Triple

T27748615
Position Surface form Disambiguated ID Type / Status
Subject Jacobi's inversion problem E702055 entity
Predicate solvedBy P8791 FINISHED
Object Riemann's theory of Abelian integrals
Riemann's theory of Abelian integrals is a foundational framework in complex analysis and algebraic geometry that studies integrals of algebraic functions on Riemann surfaces, leading to deep results about inversion problems, periods, and the structure of algebraic curves.
E1786977 NE FINISHED

How this triple was built (2 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: Riemann's theory of Abelian integrals | Statement: [Jacobi's inversion problem, solvedBy, Riemann's theory of Abelian integrals]
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: Riemann's theory of Abelian integrals
Triple: [Jacobi's inversion problem, solvedBy, Riemann's theory of Abelian integrals]
Generated description
Riemann's theory of Abelian integrals is a foundational framework in complex analysis and algebraic geometry that studies integrals of algebraic functions on Riemann surfaces, leading to deep results about inversion problems, periods, and the structure of algebraic curves.

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_69ef6a53c7388190899baa6daf42301c completed April 27, 2026, 1:53 p.m.
NER Named-entity recognition batch_69f6371c6454819099f05f09d60a374c completed May 2, 2026, 5:40 p.m.
NED1 Entity disambiguation (via context triple) batch_6a12e47db99081909b438955637aa296 completed May 24, 2026, 11:43 a.m.
NEDg Description generation batch_6a12e5970df88190923224d331fcb41d completed May 24, 2026, 11:48 a.m.
NED2 Entity disambiguation (via description) batch_6a12e6cfffd4819098e7fc01a09f2a7c completed May 24, 2026, 11:53 a.m.
Created at: April 27, 2026, 4:18 p.m.