Triple

T36640679
Position Surface form Disambiguated ID Type / Status
Subject Darboux's law of intermediate values E904573 entity
Predicate relatedTo P37 FINISHED
Object Bolzano's theorem
Bolzano's theorem is a fundamental result in real analysis stating that a continuous function on a closed interval that takes values of opposite sign at the endpoints must have at least one root within that interval.
E2192781 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: Bolzano's theorem | Statement: [Darboux's law of intermediate values, relatedTo, Bolzano's theorem]
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: Bolzano's theorem
Triple: [Darboux's law of intermediate values, relatedTo, Bolzano's theorem]
Generated description
Bolzano's theorem is a fundamental result in real analysis stating that a continuous function on a closed interval that takes values of opposite sign at the endpoints must have at least one root within that interval.

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_69f76e6c63e48190b1d0c3a79a6c7406 completed May 3, 2026, 3:49 p.m.
NER Named-entity recognition batch_69f7c4da9ec88190a0f6709ba5af6f57 completed May 3, 2026, 9:57 p.m.
NED1 Entity disambiguation (via context triple) batch_6a3a09726fcc81909bb8601d6b5b0282 completed June 23, 2026, 4:20 a.m.
NEDg Description generation batch_6a3a0d57e030819081b526e0ecfac631 completed June 23, 2026, 4:36 a.m.
NED2 Entity disambiguation (via description) batch_6a3a0e0d65348190abd40b8a1fbd76d1 completed June 23, 2026, 4:39 a.m.
Created at: May 3, 2026, 4:11 p.m.