spaces | Statement: [Paul Halmos, notableWork, Finite-Dimensional Vector Spaces]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Finite-Dimensional Vector Spaces
Context triple: [Paul Halmos, notableWork, Finite-Dimensional Vector Spaces]
  • A. 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.
  • B. Schaum's Outline of Vector Analysis
    Schaum's Outline of Vector Analysis is a widely used study guide that provides clear explanations, worked examples, and practice problems in vector calculus and related topics for students in mathematics, physics, and engineering.
  • C. linear algebra chosen
    Linear algebra is a branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations, forming a foundation for many areas of science and engineering.
  • D. A Shorter Course in Algebra
    A Shorter Course in Algebra is a concise algebra textbook authored by Confederate general and educator D. H. Hill for use in 19th-century American schools.
  • E. Vector Analysis (with Edwin Bidwell Wilson)
    Vector Analysis (with Edwin Bidwell Wilson) is a foundational early 20th-century textbook that systematically developed the modern formalism of vector calculus and helped standardize its use in physics and engineering.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d80761e6cc8190a90c844589998ecc completed April 9, 2026, 8:09 p.m.
NER Named-entity recognition batch_69dbaee881888190811ddf01bc699864 completed April 12, 2026, 2:40 p.m.
NED1 Entity disambiguation (via context triple) batch_69f739965ef081909e85881ce805bbb5 completed May 3, 2026, 12:03 p.m.
Created at: April 9, 2026, 9:40 p.m.