Triple
T32283329
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Alex Eskin |
E824757
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Eskin–Mirzakhani–Mohammadi classification of invariant measures
The Eskin–Mirzakhani–Mohammadi classification of invariant measures is a landmark result in homogeneous dynamics and Teichmüller theory that describes all SL(2,ℝ)-invariant measures and orbit closures on moduli spaces of translation surfaces, with deep consequences for billiards and flat geometry.
|
E2000867
|
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: Eskin–Mirzakhani–Mohammadi classification of invariant measures | Statement: [Alex Eskin, notableWork, Eskin–Mirzakhani–Mohammadi classification of invariant measures]
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: Eskin–Mirzakhani–Mohammadi classification of invariant measures Triple: [Alex Eskin, notableWork, Eskin–Mirzakhani–Mohammadi classification of invariant measures]
Generated description
The Eskin–Mirzakhani–Mohammadi classification of invariant measures is a landmark result in homogeneous dynamics and Teichmüller theory that describes all SL(2,ℝ)-invariant measures and orbit closures on moduli spaces of translation surfaces, with deep consequences for billiards and flat geometry.
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_69f3490f404081908450db66884f4334 |
completed | April 30, 2026, 12:20 p.m. |
| NER | Named-entity recognition | batch_69f6bccd1aa88190882a5dbb8100ca1e |
completed | May 3, 2026, 3:11 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a2f46ec2ad881908ba78cb0d030c99c |
completed | June 15, 2026, 12:27 a.m. |
| NEDg | Description generation | batch_6a2f481af6f081909c675376d09345df |
completed | June 15, 2026, 12:32 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a301ae519348190a8563be3d2c124d0 |
completed | June 15, 2026, 3:31 p.m. |
Created at: May 1, 2026, 12:43 a.m.