Triple

T8901480
Position Surface form Disambiguated ID Type / Status
Subject Paul Samuelson E211938 entity
Predicate notableIdea P4 FINISHED
Object factor-price equalization theorem
The factor-price equalization theorem is a result in international trade theory stating that free trade in goods can lead to the equalization of factor prices (like wages and returns to capital) across countries, even without factor mobility.
E764587 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: factor-price equalization theorem | Statement: [Paul Samuelson, notableIdea, factor-price equalization theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: factor-price equalization theorem
Context triple: [Paul Samuelson, notableIdea, factor-price equalization theorem]
  • A. Leontief paradox
    The Leontief paradox is a famous empirical finding in international economics showing that U.S. trade patterns contradicted the predictions of the Heckscher–Ohlin model by appearing to export labor-intensive rather than capital-intensive goods.
  • B. Studies in the Theory of International Trade
    Studies in the Theory of International Trade is a classic 1937 economic treatise that rigorously analyzes and synthesizes the foundations of international trade theory, including comparative advantage, tariffs, and customs unions.
  • C. Kaldor–Verdoorn law
    The Kaldor–Verdoorn law is an economic principle that posits a positive relationship between the growth of output and the growth of labor productivity, often used to explain cumulative and self-reinforcing processes in industrial growth.
  • D. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • E. International Economics: Theory and Policy
    International Economics: Theory and Policy is a widely used textbook that provides a comprehensive introduction to international trade and finance, blending rigorous economic theory with real-world policy applications.
  • 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: factor-price equalization theorem
Triple: [Paul Samuelson, notableIdea, factor-price equalization theorem]
Generated description
The factor-price equalization theorem is a result in international trade theory stating that free trade in goods can lead to the equalization of factor prices (like wages and returns to capital) across countries, even without factor mobility.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: factor-price equalization theorem
Target entity description: The factor-price equalization theorem is a result in international trade theory stating that free trade in goods can lead to the equalization of factor prices (like wages and returns to capital) across countries, even without factor mobility.
  • A. Leontief paradox
    The Leontief paradox is a famous empirical finding in international economics showing that U.S. trade patterns contradicted the predictions of the Heckscher–Ohlin model by appearing to export labor-intensive rather than capital-intensive goods.
  • B. Studies in the Theory of International Trade
    Studies in the Theory of International Trade is a classic 1937 economic treatise that rigorously analyzes and synthesizes the foundations of international trade theory, including comparative advantage, tariffs, and customs unions.
  • C. Kaldor–Verdoorn law
    The Kaldor–Verdoorn law is an economic principle that posits a positive relationship between the growth of output and the growth of labor productivity, often used to explain cumulative and self-reinforcing processes in industrial growth.
  • D. Hicks–Kaldor compensation criterion
    The Hicks–Kaldor compensation criterion is an economic efficiency test stating that a policy change is desirable if those who gain could in principle compensate those who lose and still be better off, regardless of whether compensation actually occurs.
  • E. International Economics: Theory and Policy
    International Economics: Theory and Policy is a widely used textbook that provides a comprehensive introduction to international trade and finance, blending rigorous economic theory with real-world policy applications.
  • 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_69ca83918d3081909b326fa3750cb8c8 completed March 30, 2026, 2:07 p.m.
NER Named-entity recognition batch_69cc642a104081908df2d64e8f9ad0c8 completed April 1, 2026, 12:17 a.m.
NED1 Entity disambiguation (via context triple) batch_69cfac1846f481909aad27a6dacddba2 completed April 3, 2026, 12:01 p.m.
NEDg Description generation batch_69cfacb58f208190b5e8eeba58f1bd78 completed April 3, 2026, 12:04 p.m.
NED2 Entity disambiguation (via description) batch_69cfad73f7a8819089ee3dadf321220e completed April 3, 2026, 12:07 p.m.
Created at: March 30, 2026, 6:54 p.m.