Triple

T3757270
Position Surface form Disambiguated ID Type / Status
Subject George Szekeres E82077 entity
Predicate notableWork P4 FINISHED
Object Szekeres configuration
The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
E386033 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: Szekeres configuration | Statement: [George Szekeres, notableWork, Szekeres configuration]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Szekeres configuration
Context triple: [George Szekeres, notableWork, Szekeres configuration]
  • A. Fano plane
    The Fano plane is the smallest finite projective plane, consisting of seven points and seven lines with rich symmetrical and combinatorial properties.
  • B. Conway circle theorem
    The Conway circle theorem is a geometric result in triangle geometry that identifies a special circle associated with a triangle and certain constructed points, revealing notable collinearities and concyclicity relationships.
  • C. de Bruijn–Erdős theorem
    The de Bruijn–Erdős theorem is a fundamental result in combinatorics and graph theory that relates finite and infinite structures, notably asserting that certain properties of infinite graphs or set systems are determined by their finite substructures.
  • D. Clebsch
    Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
  • E. Plücker
    Plücker is a German surname most notably associated with Julius Plücker, a 19th-century mathematician and physicist known for his contributions to analytic and projective 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: Szekeres configuration
Triple: [George Szekeres, notableWork, Szekeres configuration]
Generated description
The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Szekeres configuration
Target entity description: The Szekeres configuration is a notable geometric arrangement in projective geometry consisting of points and lines with specific incidence properties, studied for its combinatorial and symmetry characteristics.
  • A. Fano plane
    The Fano plane is the smallest finite projective plane, consisting of seven points and seven lines with rich symmetrical and combinatorial properties.
  • B. Conway circle theorem
    The Conway circle theorem is a geometric result in triangle geometry that identifies a special circle associated with a triangle and certain constructed points, revealing notable collinearities and concyclicity relationships.
  • C. de Bruijn–Erdős theorem
    The de Bruijn–Erdős theorem is a fundamental result in combinatorics and graph theory that relates finite and infinite structures, notably asserting that certain properties of infinite graphs or set systems are determined by their finite substructures.
  • D. Clebsch
    Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
  • E. Plücker
    Plücker is a German surname most notably associated with Julius Plücker, a 19th-century mathematician and physicist known for his contributions to analytic and projective 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_69ad8b1db40081908b61ffa6b78afd4d completed March 8, 2026, 2:43 p.m.
NER Named-entity recognition batch_69adcbbe7a6081909b0f835a77941300 completed March 8, 2026, 7:19 p.m.
NED1 Entity disambiguation (via context triple) batch_69b4e50bfdb0819097bdfdd38f553ada completed March 14, 2026, 4:33 a.m.
NEDg Description generation batch_69b4e6c7164881909f14bf5b57916ae3 completed March 14, 2026, 4:40 a.m.
NED2 Entity disambiguation (via description) batch_69b4e74df9b481909d5286c64ae6d91a completed March 14, 2026, 4:42 a.m.
Created at: March 8, 2026, 3:35 p.m.