Triple

T21784013
Position Surface form Disambiguated ID Type / Status
Subject Book V of the Elements E537787 entity
Predicate usedIn P98 FINISHED
Object Book VI of the Elements
Book VI of the Elements is a section of Euclid’s mathematical treatise that develops the theory of similar figures and proportional reasoning in plane geometry.
 E1501891 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: Book VI of the Elements | Statement: [Book V of the Elements, usedIn, Book VI of the Elements]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Book VI of the Elements
Context triple: [Book V of the Elements, usedIn, Book VI of the Elements]
  • A. Book XII of Euclid's Elements
    Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
  • B. Book X of the Elements
    Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
  • C. Book XIII of Euclid's Elements
    Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
  • D. Book V of the Elements
    Book V of the Elements is the section of Euclid’s mathematical treatise that rigorously develops the general theory of proportion, foundational for real number and magnitude theory in geometry.
  • E. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • 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: Book VI of the Elements
Triple: [Book V of the Elements, usedIn, Book VI of the Elements]
Generated description
Book VI of the Elements is a section of Euclid’s mathematical treatise that develops the theory of similar figures and proportional reasoning in plane geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Book VI of the Elements
Target entity description: Book VI of the Elements is a section of Euclid’s mathematical treatise that develops the theory of similar figures and proportional reasoning in plane geometry.
  • A. Book XII of Euclid's Elements
    Book XII of Euclid's Elements is a foundational mathematical text that develops the method of exhaustion to rigorously determine areas and volumes of curved figures such as circles, cones, and spheres.
  • B. Book X of the Elements
    Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
  • C. Book XIII of Euclid's Elements
    Book XIII of Euclid's Elements is the concluding book of Euclid’s mathematical treatise, focusing on the construction and properties of the five regular Platonic solids within the framework of classical Greek geometry.
  • D. Book V of the Elements
    Book V of the Elements is the section of Euclid’s mathematical treatise that rigorously develops the general theory of proportion, foundational for real number and magnitude theory in geometry.
  • E. Euclid's Elements
    Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
  • 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_69e0c47198f881908cb0d237266c10e9 completed April 16, 2026, 11:13 a.m.
NER Named-entity recognition batch_69f046303d54819096b3fab4ab5678e6 completed April 28, 2026, 5:31 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0a3e6f77cc81909ff2ca8b6c8e57e0 completed May 17, 2026, 10:17 p.m.
NEDg Description generation batch_6a0a3f5813a081909f253f04ca218559 completed May 17, 2026, 10:21 p.m.
NED2 Entity disambiguation (via description) batch_6a0a400831d881909631e1accd5618f1 completed May 17, 2026, 10:24 p.m.
Created at: April 16, 2026, 6:52 p.m.