Triple

T14966190
Position Surface form Disambiguated ID Type / Status
Subject Georg Joachim Rheticus E373193 entity
Predicate notableWork P4 FINISHED
Object Canon doctrinae triangulorum
Canon doctrinae triangulorum is a 16th-century trigonometric table and treatise by Georg Joachim Rheticus that significantly advanced the use of trigonometry in astronomy and mathematics.
E1131753 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: Canon doctrinae triangulorum | Statement: [Georg Joachim Rheticus, notableWork, Canon doctrinae triangulorum]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Canon doctrinae triangulorum
Context triple: [Georg Joachim Rheticus, notableWork, Canon doctrinae triangulorum]
  • A. 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.
  • B. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • 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. 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.
  • E. 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.
  • 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: Canon doctrinae triangulorum
Triple: [Georg Joachim Rheticus, notableWork, Canon doctrinae triangulorum]
Generated description
Canon doctrinae triangulorum is a 16th-century trigonometric table and treatise by Georg Joachim Rheticus that significantly advanced the use of trigonometry in astronomy and mathematics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Canon doctrinae triangulorum
Target entity description: Canon doctrinae triangulorum is a 16th-century trigonometric table and treatise by Georg Joachim Rheticus that significantly advanced the use of trigonometry in astronomy and mathematics.
  • A. 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.
  • B. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • 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. 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.
  • E. 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.
  • 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_69fe969112d8819094e5d81a8ffa3b8a completed May 9, 2026, 2:06 a.m.
NEDg Description generation batch_69fe9947a5848190bb1a27cabdd66939 completed May 9, 2026, 2:17 a.m.
NED2 Entity disambiguation (via description) batch_69fe99e7e03c8190a3c3887e0e22859c completed May 9, 2026, 2:20 a.m.
Created at: April 10, 2026, 2:47 a.m.