Triple

T5425442
Position Surface form Disambiguated ID Type / Status
Subject Sperner's lemma E121351 entity
Predicate namedAfter P63 FINISHED
Object Emanuel Sperner
Emanuel Sperner was a German mathematician known for his contributions to combinatorics and lattice theory, including the formulation of Sperner's lemma and Sperner's theorem.
E518468 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: Emanuel Sperner | Statement: [Sperner's lemma, namedAfter, Emanuel Sperner]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Emanuel Sperner
Context triple: [Sperner's lemma, namedAfter, Emanuel Sperner]
  • A. Max Edrei
    Max Edrei was a French architect best known for co-designing the monumental Douaumont Ossuary commemorating soldiers who died in the Battle of Verdun during World War I.
  • B. Hans Zassenhaus
    Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
  • C. Ernst Specker
    Ernst Specker was a Swiss mathematician best known for his foundational work in logic and the co-discovery of the Kochen–Specker theorem in quantum mechanics.
  • D. Max Dehn
    Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
  • E. Andreas Speiser
    Andreas Speiser was a Swiss mathematician known for his work in group theory, algebra, and the history and philosophy of mathematics.
  • 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: Emanuel Sperner
Triple: [Sperner's lemma, namedAfter, Emanuel Sperner]
Generated description
Emanuel Sperner was a German mathematician known for his contributions to combinatorics and lattice theory, including the formulation of Sperner's lemma and Sperner's theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Emanuel Sperner
Target entity description: Emanuel Sperner was a German mathematician known for his contributions to combinatorics and lattice theory, including the formulation of Sperner's lemma and Sperner's theorem.
  • A. Max Edrei
    Max Edrei was a French architect best known for co-designing the monumental Douaumont Ossuary commemorating soldiers who died in the Battle of Verdun during World War I.
  • B. Hans Zassenhaus
    Hans Zassenhaus was a German mathematician known for his contributions to group theory, algebra, and computational algebra, including the development of the Zassenhaus algorithm and Zassenhaus lemma.
  • C. Ernst Specker
    Ernst Specker was a Swiss mathematician best known for his foundational work in logic and the co-discovery of the Kochen–Specker theorem in quantum mechanics.
  • D. Max Dehn
    Max Dehn was a German mathematician known for his foundational work in topology and group theory, including the introduction of Dehn surgery and the study of decision problems in group theory.
  • E. Andreas Speiser
    Andreas Speiser was a Swiss mathematician known for his work in group theory, algebra, and the history and philosophy of mathematics.
  • 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_69bd463b58d88190b258261573de9e91 completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd881598448190a9bb456dee36004b completed March 20, 2026, 5:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf3abfc7e88190b8f0a31b61c33973 completed March 22, 2026, 12:41 a.m.
NEDg Description generation batch_69bf3b592a08819090e2873bcf4e797f completed March 22, 2026, 12:44 a.m.
NED2 Entity disambiguation (via description) batch_69bf3c0b9e5481909101eccbd55f24b2 completed March 22, 2026, 12:47 a.m.
Created at: March 20, 2026, 2:06 p.m.