Triple

T10991849
Position Surface form Disambiguated ID Type / Status
Subject Schwarz lemma E259769 entity
Predicate equalityCaseDescription P52973 FINISHED
Object f(z) = e^{iθ} z for some real θ LITERAL 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: f(z) = e^{iθ} z for some real θ | Statement: [Schwarz lemma, equalityCaseDescription, f(z) = e^{iθ} z for some real θ]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: equalityCaseDescription
Context triple: [Schwarz lemma, equalityCaseDescription, f(z) = e^{iθ} z for some real θ]
  • A. equalityCondition chosen
    Indicates that two values, expressions, or attributes must be exactly the same for the condition to be satisfied.
  • B. indexCaseDescription
    Indicates a textual description that explains the circumstances, characteristics, or details of the initial or primary case in a set of related cases.
  • C. legalEquivalence
    Indicates that two legal entities, statuses, or provisions are considered to have the same legal effect, standing, or validity within a given legal framework.
  • D. differenceDescription
    Indicates a textual explanation that characterizes how two entities differ from each other.
  • E. conditionsDescribedAs
    Indicates that one entity is described or characterized in terms of certain conditions specified by another entity.
  • F. None of above.

Provenance (3 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
PD Predicate disambiguation batch_69d72e93ac648190b46c5d12bf3eb1e9 completed April 9, 2026, 4:44 a.m.
Created at: April 8, 2026, 9:24 p.m.