Triple

T14334630
Position Surface form Disambiguated ID Type / Status
Subject mock theta functions E355437 entity
Predicate clarifiedBy P519 FINISHED
Object Sander Zwegers
Sander Zwegers is a mathematician known for his groundbreaking work on mock theta functions, which linked them to harmonic Maass forms and transformed their role in number theory and modular forms.
E1094046 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: Sander Zwegers | Statement: [mock theta functions, clarifiedBy, Sander Zwegers]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Sander Zwegers
Context triple: [mock theta functions, clarifiedBy, Sander Zwegers]
  • A. Don Zagier
    Don Zagier is a prominent mathematician renowned for his deep contributions to number theory, particularly in the areas of modular forms, zeta functions, and arithmetic geometry.
  • B. Gerhard Frey
    Gerhard Frey is a German mathematician best known for his work on elliptic curves and for formulating the Frey curve, which played a key role in the eventual proof of Fermat’s Last Theorem.
  • C. Leo Pochhammer
    Leo Pochhammer was a German mathematician known for his contributions to special functions and for introducing the Pochhammer symbol used in mathematical analysis.
  • D. Victor S. Miller
    Victor S. Miller is an American mathematician and cryptographer best known for co-inventing elliptic curve cryptography, a foundational technology in modern public-key cryptography.
  • E. Ken Ono
    Ken Ono is an American mathematician renowned for his work in number theory, particularly on modular forms and partition functions.
  • 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: Sander Zwegers
Triple: [mock theta functions, clarifiedBy, Sander Zwegers]
Generated description
Sander Zwegers is a mathematician known for his groundbreaking work on mock theta functions, which linked them to harmonic Maass forms and transformed their role in number theory and modular forms.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Sander Zwegers
Target entity description: Sander Zwegers is a mathematician known for his groundbreaking work on mock theta functions, which linked them to harmonic Maass forms and transformed their role in number theory and modular forms.
  • A. Don Zagier
    Don Zagier is a prominent mathematician renowned for his deep contributions to number theory, particularly in the areas of modular forms, zeta functions, and arithmetic geometry.
  • B. Gerhard Frey
    Gerhard Frey is a German mathematician best known for his work on elliptic curves and for formulating the Frey curve, which played a key role in the eventual proof of Fermat’s Last Theorem.
  • C. Leo Pochhammer
    Leo Pochhammer was a German mathematician known for his contributions to special functions and for introducing the Pochhammer symbol used in mathematical analysis.
  • D. Victor S. Miller
    Victor S. Miller is an American mathematician and cryptographer best known for co-inventing elliptic curve cryptography, a foundational technology in modern public-key cryptography.
  • E. Ken Ono
    Ken Ono is an American mathematician renowned for his work in number theory, particularly on modular forms and partition functions.
  • 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_69d8278fa2108190bc0d0e7939c1eb03 completed April 9, 2026, 10:26 p.m.
NER Named-entity recognition batch_69de8c20d2148190bb534bef338e871d completed April 14, 2026, 6:49 p.m.
NED1 Entity disambiguation (via context triple) batch_69fd469634688190980df59ee482b792 completed May 8, 2026, 2:12 a.m.
NEDg Description generation batch_69fd47e2b8d481909ed8274a96615b36 completed May 8, 2026, 2:18 a.m.
NED2 Entity disambiguation (via description) batch_69fd4879b2688190ac208545ae226c93 completed May 8, 2026, 2:20 a.m.
Created at: April 10, 2026, 1:13 a.m.