Triple

T22666523
Position Surface form Disambiguated ID Type / Status
Subject Poisson integral E559805 entity
Predicate halfPlaneFormula P64245 FINISHED
Object u(x+iy) = \frac{1}{\pi}\int_{-\infty}^{\infty} \frac{y}{(x-t)^2 + y^2} f(t)\,dt 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: u(x+iy) = \frac{1}{\pi}\int_{-\infty}^{\infty} \frac{y}{(x-t)^2 + y^2} f(t)\,dt | Statement: [Poisson integral, halfPlaneFormula, u(x+iy) = \frac{1}{\pi}\int_{-\infty}^{\infty} \frac{y}{(x-t)^2 + y^2} f(t)\,dt]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: halfPlaneFormula
Context triple: [Poisson integral, halfPlaneFormula, u(x+iy) = \frac{1}{\pi}\int_{-\infty}^{\infty} \frac{y}{(x-t)^2 + y^2} f(t)\,dt]
  • A. plane
    Indicates that an entity is a flat, two-dimensional surface extending infinitely in all directions within its dimension.
  • B. perpendicularTo
    Indicates that one entity is oriented at a right angle (90 degrees) to another entity.
  • C. associatedPlane chosen
    Indicates a relationship where one entity is linked or connected to a specific plane, typically as the plane it uses, refers to, or is defined with respect to.
  • D. isInHalf
    Indicates that one entity is located within or belongs to a specified half or subdivision of another entity.
  • E. isOnSlopeOf
    Indicates that one entity is located on the inclined surface or side of another entity, typically a sloping terrain or structure.
  • 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_69e2454a158c819093b8e35f5045efb6 completed April 17, 2026, 2:35 p.m.
NER Named-entity recognition batch_69f1781c2c808190baf6964ca1eced6f completed April 29, 2026, 3:16 a.m.
PD Predicate disambiguation batch_69ee62a6245881909506ff502da14137 completed April 26, 2026, 7:08 p.m.
Created at: April 17, 2026, 3:09 p.m.