Triple

T5570721
Position Surface form Disambiguated ID Type / Status
Subject Fermat point E146192 entity
Predicate barycentricCoordinates P10142 FINISHED
Object a·csc(A+π/3) : b·csc(B+π/3) : c·csc(C+π/3) LITERAL FINISHED

How this triple was built (2 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: a·csc(A+π/3) : b·csc(B+π/3) : c·csc(C+π/3) | Statement: [Fermat point, barycentricCoordinates, a·csc(A+π/3) : b·csc(B+π/3) : c·csc(C+π/3)]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: barycentricCoordinates
Context triple: [Fermat point, barycentricCoordinates, a·csc(A+π/3) : b·csc(B+π/3) : c·csc(C+π/3)]
  • A. coordinates
    Indicates that one entity organizes, directs, or harmonizes the actions or efforts of another entity or group to achieve a unified outcome.
  • B. coordinateSystem
    Indicates that one entity defines or uses a particular spatial or reference coordinate system in relation to another entity.
  • C. cornerOfTriangle
    Indicates that the subject is a vertex (corner point) belonging to a specific triangle.
  • D. formsCoordinateCollegeSystemWith
    Indicates that two educational institutions jointly participate in and operate as parts of a shared, coordinated college system.
  • E. hasCoordinates chosen
    Indicates that an entity is associated with specific spatial coordinates that define its position in a given reference system.
  • F. None of above.

Provenance (3 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_69c008ffed108190a084602227af6157 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c020502a288190af37f9ebb88fccae completed March 22, 2026, 5:01 p.m.
PD Predicate disambiguation batch_69c01b12826c8190969a584d0f53aa44 completed March 22, 2026, 4:38 p.m.
Created at: March 22, 2026, 3:37 p.m.