Triple

T34517630
Position Surface form Disambiguated ID Type / Status
Subject Théorie des intersections et théorème de Riemann–Roch E886195 entity
Predicate influenced P9 FINISHED
Object Fulton’s Intersection Theory
Fulton’s Intersection Theory is a foundational modern treatment of intersection theory in algebraic geometry, providing a rigorous and general framework for defining and computing intersections of algebraic cycles on schemes and varieties.
E2100386 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: Fulton’s Intersection Theory | Statement: [Théorie des intersections et théorème de Riemann–Roch, influenced, Fulton’s Intersection Theory]
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: Fulton’s Intersection Theory
Triple: [Théorie des intersections et théorème de Riemann–Roch, influenced, Fulton’s Intersection Theory]
Generated description
Fulton’s Intersection Theory is a foundational modern treatment of intersection theory in algebraic geometry, providing a rigorous and general framework for defining and computing intersections of algebraic cycles on schemes and varieties.

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_69f349ccc290819089d8e82698e53cb6 completed April 30, 2026, 12:23 p.m.
NER Named-entity recognition batch_69f71f95ca408190b438f6444832dade completed May 3, 2026, 10:12 a.m.
NED1 Entity disambiguation (via context triple) batch_6a3729e15a788190b7ffba7044d50616 completed June 21, 2026, 12:01 a.m.
NEDg Description generation batch_6a372a47f6a88190af8922a3af8c5eba completed June 21, 2026, 12:03 a.m.
NED2 Entity disambiguation (via description) batch_6a372acf6ce48190bec089a269da1194 completed June 21, 2026, 12:05 a.m.
Created at: May 1, 2026, 2:01 a.m.