Triple

T10304980
Position Surface form Disambiguated ID Type / Status
Subject Cauchy integral formula E241728 entity
Predicate statement P4223 FINISHED
Object If f is holomorphic on an open set containing a simple closed contour Γ and its interior, then for any z0 in the interior, f(z0) = (1/(2πi)) ∮_Γ f(z)/(z−z0) dz LITERAL FINISHED

How this triple was built (1 step)

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: If f is holomorphic on an open set containing a simple closed contour Γ and its interior, then for any z0 in the interior, f(z0) = (1/(2πi)) ∮_Γ f(z)/(z−z0) dz | Statement: [Cauchy integral formula, statement, If f is holomorphic on an open set containing a simple closed contour Γ and its interior, then for any z0 in the interior, f(z0) = (1/(2πi)) ∮_Γ f(z)/(z−z0) dz]

Provenance (2 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_69d381ac38808190a8ca7457c85b625b completed April 6, 2026, 9:49 a.m.
NER Named-entity recognition batch_69d4d309a4508190ad9de37171a64dba completed April 7, 2026, 9:48 a.m.
Created at: April 6, 2026, 11:45 a.m.