Triple

T29096133
Position Surface form Disambiguated ID Type / Status
Subject Schrödinger equation with point interactions E735006 entity
Predicate relatedTo P37 FINISHED
Object Krein resolvent formula
The Krein resolvent formula is a fundamental result in operator theory that expresses the resolvent of a self-adjoint extension of a symmetric operator in terms of the resolvent of a reference extension and a finite-rank correction, widely used in the analysis of Schrödinger operators with point interactions.
E1851749 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: Krein resolvent formula | Statement: [Schrödinger equation with point interactions, relatedTo, Krein resolvent formula]
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: Krein resolvent formula
Triple: [Schrödinger equation with point interactions, relatedTo, Krein resolvent formula]
Generated description
The Krein resolvent formula is a fundamental result in operator theory that expresses the resolvent of a self-adjoint extension of a symmetric operator in terms of the resolvent of a reference extension and a finite-rank correction, widely used in the analysis of Schrödinger operators with point interactions.

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_69f05b0ed66481908f2e864fa550d2f1 completed April 28, 2026, 7 a.m.
NER Named-entity recognition batch_69f6618129b08190ac4bbb0cd24d957c completed May 2, 2026, 8:41 p.m.
NED1 Entity disambiguation (via context triple) batch_6a2537b4ec788190ba7b9a7d3ecbbffc completed June 7, 2026, 9:19 a.m.
NEDg Description generation batch_6a253bf87598819087116abf2274d649 completed June 7, 2026, 9:38 a.m.
NED2 Entity disambiguation (via description) batch_6a25470a98f48190b7afa02e39675cc3 completed June 7, 2026, 10:25 a.m.
Created at: April 28, 2026, 11:08 a.m.