Triple

T5685954
Position Surface form Disambiguated ID Type / Status
Subject Regiomontanus E125313 entity
Predicate notableWork P4 FINISHED
Object De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
E541455 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: De triangulis omnimodis | Statement: [Regiomontanus, notableWork, De triangulis omnimodis]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: De triangulis omnimodis
Context triple: [Regiomontanus, notableWork, De triangulis omnimodis]
  • A. 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.
  • B. Euclides adauctus et methodicus
    Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
  • C. Libellus de quinque corporibus regularibus
    Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
  • D. De institutione arithmetica
    De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
  • E. Book II of Geometry (Descartes)
    Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic 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: De triangulis omnimodis
Triple: [Regiomontanus, notableWork, De triangulis omnimodis]
Generated description
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: De triangulis omnimodis
Target entity description: De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • A. 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.
  • B. Euclides adauctus et methodicus
    Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
  • C. Libellus de quinque corporibus regularibus
    Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
  • D. De institutione arithmetica
    De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
  • E. Book II of Geometry (Descartes)
    Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic 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_69c0082a884c8190a79001bae658941f completed March 22, 2026, 3:18 p.m.
NER Named-entity recognition batch_69c023ba52b48190b94f8a3ecff61eb4 completed March 22, 2026, 5:15 p.m.
NED1 Entity disambiguation (via context triple) batch_69c05a40b3808190bc57fde5990ac04e completed March 22, 2026, 9:08 p.m.
NEDg Description generation batch_69c05cd2dea88190bc79ca0a7709e7ca completed March 22, 2026, 9:19 p.m.
NED2 Entity disambiguation (via description) batch_69c05d8c85f88190a1a962794eeecd8d completed March 22, 2026, 9:22 p.m.
Created at: March 22, 2026, 3:44 p.m.