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.