Triple

T1056978
Position Surface form Disambiguated ID Type / Status
Subject Euclidean space E22816 entity
Predicate hasIsometryGroup P14251 FINISHED
Object E(n)
E(n) is the Euclidean group of dimension n, consisting of all distance-preserving transformations (rotations, reflections, and translations) of n-dimensional Euclidean space.
 E121355 NE FINISHED

How this triple was built (4 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: E(n) | Statement: [Euclidean space, hasIsometryGroup, E(n)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: E(n)
Context triple: [Euclidean space, hasIsometryGroup, E(n)]
  • A. N
    The N is a New York City Subway service that runs along the Broadway Line in Manhattan and connects Queens, Manhattan, and Brooklyn.
  • B. Enz
    The Enz is a river in southwestern Germany that flows through the Black Forest region before joining the Neckar River.
  • C. NE
    NE is the common abbreviation for the New England Revolution, a professional Major League Soccer club based in the Greater Boston area.
  • D. NE
    NE is the official two-letter United States Postal Service abbreviation used to designate the state of Nebraska.
  • E. E.I.
    "E.I." is a hit hip-hop single by American rapper Nelly from his debut album "Country Grammar."
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
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: E(n)
Triple: [Euclidean space, hasIsometryGroup, E(n)]
Generated description
E(n) is the Euclidean group of dimension n, consisting of all distance-preserving transformations (rotations, reflections, and translations) of n-dimensional Euclidean space.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: E(n)
Target entity description: E(n) is the Euclidean group of dimension n, consisting of all distance-preserving transformations (rotations, reflections, and translations) of n-dimensional Euclidean space.
  • A. N
    The N is a New York City Subway service that runs along the Broadway Line in Manhattan and connects Queens, Manhattan, and Brooklyn.
  • B. Enz
    The Enz is a river in southwestern Germany that flows through the Black Forest region before joining the Neckar River.
  • C. NE
    NE is the official two-letter United States Postal Service abbreviation used to designate the state of Nebraska.
  • D. NE
    NE is the common abbreviation for the New England Revolution, a professional Major League Soccer club based in the Greater Boston area.
  • E. E.I.
    "E.I." is a hit hip-hop single by American rapper Nelly from his debut album "Country Grammar."
  • F. None of above. chosen

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_69a493dada0481909c43649f9843ea91 completed March 1, 2026, 7:30 p.m.
NER Named-entity recognition batch_69a4b8da80dc8190b79beaf509910725 completed March 1, 2026, 10:08 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac3bd110ac8190b66163de42bd3034 completed March 7, 2026, 2:53 p.m.
NEDg Description generation batch_69ac3d4b32348190883244f2b8af32a0 completed March 7, 2026, 2:59 p.m.
NED2 Entity disambiguation (via description) batch_69ac3dbf5c70819084a942fc97a9b50f completed March 7, 2026, 3:01 p.m.
Created at: March 1, 2026, 7:42 p.m.