Triple

T20563945
Position Surface form Disambiguated ID Type / Status
Subject Borel–Weil theorem E504917 entity
Predicate usesObject P4791 FINISHED
Object flag variety G/B
The flag variety G/B is a fundamental geometric object in representation theory, parametrizing all Borel subgroups (or complete flags) of a reductive algebraic group G and serving as the stage for realizing its representations via line bundles.
E1438708 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: flag variety G/B | Statement: [Borel–Weil theorem, usesObject, flag variety G/B]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: flag variety G/B
Context triple: [Borel–Weil theorem, usesObject, flag variety G/B]
  • A. Flag
    Flag is a famous 1954–55 encaustic painting by American artist Jasper Johns that depicts the U.S. flag and became a landmark work bridging Abstract Expressionism and Pop Art.
  • B. Flag
    Flag is a 1979 studio album by American singer-songwriter James Taylor that features a mix of original songs and notable covers, including his hit rendition of "Up on the Roof."
  • C. rainbow flag
    The rainbow flag is a multicolored symbol of LGBTQ+ pride, diversity, and social movements for queer rights and visibility worldwide.
  • D. Fleurdelisé flag
    The Fleurdelisé flag is the official flag of Quebec, featuring a white cross on a blue field with four white fleurs-de-lis, and is widely recognized as a symbol of Quebec’s identity and cultural pride.
  • E. Gwenn-ha-du flag
    The Gwenn-ha-du flag is the modern black-and-white banner that symbolizes the cultural and historical identity of Brittany in northwestern France.
  • 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: flag variety G/B
Triple: [Borel–Weil theorem, usesObject, flag variety G/B]
Generated description
The flag variety G/B is a fundamental geometric object in representation theory, parametrizing all Borel subgroups (or complete flags) of a reductive algebraic group G and serving as the stage for realizing its representations via line bundles.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: flag variety G/B
Target entity description: The flag variety G/B is a fundamental geometric object in representation theory, parametrizing all Borel subgroups (or complete flags) of a reductive algebraic group G and serving as the stage for realizing its representations via line bundles.
  • A. Flag
    Flag is a famous 1954–55 encaustic painting by American artist Jasper Johns that depicts the U.S. flag and became a landmark work bridging Abstract Expressionism and Pop Art.
  • B. Flag
    Flag is a 1979 studio album by American singer-songwriter James Taylor that features a mix of original songs and notable covers, including his hit rendition of "Up on the Roof."
  • C. rainbow flag
    The rainbow flag is a multicolored symbol of LGBTQ+ pride, diversity, and social movements for queer rights and visibility worldwide.
  • D. Fleurdelisé flag
    The Fleurdelisé flag is the official flag of Quebec, featuring a white cross on a blue field with four white fleurs-de-lis, and is widely recognized as a symbol of Quebec’s identity and cultural pride.
  • E. Gwenn-ha-du flag
    The Gwenn-ha-du flag is the modern black-and-white banner that symbolizes the cultural and historical identity of Brittany in northwestern France.
  • 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_69e0b4b6587c8190aee63dc7cff244ea completed April 16, 2026, 10:06 a.m.
NER Named-entity recognition batch_69e6a7a0a0488190a534050b40ff47da completed April 20, 2026, 10:24 p.m.
NED1 Entity disambiguation (via context triple) batch_6a08acde0880819091934642e4440621 completed May 16, 2026, 5:43 p.m.
NEDg Description generation batch_6a08adf778fc819087fa57048192829e completed May 16, 2026, 5:48 p.m.
NED2 Entity disambiguation (via description) batch_6a08aeaf2be88190bac218c7de1544fc completed May 16, 2026, 5:51 p.m.
Created at: April 16, 2026, 11:39 a.m.