Triple

T19315479
Position Surface form Disambiguated ID Type / Status
Subject Modigliani–Miller theorem E483085 entity
Predicate extendedBy P9926 FINISHED
Object Modigliani–Miller theorem with corporate taxes — NE NERFINISHED

How this triple was built (2 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 with corporate taxes | Statement: [Modigliani–Miller theorem, extendedBy, Modigliani–Miller theorem with corporate taxes]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Modigliani–Miller theorem with corporate taxes
Context triple: [Modigliani–Miller theorem, extendedBy, Modigliani–Miller theorem with corporate taxes]
  • A. Modigliani–Miller theorem chosen
    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.
  • 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. Reports on the relation of corporate finance to control
    "Reports on the relation of corporate finance to control" is an early 20th-century investigative study by the U.S. Bureau of Corporations analyzing how financial structures and ownership patterns influence corporate power and control.
  • D. "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.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (2 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_69d8e8d04d5c8190baa816986f2b1d1e completed April 10, 2026, 12:10 p.m.
NER Named-entity recognition batch_69e60d833034819092a8414d5e0fc26e completed April 20, 2026, 11:26 a.m.
Created at: April 10, 2026, 1:32 p.m.