Triple

T11099037
Position Surface form Disambiguated ID Type / Status
Subject Johannes G. G. Darboux E262454 entity
Predicate hasNotableConceptNamedAfter P29208 FINISHED
Object Darboux's law of intermediate values E904573 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: Darboux's law of intermediate values | Statement: [Johannes G. G. Darboux, hasNotableConceptNamedAfter, Darboux's law of intermediate values]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Darboux's law of intermediate values
Context triple: [Johannes G. G. Darboux, hasNotableConceptNamedAfter, Darboux's law of intermediate values]
  • A. Darboux's law of intermediate values chosen
    Darboux's law of intermediate values is a fundamental theorem in real analysis stating that the image of a continuous function on an interval contains every value between any two of its function values.
  • B. Darboux theorem
    The Darboux theorem is a fundamental result in symplectic geometry stating that all symplectic manifolds are locally symplectomorphic to the standard symplectic space, implying that the symplectic form can always be put into a canonical local normal form.
  • C. Denjoy–Young–Saks theorem
    The Denjoy–Young–Saks theorem is a result in real analysis that classifies the possible behaviors of the derivative of a real function at almost every point on the real line.
  • D. Du Bois-Reymond theory of orders of infinity
    The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
  • E. Stetigkeit und irrationale Zahlen
    "Stetigkeit und irrationale Zahlen" is Richard Dedekind’s seminal 1872 work in which he rigorously defines real numbers and continuity via Dedekind cuts, laying a foundation for modern analysis.
  • 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_69d6aa9a40d88190a373e2c7e48285db completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d79a0c46308190889b94c23ebaca62 completed April 9, 2026, 12:22 p.m.
NED1 Entity disambiguation (via context triple) batch_69e441bb14d08190ac01bf3daa34ae43 completed April 19, 2026, 2:45 a.m.
Created at: April 8, 2026, 9:27 p.m.