Triple

T7150219
Position Surface form Disambiguated ID Type / Status
Subject Galilean group E166672 entity
Predicate hasCentralExtension P75140 FINISHED
Object Bargmann group
The Bargmann group is the centrally extended version of the Galilean symmetry group that underlies nonrelativistic quantum mechanics, incorporating mass as a central charge.
E166672 NE FINISHED

How this triple was built (5 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: Bargmann group | Statement: [Galilean group, hasCentralExtension, Bargmann group]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Bargmann group
Context triple: [Galilean group, hasCentralExtension, Bargmann group]
  • A. Poincaré group
    The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
  • B. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • C. Galilean group
    The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
  • D. Lie group
    A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
  • E. Weyl
    Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
  • 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: Bargmann group
Triple: [Galilean group, hasCentralExtension, Bargmann group]
Generated description
The Bargmann group is the centrally extended version of the Galilean symmetry group that underlies nonrelativistic quantum mechanics, incorporating mass as a central charge.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Bargmann group
Target entity description: The Bargmann group is the centrally extended version of the Galilean symmetry group that underlies nonrelativistic quantum mechanics, incorporating mass as a central charge.
  • A. Poincaré group
    The Poincaré group is the fundamental symmetry group of special relativity, combining spacetime translations with Lorentz transformations in four-dimensional Minkowski space.
  • B. Lorentz group
    The Lorentz group is the mathematical group of spacetime symmetries in special relativity, consisting of all rotations and boosts that preserve the Minkowski spacetime interval.
  • C. Galilean group chosen
    The Galilean group is the mathematical group of spacetime transformations—comprising translations, rotations, and Galilean boosts—that characterize the symmetries of classical Newtonian mechanics.
  • D. Lie group
    A Lie group is a mathematical structure that is both a smooth manifold and a group, where the group operations are differentiable and used to study continuous symmetries.
  • E. Weyl
    Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
  • F. None of above.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasCentralExtension
Context triple: [Galilean group, hasCentralExtension, Bargmann group]
  • A. hasCentralGroup
    Indicates that an entity possesses or is associated with a primary or central group within its structure or organization.
  • B. hasCentralAdministrationIn
    Indicates that an organization or entity maintains its primary central administrative authority or headquarters in a specified location.
  • C. hasCentralSpace
    Indicates that an entity includes or is characterized by a primary, central area or space within its overall structure.
  • D. hasCentralClaim
    Indicates that one entity presents or embodies the main assertion, thesis, or primary point made by another entity.
  • E. hasCentralAct
    Indicates that an entity includes or is characterized by a primary or most important action, event, or operation at its core.
  • F. None of above. chosen

Provenance (7 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_69c68886779c8190a8e3fbabffe68253 completed March 27, 2026, 1:39 p.m.
NER Named-entity recognition batch_69c6e7f28b188190b1732ca711666531 completed March 27, 2026, 8:26 p.m.
NED1 Entity disambiguation (via context triple) batch_69c7ada940e08190b16e97e363801e75 completed March 28, 2026, 10:30 a.m.
NEDg Description generation batch_69c7ae5767408190860c1c7bc3a769fa completed March 28, 2026, 10:32 a.m.
NED2 Entity disambiguation (via description) batch_69c7aeb68c3481909c6dff8ee51349ab completed March 28, 2026, 10:34 a.m.
PD Predicate disambiguation batch_69c6e1caf4e48190b47bb398a3c1554d completed March 27, 2026, 8 p.m.
PDg Predicate description generation batch_69c6e4a213508190a40aca39f9eee7d5 completed March 27, 2026, 8:12 p.m.
Created at: March 27, 2026, 2:46 p.m.