Triple

T8349429
Position Surface form Disambiguated ID Type / Status
Subject Fisher separation theorem E196121 entity
Predicate relatedTo P37 FINISHED
Object Modigliani–Miller theorem E483085 NE FINISHED

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 | Statement: [Fisher separation theorem, relatedTo, Modigliani–Miller theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Modigliani–Miller theorem
Context triple: [Fisher separation theorem, relatedTo, Modigliani–Miller theorem]
  • 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. 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.
  • C. 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.
  • D. Modigliani–Brumberg model
    The Modigliani–Brumberg model is an economic life-cycle theory explaining how individuals plan consumption and saving over their lifetimes to smooth living standards despite changing income.
  • E. "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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69ca82edd63c8190b876b8465464c5fa completed March 30, 2026, 2:04 p.m.
NER Named-entity recognition batch_69cb8016c4188190a5ff93078e74dc39 completed March 31, 2026, 8:04 a.m.
NED1 Entity disambiguation (via context triple) batch_69cdc74e11f881908b52d0ffea751c96 completed April 2, 2026, 1:33 a.m.
Created at: March 30, 2026, 5:58 p.m.