Triple

T3757267
Position Surface form Disambiguated ID Type / Status
Subject George Szekeres E82077 entity
Predicate notableWork P4 FINISHED
Object Happy Ending problem
The Happy Ending problem is a famous combinatorial geometry question that investigates the minimum number of points in general position in the plane needed to guarantee the existence of a convex polygon with a given number of vertices.
E386030 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: Happy Ending problem | Statement: [George Szekeres, notableWork, Happy Ending problem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Happy Ending problem
Context triple: [George Szekeres, notableWork, Happy Ending problem]
  • A. The Happy Ending
    The Happy Ending is a 1969 American drama film written and directed by Richard Brooks, starring Jean Simmons as a disillusioned housewife who abruptly leaves her comfortable suburban life in search of independence and self-discovery.
  • B. "Happy Ending"
    "Happy Ending" is a pop song by British singer-songwriter Mika, known for its emotive lyrics and soaring, melodic chorus.
  • C. Conway's 99-graph problem
    Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
  • D. Happy Endings
    Happy Endings is an American ensemble sitcom that follows a close-knit group of friends navigating relationships and adulthood in Chicago with fast-paced, joke-heavy humor.
  • E. Meeting Across the River
    "Meeting Across the River" is a moody, jazz-tinged ballad by Bruce Springsteen that serves as a cinematic, character-driven prelude to "Jungleland" on the Born to Run album.
  • 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: Happy Ending problem
Triple: [George Szekeres, notableWork, Happy Ending problem]
Generated description
The Happy Ending problem is a famous combinatorial geometry question that investigates the minimum number of points in general position in the plane needed to guarantee the existence of a convex polygon with a given number of vertices.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Happy Ending problem
Target entity description: The Happy Ending problem is a famous combinatorial geometry question that investigates the minimum number of points in general position in the plane needed to guarantee the existence of a convex polygon with a given number of vertices.
  • A. The Happy Ending
    The Happy Ending is a 1969 American drama film written and directed by Richard Brooks, starring Jean Simmons as a disillusioned housewife who abruptly leaves her comfortable suburban life in search of independence and self-discovery.
  • B. "Happy Ending"
    "Happy Ending" is a pop song by British singer-songwriter Mika, known for its emotive lyrics and soaring, melodic chorus.
  • C. Conway's 99-graph problem
    Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
  • D. Happy Endings
    Happy Endings is an American ensemble sitcom that follows a close-knit group of friends navigating relationships and adulthood in Chicago with fast-paced, joke-heavy humor.
  • E. Meeting Across the River
    "Meeting Across the River" is a moody, jazz-tinged ballad by Bruce Springsteen that serves as a cinematic, character-driven prelude to "Jungleland" on the Born to Run album.
  • 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.