Triple

T22673804
Position Surface form Disambiguated ID Type / Status
Subject Eugen Slutsky E560291 entity
Predicate knownFor P22 FINISHED
Object Slutsky equation
The Slutsky equation is a fundamental result in microeconomics that decomposes the effect of a price change on demand into substitution and income effects.
E1548770 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: Slutsky equation | Statement: [Eugen Slutsky, knownFor, Slutsky equation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Slutsky equation
Context triple: [Eugen Slutsky, knownFor, Slutsky equation]
  • A. Slutsky
    Slutsky is a Slavic surname borne by various notable individuals in fields such as politics, economics, and sports.
  • B. Hicksian demand
    Hicksian demand is a concept in microeconomics that describes how a consumer’s demand for goods changes when prices vary while holding utility (satisfaction) constant, often used in welfare and consumer theory.
  • C. Marshallian demand
    Marshallian demand is the consumer demand function that expresses the quantity of a good chosen as a function of prices and income, derived from utility maximization under a budget constraint.
  • D. Shephard’s lemma
    Shephard’s lemma is a result in microeconomics stating that the derivative of a cost (or expenditure) function with respect to input (or price) yields the corresponding conditional factor (or Hicksian demand) demand function.
  • E. Fisher equation
    The Fisher equation is a fundamental economic formula that relates nominal interest rates, real interest rates, and expected inflation, widely used in macroeconomics and finance.
  • 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: Slutsky equation
Triple: [Eugen Slutsky, knownFor, Slutsky equation]
Generated description
The Slutsky equation is a fundamental result in microeconomics that decomposes the effect of a price change on demand into substitution and income effects.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Slutsky equation
Target entity description: The Slutsky equation is a fundamental result in microeconomics that decomposes the effect of a price change on demand into substitution and income effects.
  • A. Slutsky
    Slutsky is a Slavic surname borne by various notable individuals in fields such as politics, economics, and sports.
  • B. Hicksian demand
    Hicksian demand is a concept in microeconomics that describes how a consumer’s demand for goods changes when prices vary while holding utility (satisfaction) constant, often used in welfare and consumer theory.
  • C. Marshallian demand
    Marshallian demand is the consumer demand function that expresses the quantity of a good chosen as a function of prices and income, derived from utility maximization under a budget constraint.
  • D. Shephard’s lemma
    Shephard’s lemma is a result in microeconomics stating that the derivative of a cost (or expenditure) function with respect to input (or price) yields the corresponding conditional factor (or Hicksian demand) demand function.
  • E. Fisher equation
    The Fisher equation is a fundamental economic formula that relates nominal interest rates, real interest rates, and expected inflation, widely used in macroeconomics and finance.
  • 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_69e2454bfd00819099115715a22cb057 completed April 17, 2026, 2:35 p.m.
NER Named-entity recognition batch_69f178229e908190b696d14a93c11344 completed April 29, 2026, 3:16 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0b73ed2d588190a9d9382c11fbb1a5 completed May 18, 2026, 8:17 p.m.
NEDg Description generation batch_6a0b7505c99081908a9faac30451e6e8 completed May 18, 2026, 8:22 p.m.
NED2 Entity disambiguation (via description) batch_6a0b761510b48190a09722be3fca7e93 completed May 18, 2026, 8:27 p.m.
Created at: April 17, 2026, 3:10 p.m.