Triple

T14966189
Position Surface form Disambiguated ID Type / Status
Subject Georg Joachim Rheticus E373193 entity
Predicate notableWork P4 FINISHED
Object Opus Palatinum de Triangulis
Opus Palatinum de Triangulis is a major 16th-century mathematical treatise that systematically develops trigonometry, especially trigonometric tables, and significantly advanced astronomical calculation.
E1130713 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: Opus Palatinum de Triangulis | Statement: [Georg Joachim Rheticus, notableWork, Opus Palatinum de Triangulis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Opus Palatinum de Triangulis
Context triple: [Georg Joachim Rheticus, notableWork, Opus Palatinum de Triangulis]
  • A. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • B. De institutione geometrica
    De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
  • C. Practica Geometriae
    Practica Geometriae is a 13th-century mathematical treatise by Leonardo Fibonacci that systematically presents practical and theoretical geometry for use in surveying, measurement, and commerce.
  • D. Treatise on the Circumference
    Treatise on the Circumference is a mathematical work by the 15th-century Persian astronomer and mathematician Jamshid al-Kashi, in which he made highly accurate calculations of π and advanced methods in numerical computation.
  • E. Liber Quadratorum
    Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
  • 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: Opus Palatinum de Triangulis
Triple: [Georg Joachim Rheticus, notableWork, Opus Palatinum de Triangulis]
Generated description
Opus Palatinum de Triangulis is a major 16th-century mathematical treatise that systematically develops trigonometry, especially trigonometric tables, and significantly advanced astronomical calculation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Opus Palatinum de Triangulis
Target entity description: Opus Palatinum de Triangulis is a major 16th-century mathematical treatise that systematically develops trigonometry, especially trigonometric tables, and significantly advanced astronomical calculation.
  • A. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • B. De institutione geometrica
    De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
  • C. Practica Geometriae
    Practica Geometriae is a 13th-century mathematical treatise by Leonardo Fibonacci that systematically presents practical and theoretical geometry for use in surveying, measurement, and commerce.
  • D. Treatise on the Circumference
    Treatise on the Circumference is a mathematical work by the 15th-century Persian astronomer and mathematician Jamshid al-Kashi, in which he made highly accurate calculations of π and advanced methods in numerical computation.
  • E. Liber Quadratorum
    Liber Quadratorum is a 13th-century mathematical treatise by Leonardo Fibonacci that focuses on number theory, particularly problems involving squares and Diophantine equations.
  • 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_69d85ccbbcd48190acb56e7cf104d8ad completed April 10, 2026, 2:13 a.m.
NER Named-entity recognition batch_69ded6e2fdcc8190bffe603db3388736 completed April 15, 2026, 12:08 a.m.
NED1 Entity disambiguation (via context triple) batch_69fe8be122688190b20fe4450786158a completed May 9, 2026, 1:20 a.m.
NEDg Description generation batch_69fe9045dd208190a51e6648c4275ff4 completed May 9, 2026, 1:39 a.m.
NED2 Entity disambiguation (via description) batch_69fe90ec50e081909ab267fee2b069bc completed May 9, 2026, 1:42 a.m.
Created at: April 10, 2026, 2:47 a.m.