Triple

T36468793
Position Surface form Disambiguated ID Type / Status
Subject Mostow rigidity theorem E898487 entity
Predicate hasGeneralization P2372 FINISHED
Object Margulis superrigidity theorem
The Margulis superrigidity theorem is a fundamental result in the theory of lattices in Lie groups that shows homomorphisms from higher-rank arithmetic lattices into linear groups essentially extend to the entire ambient Lie group, with deep consequences in geometry, group theory, and number theory.
E2186184 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: Margulis superrigidity theorem | Statement: [Mostow rigidity theorem, hasGeneralization, Margulis superrigidity 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: Margulis superrigidity theorem
Triple: [Mostow rigidity theorem, hasGeneralization, Margulis superrigidity theorem]
Generated description
The Margulis superrigidity theorem is a fundamental result in the theory of lattices in Lie groups that shows homomorphisms from higher-rank arithmetic lattices into linear groups essentially extend to the entire ambient Lie group, with deep consequences in geometry, group theory, and number theory.

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_69f76e58ebd88190b75d9b169b59d793 completed May 3, 2026, 3:48 p.m.
NER Named-entity recognition batch_69f7bdd157d8819080d5458ddfd73084 completed May 3, 2026, 9:27 p.m.
NED1 Entity disambiguation (via context triple) batch_6a39cfd308d08190abcc9238d2060a78 completed June 23, 2026, 12:14 a.m.
NEDg Description generation batch_6a39d3ea5e4481909db900a655c387cd completed June 23, 2026, 12:31 a.m.
NED2 Entity disambiguation (via description) batch_6a39d46e171c8190bf55f47096200625 completed June 23, 2026, 12:33 a.m.
Created at: May 3, 2026, 4:10 p.m.