Triple

T36836328
Position Surface form Disambiguated ID Type / Status
Subject Steklov eigenvalue problem E910281 entity
Predicate relatedTo P37 FINISHED
Object Laplace eigenvalue problem
The Laplace eigenvalue problem is a fundamental partial differential equation problem that seeks functions whose Laplacian is proportional to the function itself, playing a central role in mathematical physics, spectral theory, and geometry.
 E2200251 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: Laplace eigenvalue problem | Statement: [Steklov eigenvalue problem, relatedTo, Laplace eigenvalue problem]
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: Laplace eigenvalue problem
Triple: [Steklov eigenvalue problem, relatedTo, Laplace eigenvalue problem]
Generated description
The Laplace eigenvalue problem is a fundamental partial differential equation problem that seeks functions whose Laplacian is proportional to the function itself, playing a central role in mathematical physics, spectral theory, and geometry.

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_69f76e7e9d60819092442fba73290a46 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69f7cf7e03d48190a98fd489ef0bccaf completed May 3, 2026, 10:43 p.m.
NED1 Entity disambiguation (via context triple) batch_6a3dde722de8819088707a69406c30c9 completed June 26, 2026, 2:05 a.m.
NEDg Description generation batch_6a3de007551c8190987f689f90968eed completed June 26, 2026, 2:12 a.m.
NED2 Entity disambiguation (via description) batch_6a3de48f5cc48190b6ede4caf8298853 completed June 26, 2026, 2:31 a.m.
Created at: May 3, 2026, 4:13 p.m.