Triple

T5658089
Position Surface form Disambiguated ID Type / Status
Subject Euclid E124667 entity
Predicate hasPart P35 FINISHED
Object 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.
E539694 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 X of the Elements | Statement: [Euclid, hasPart, Book X of the Elements]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Book X of the Elements
Context triple: [Euclid, hasPart, Book X of the Elements]
  • A. 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.
  • B. 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.
  • C. Proclus' Chrestomathy
    Proclus' Chrestomathy is a lost ancient Greek work, known through later summaries, that provided prose epitomes of the early epic poems of the Trojan cycle and other pre-Homeric epics.
  • D. Aristotle’s On the Heavens
    Aristotle’s On the Heavens is an influential ancient Greek treatise that presents Aristotle’s cosmology and theories about the structure and motions of the universe.
  • 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 X of the Elements
Triple: [Euclid, hasPart, Book X of the Elements]
Generated description
Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Book X of the Elements
Target entity description: Book X of the Elements is a section of Euclid’s mathematical treatise that systematically develops the theory of irrational magnitudes and incommensurability.
  • A. 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.
  • B. 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.
  • C. Proclus' Chrestomathy
    Proclus' Chrestomathy is a lost ancient Greek work, known through later summaries, that provided prose epitomes of the early epic poems of the Trojan cycle and other pre-Homeric epics.
  • D. Aristotle’s On the Heavens
    Aristotle’s On the Heavens is an influential ancient Greek treatise that presents Aristotle’s cosmology and theories about the structure and motions of the universe.
  • 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_69c0082774a481909d7e63fb2aad56ac completed March 22, 2026, 3:17 p.m.
NER Named-entity recognition batch_69c022fd9b148190bd4aa9c43500949f completed March 22, 2026, 5:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69c05a286dac8190af53fe096cc29a6d completed March 22, 2026, 9:07 p.m.
NEDg Description generation batch_69c05cabceac819095c4a114220efb1a completed March 22, 2026, 9:18 p.m.
NED2 Entity disambiguation (via description) batch_69c05d2b67888190bc89e4cbd384c15f completed March 22, 2026, 9:20 p.m.
Created at: March 22, 2026, 3:42 p.m.