Triple

T24823580
Position Surface form Disambiguated ID Type / Status
Subject Introduction to Symplectic Topology E621124 entity
Predicate topic P261 FINISHED
Object Moser’s stability theorem
Moser’s stability theorem is a fundamental result in symplectic geometry that guarantees, under suitable conditions, the existence of a diffeomorphism relating smoothly varying volume or symplectic forms, showing that such structures are locally unique up to isotopy.
E1654168 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: Moser’s stability theorem | Statement: [Introduction to Symplectic Topology, topic, Moser’s stability 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: Moser’s stability theorem
Triple: [Introduction to Symplectic Topology, topic, Moser’s stability theorem]
Generated description
Moser’s stability theorem is a fundamental result in symplectic geometry that guarantees, under suitable conditions, the existence of a diffeomorphism relating smoothly varying volume or symplectic forms, showing that such structures are locally unique up to isotopy.

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_69e2fac0c3b881909110e5a56c6fa46f completed April 18, 2026, 3:30 a.m.
NER Named-entity recognition batch_69f4229b1f108190a64465ee8c6d52d6 completed May 1, 2026, 3:48 a.m.
NED1 Entity disambiguation (via context triple) batch_6a101c42245481908c36d3b775b615ff completed May 22, 2026, 9:05 a.m.
NEDg Description generation batch_6a102814f838819094ed41d653039f72 completed May 22, 2026, 9:55 a.m.
NED2 Entity disambiguation (via description) batch_6a10294485508190a91d9ec391181047 completed May 22, 2026, 10 a.m.
Created at: April 18, 2026, 5:05 a.m.