Triple

T22423450
Position Surface form Disambiguated ID Type / Status
Subject Erdős–Moser equation E554305 entity
Predicate namedAfter P63 FINISHED
Object Leo Moser
Leo Moser was a 20th-century Austrian-Canadian mathematician known for his work in number theory and combinatorics, including the study of the Erdős–Moser equation.
E1536261 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: Leo Moser | Statement: [Erdős–Moser equation, namedAfter, Leo Moser]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Leo Moser
Context triple: [Erdős–Moser equation, namedAfter, Leo Moser]
  • A. Kurt Mislow
    Kurt Mislow was a prominent theoretical and stereochemist known for his influential work on molecular chirality and the foundations of stereochemistry.
  • B. Leo J. Frachtenberg
    Leo J. Frachtenberg was an early 20th-century American anthropologist and linguist known for his documentation and analysis of Native American languages of the Pacific Northwest, including Siuslaw.
  • C. Mal Beineke
    Mal Beineke is a conservative, uptight father character in the Broadway musical "The Addams Family," whose visit to the Addams household sparks comedic culture clashes and personal transformation.
  • D. Hans Lewy
    Hans Lewy was a German-American mathematician known for his influential work in partial differential equations and numerical analysis, including co-formulating the Courant–Friedrichs–Lewy (CFL) condition.
  • E. Bernard Jaffe
    Bernard Jaffe is a philosophical existential detective in the film "I Heart Huckabees," known for probing the meaning and interconnectedness of his clients' lives.
  • 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: Leo Moser
Triple: [Erdős–Moser equation, namedAfter, Leo Moser]
Generated description
Leo Moser was a 20th-century Austrian-Canadian mathematician known for his work in number theory and combinatorics, including the study of the Erdős–Moser equation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Leo Moser
Target entity description: Leo Moser was a 20th-century Austrian-Canadian mathematician known for his work in number theory and combinatorics, including the study of the Erdős–Moser equation.
  • A. Kurt Mislow
    Kurt Mislow was a prominent theoretical and stereochemist known for his influential work on molecular chirality and the foundations of stereochemistry.
  • B. Leo J. Frachtenberg
    Leo J. Frachtenberg was an early 20th-century American anthropologist and linguist known for his documentation and analysis of Native American languages of the Pacific Northwest, including Siuslaw.
  • C. Mal Beineke
    Mal Beineke is a conservative, uptight father character in the Broadway musical "The Addams Family," whose visit to the Addams household sparks comedic culture clashes and personal transformation.
  • D. Hans Lewy
    Hans Lewy was a German-American mathematician known for his influential work in partial differential equations and numerical analysis, including co-formulating the Courant–Friedrichs–Lewy (CFL) condition.
  • E. Bernard Jaffe
    Bernard Jaffe is a philosophical existential detective in the film "I Heart Huckabees," known for probing the meaning and interconnectedness of his clients' lives.
  • 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_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0af0f06cec8190a911ab9a867c0596 completed May 18, 2026, 10:58 a.m.
NEDg Description generation batch_6a0af2c6151881908f85a7c3c751cea9 completed May 18, 2026, 11:06 a.m.
NED2 Entity disambiguation (via description) batch_6a0b08e411048190a368214c57c35d5e completed May 18, 2026, 12:41 p.m.
Created at: April 16, 2026, 8:47 p.m.