Triple

T19315467
Position Surface form Disambiguated ID Type / Status
Subject Modigliani–Miller theorem E483085 entity
Predicate Proposition I P17650 FINISHED
Object firm value is independent of leverage in a world without taxes LITERAL 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: firm value is independent of leverage in a world without taxes | Statement: [Modigliani–Miller theorem, Proposition I, firm value is independent of leverage in a world without taxes]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: Proposition I
Context triple: [Modigliani–Miller theorem, Proposition I, firm value is independent of leverage in a world without taxes]
  • A. proposedAmendment
    Indicates that one entity has formally suggested a change or addition (an amendment) to another entity, such as a document, law, or agreement.
  • B. notableProposition chosen
    Indicates that a subject is associated with a proposition, statement, or claim that is considered notable or significant in some context.
  • C. proposedLaw
    Indicates that an entity has formally put forward a law or legislative measure for consideration or approval.
  • D. notableProposal
    Indicates that an entity is a proposal distinguished by particular significance, impact, or recognition compared to other proposals.
  • E. proposition3States
    Indicates that a third proposition articulates, asserts, or formally states a particular claim, condition, or content.
  • F. None of above.

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_69d8e8d04d5c8190baa816986f2b1d1e completed April 10, 2026, 12:10 p.m.
NER Named-entity recognition batch_69e60d833034819092a8414d5e0fc26e completed April 20, 2026, 11:26 a.m.
PD Predicate disambiguation batch_69e4dd0ef66881909d489d634eee817a completed April 19, 2026, 1:47 p.m.
Created at: April 10, 2026, 1:32 p.m.