Triple

T9637210
Position Surface form Disambiguated ID Type / Status
Subject Leopold Infeld E232963 entity
Predicate notableWork P4 FINISHED
Object Einstein–Infeld–Hoffmann equations
The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
E811620 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: Einstein–Infeld–Hoffmann equations | Statement: [Leopold Infeld, notableWork, Einstein–Infeld–Hoffmann equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Einstein–Infeld–Hoffmann equations
Context triple: [Leopold Infeld, notableWork, Einstein–Infeld–Hoffmann equations]
  • A. Schwarzschild–Milne equations
    The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
  • B. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • C. Landau–Lifshitz equations
    The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
  • D. Newman–Penrose formalism
    The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
  • E. Nordström's scalar theory of gravitation
    Nordström's scalar theory of gravitation is an early 20th-century relativistic theory of gravity that models gravitational interaction using a scalar field, serving as a precursor and alternative to Einstein’s general relativity.
  • 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: Einstein–Infeld–Hoffmann equations
Triple: [Leopold Infeld, notableWork, Einstein–Infeld–Hoffmann equations]
Generated description
The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Einstein–Infeld–Hoffmann equations
Target entity description: The Einstein–Infeld–Hoffmann equations are post-Newtonian equations of motion in general relativity that describe the dynamics of gravitating bodies with relativistic corrections beyond Newtonian gravity.
  • A. Schwarzschild–Milne equations
    The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
  • B. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • C. Landau–Lifshitz equations
    The Landau–Lifshitz equations are fundamental differential equations in theoretical physics that describe the dynamics of magnetization in ferromagnets and, more broadly, the behavior of fields in relativistic and nonrelativistic continuum theories.
  • D. Newman–Penrose formalism
    The Newman–Penrose formalism is a mathematical framework in general relativity that uses null tetrads and spin coefficients to simplify the analysis of spacetime geometry and gravitational radiation.
  • E. Nordström's scalar theory of gravitation
    Nordström's scalar theory of gravitation is an early 20th-century relativistic theory of gravity that models gravitational interaction using a scalar field, serving as a precursor and alternative to Einstein’s general relativity.
  • 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_69ca848940cc8190b97cec654cb3bb4a completed March 30, 2026, 2:11 p.m.
NER Named-entity recognition batch_69cd9b5045cc8190ab717f42d803e010 completed April 1, 2026, 10:25 p.m.
NED1 Entity disambiguation (via context triple) batch_69d1823e32c48190a442b77a0f7c8180 completed April 4, 2026, 9:27 p.m.
NEDg Description generation batch_69d18393656c81908821ae0d7af83a57 completed April 4, 2026, 9:33 p.m.
NED2 Entity disambiguation (via description) batch_69d183f733cc8190bbb69c035c1d397a completed April 4, 2026, 9:34 p.m.
Created at: March 30, 2026, 8:11 p.m.