Triple

T21047243
Position Surface form Disambiguated ID Type / Status
Subject Lindelöf theorem in complex analysis E518479 entity
Predicate usesConcept P531 FINISHED
Object Stolz angles
Stolz angles are specific angular regions in the complex plane used to control the approach to boundary points, particularly in the study of boundary behavior of analytic functions.
E1463337 NE FINISHED

How this triple was built (4 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: Stolz angles | Statement: [Lindelöf theorem in complex analysis, usesConcept, Stolz angles]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Stolz angles
Context triple: [Lindelöf theorem in complex analysis, usesConcept, Stolz angles]
  • A. Angles
    The Angles were a Germanic people who migrated to Britain in the early Middle Ages and gave their name to England and the English.
  • B. Angles
    Angles is the fourth studio album by American rock band The Strokes, known for its eclectic sound and a return to the band's early guitar-driven style.
  • C. The Angle
    The Angle is a prominent battlefield site at Gettysburg, marking the focal point of Pickett’s Charge and often referred to as the “High Water Mark of the Confederacy.”
  • D. The Angle
    The Angle is a region in J.R.R. Tolkien’s Middle-earth, situated between the rivers Bruinen and Mitheithel in Eriador and known as a homeland of many Dúnedain of the North.
  • E. On the Angle
    On the Angle is an ancient mathematical treatise, attributed to the Peripatetic philosopher Eudemus of Rhodes, that examined the properties and theory of angles within early Greek geometry.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Stolz angles
Triple: [Lindelöf theorem in complex analysis, usesConcept, Stolz angles]
Generated description
Stolz angles are specific angular regions in the complex plane used to control the approach to boundary points, particularly in the study of boundary behavior of analytic functions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Stolz angles
Target entity description: Stolz angles are specific angular regions in the complex plane used to control the approach to boundary points, particularly in the study of boundary behavior of analytic functions.
  • A. Angles
    The Angles were a Germanic people who migrated to Britain in the early Middle Ages and gave their name to England and the English.
  • B. Angles
    Angles is the fourth studio album by American rock band The Strokes, known for its eclectic sound and a return to the band's early guitar-driven style.
  • C. The Angle
    The Angle is a prominent battlefield site at Gettysburg, marking the focal point of Pickett’s Charge and often referred to as the “High Water Mark of the Confederacy.”
  • D. The Angle
    The Angle is a region in J.R.R. Tolkien’s Middle-earth, situated between the rivers Bruinen and Mitheithel in Eriador and known as a homeland of many Dúnedain of the North.
  • E. On the Angle
    On the Angle is an ancient mathematical treatise, attributed to the Peripatetic philosopher Eudemus of Rhodes, that examined the properties and theory of angles within early Greek geometry.
  • F. None of above. chosen

Provenance (5 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_69e0b50438e08190917e2538bb8bc034 completed April 16, 2026, 10:08 a.m.
NER Named-entity recognition batch_69e6fcf4d26481908b639996500a8319 completed April 21, 2026, 4:28 a.m.
NED1 Entity disambiguation (via context triple) batch_6a09475512b081908ceb38a118b0f026 completed May 17, 2026, 4:43 a.m.
NEDg Description generation batch_6a09489e80288190b401d11ccde39dc1 completed May 17, 2026, 4:48 a.m.
NED2 Entity disambiguation (via description) batch_6a094995d5bc8190b25d328dbf06b8b1 completed May 17, 2026, 4:52 a.m.
Created at: April 16, 2026, 2:34 p.m.