Triple

T4958134
Position Surface form Disambiguated ID Type / Status
Subject Franco Modigliani E111336 entity
Predicate notableWork P4 FINISHED
Object Modigliani–Miller theorem
The Modigliani–Miller theorem is a foundational result in corporate finance stating that, under certain idealized conditions, a firm's value is unaffected by its capital structure or how it is financed.
E483085 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: Modigliani–Miller theorem | Statement: [Franco Modigliani, notableWork, Modigliani–Miller theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Modigliani–Miller theorem
Context triple: [Franco Modigliani, notableWork, Modigliani–Miller theorem]
  • A. Fisher separation theorem
    The Fisher separation theorem is a foundational result in financial economics stating that a firm's investment decision can be made independently of its owners' consumption preferences, focusing solely on maximizing the present value of the firm.
  • B. The Theory of Corporate Finance
    The Theory of Corporate Finance is a comprehensive textbook by economist Jean Tirole that systematically develops modern corporate finance theory using tools from contract theory and information economics.
  • C. "The Nature of the Firm"
    "The Nature of the Firm" is a foundational 1937 economic essay by Ronald Coase that explains why firms exist and how transaction costs shape their size and structure.
  • D. Coase theorem
    The Coase theorem is an economic theory stating that if property rights are well-defined and transaction costs are negligible, private bargaining will lead to an efficient allocation of resources regardless of the initial assignment of rights.
  • E. Lucas asset pricing model
    The Lucas asset pricing model is a foundational rational expectations framework in macro-finance that explains asset prices through representative-agent intertemporal consumption choices under uncertainty.
  • 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: Modigliani–Miller theorem
Triple: [Franco Modigliani, notableWork, Modigliani–Miller theorem]
Generated description
The Modigliani–Miller theorem is a foundational result in corporate finance stating that, under certain idealized conditions, a firm's value is unaffected by its capital structure or how it is financed.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Modigliani–Miller theorem
Target entity description: The Modigliani–Miller theorem is a foundational result in corporate finance stating that, under certain idealized conditions, a firm's value is unaffected by its capital structure or how it is financed.
  • A. Fisher separation theorem
    The Fisher separation theorem is a foundational result in financial economics stating that a firm's investment decision can be made independently of its owners' consumption preferences, focusing solely on maximizing the present value of the firm.
  • B. The Theory of Corporate Finance
    The Theory of Corporate Finance is a comprehensive textbook by economist Jean Tirole that systematically develops modern corporate finance theory using tools from contract theory and information economics.
  • C. "The Nature of the Firm"
    "The Nature of the Firm" is a foundational 1937 economic essay by Ronald Coase that explains why firms exist and how transaction costs shape their size and structure.
  • D. Coase theorem
    The Coase theorem is an economic theory stating that if property rights are well-defined and transaction costs are negligible, private bargaining will lead to an efficient allocation of resources regardless of the initial assignment of rights.
  • E. Lucas asset pricing model
    The Lucas asset pricing model is a foundational rational expectations framework in macro-finance that explains asset prices through representative-agent intertemporal consumption choices under uncertainty.
  • 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_69bd4418390c8190b7e9766a2512ce55 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd71d834c0819087f3faafdc9b4228 completed March 20, 2026, 4:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69be81e144a08190b66bf07e09b6ff55 completed March 21, 2026, 11:32 a.m.
NEDg Description generation batch_69be83b10e048190889289ac2ca9f07f completed March 21, 2026, 11:40 a.m.
NED2 Entity disambiguation (via description) batch_69be843e2e50819099b2b73498c7c16e completed March 21, 2026, 11:42 a.m.
Created at: March 20, 2026, 1:32 p.m.