Triple

T25676629
Position Surface form Disambiguated ID Type / Status
Subject George David Birkhoff E643822 entity
Predicate notableWork P4 FINISHED
Object Birkhoff’s theorem in projective geometry
Birkhoff’s theorem in projective geometry is a fundamental result that characterizes projective geometries in terms of incidence and order axioms, providing an axiomatic foundation for their structure.
E1691696 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: Birkhoff’s theorem in projective geometry | Statement: [George David Birkhoff, notableWork, Birkhoff’s theorem in projective geometry]
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: Birkhoff’s theorem in projective geometry
Triple: [George David Birkhoff, notableWork, Birkhoff’s theorem in projective geometry]
Generated description
Birkhoff’s theorem in projective geometry is a fundamental result that characterizes projective geometries in terms of incidence and order axioms, providing an axiomatic foundation for their structure.

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_69e77e7f69808190ad27df1006f6037a completed April 21, 2026, 1:41 p.m.
NER Named-entity recognition batch_69f5fb3712cc8190b6e851960cc7c9e9 completed May 2, 2026, 1:25 p.m.
NED1 Entity disambiguation (via context triple) batch_6a10c15d396881909a0825c45463dc38 completed May 22, 2026, 8:49 p.m.
NEDg Description generation batch_6a10c1f3ae208190b3cdc518e83bbc7f completed May 22, 2026, 8:52 p.m.
NED2 Entity disambiguation (via description) batch_6a10c2b0c540819086fe2b0fef3f76d1 completed May 22, 2026, 8:55 p.m.
Created at: April 21, 2026, 7:39 p.m.