Triple

T2037057
Position Surface form Disambiguated ID Type / Status
Subject David Hestenes E44654 entity
Predicate knownFor P22 FINISHED
Object 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.
E228029 NE FINISHED

How this triple was built (4 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: spacetime algebra | Statement: [David Hestenes, knownFor, spacetime algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: spacetime algebra
Context triple: [David Hestenes, knownFor, spacetime algebra]
  • A. Minkowski space-time
    Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
  • B. Dirac spinors
    Dirac spinors are four-component mathematical objects in relativistic quantum mechanics that describe spin-½ particles, such as electrons, incorporating both their spin and particle–antiparticle degrees of freedom.
  • C. Dirac matrices
    Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
  • D. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • E. spacetime manifold
    A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: spacetime algebra
Triple: [David Hestenes, knownFor, spacetime algebra]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: spacetime algebra
Target entity description: 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.
  • A. Minkowski space-time
    Minkowski space-time is a four-dimensional geometric framework that unifies three-dimensional space and time into a single continuum used to describe events and motion in special relativity.
  • B. Dirac spinors
    Dirac spinors are four-component mathematical objects in relativistic quantum mechanics that describe spin-½ particles, such as electrons, incorporating both their spin and particle–antiparticle degrees of freedom.
  • C. Dirac matrices
    Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
  • D. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • E. spacetime manifold
    A spacetime manifold is a four-dimensional, smooth geometric framework in general relativity that models the combined fabric of space and time on which gravitational phenomena are described.
  • F. None of above. chosen

Provenance (5 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_69a889159ec481908f9e4472d9f480c7 completed March 4, 2026, 7:33 p.m.
NER Named-entity recognition batch_69abb9363b608190b42aa6d3f3fd78c4 completed March 7, 2026, 5:35 a.m.
NED1 Entity disambiguation (via context triple) batch_69ae1ff38fb881909558e4d715a4d314 completed March 9, 2026, 1:18 a.m.
NEDg Description generation batch_69ae20946a288190a3bd2a19e3608e86 completed March 9, 2026, 1:21 a.m.
NED2 Entity disambiguation (via description) batch_69ae2109d17c819094a298a822064052 completed March 9, 2026, 1:23 a.m.
Created at: March 4, 2026, 7:39 p.m.