Triple

T34418873
Position Surface form Disambiguated ID Type / Status
Subject Serre vanishing theorem E883473 entity
Predicate quantifier P4227 FINISHED
Object there exists n_0 such that for all n \ge n_0 higher cohomology vanishes 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: there exists n_0 such that for all n \ge n_0 higher cohomology vanishes | Statement: [Serre vanishing theorem, quantifier, there exists n_0 such that for all n \ge n_0 higher cohomology vanishes]

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_69f349c2e3b88190a67834eb5bcffeaf completed April 30, 2026, 12:23 p.m.
NER Named-entity recognition batch_69f718d9ae648190a4d4bffaa8a5c606 completed May 3, 2026, 9:43 a.m.
Created at: May 1, 2026, 2 a.m.