Triple

T9456679
Position Surface form Disambiguated ID Type / Status
Subject geometric calculus E228030 entity
Predicate formalizedIn P6279 FINISHED
Object "Clifford Algebra to Geometric Calculus" E801053 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: "Clifford Algebra to Geometric Calculus" | Statement: [geometric calculus, formalizedIn, "Clifford Algebra to Geometric Calculus"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: "Clifford Algebra to Geometric Calculus"
Context triple: [geometric calculus, formalizedIn, "Clifford Algebra to Geometric Calculus"]
  • A. Clifford algebra chosen
    Clifford algebra is an associative algebraic framework that generalizes complex numbers and quaternions to describe geometric transformations and quadratic forms in various dimensions.
  • B. geometric calculus
    Geometric calculus is a mathematical framework that extends geometric algebra to handle differentiation and integration in a coordinate-free, geometrically intuitive way.
  • C. geometric algebra
    Geometric algebra is a mathematical framework that unifies and extends vector and complex number algebra to elegantly describe geometry, transformations, and physical laws in a single coherent language.
  • D. foundations of geometric algebra as a unified language for physics
    Foundations of geometric algebra as a unified language for physics is a mathematical framework that reformulates and streamlines the description of physical theories—such as classical mechanics, electromagnetism, and quantum mechanics—within a single, coherent algebraic system.
  • E. spacetime algebra
    Spacetime algebra is a mathematical framework based on geometric (Clifford) algebra that unifies and simplifies the description of spacetime and physical laws, particularly in relativity and electromagnetism.
  • 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_69ca843b123881909b0e60028475d12d completed March 30, 2026, 2:10 p.m.
NER Named-entity recognition batch_69cd7f90cf648190ab238ba6b4f03c4f completed April 1, 2026, 8:26 p.m.
NED1 Entity disambiguation (via context triple) batch_69d12ce01b548190a30f6cc7f3084b06 completed April 4, 2026, 3:23 p.m.
Created at: March 30, 2026, 7:52 p.m.