Triple

T2636371
Position Surface form Disambiguated ID Type / Status
Subject Hans Fitting E59755 entity
Predicate notableConcept P201 FINISHED
Object Fitting decomposition
Fitting decomposition is a fundamental theorem in group theory that expresses a finite group as a product of its largest nilpotent normal subgroup and a complementary subgroup, playing a key role in the structural analysis of groups.
E283605 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: Fitting decomposition | Statement: [Hans Fitting, notableConcept, Fitting decomposition]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fitting decomposition
Context triple: [Hans Fitting, notableConcept, Fitting decomposition]
  • A. near-decomposability
    Near-decomposability is a systems theory concept describing complex systems that can be understood as loosely coupled subsystems whose internal interactions are much stronger than their interactions with other subsystems.
  • B. Procrustes
    Procrustes is a figure from Greek mythology known as a cruel bandit who mutilated travelers to force them to fit his iron bed, until he was slain by the hero Theseus.
  • C. SVD
    SVD is the abbreviation for the Special Victims Division, a specialized police unit that investigates sensitive crimes such as sexual offenses and crimes against vulnerable victims.
  • D. Frisch–Waugh–Lovell theorem
    The Frisch–Waugh–Lovell theorem is a fundamental result in econometrics that shows how the coefficients of a multiple linear regression can be obtained by first partialling out (regressing out) other explanatory variables.
  • E. method of least squares
    The method of least squares is a fundamental mathematical technique for estimating unknown parameters by minimizing the sum of squared differences between observed and predicted values, widely used in statistics, data fitting, and regression analysis.
  • 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: Fitting decomposition
Triple: [Hans Fitting, notableConcept, Fitting decomposition]
Generated description
Fitting decomposition is a fundamental theorem in group theory that expresses a finite group as a product of its largest nilpotent normal subgroup and a complementary subgroup, playing a key role in the structural analysis of groups.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Fitting decomposition
Target entity description: Fitting decomposition is a fundamental theorem in group theory that expresses a finite group as a product of its largest nilpotent normal subgroup and a complementary subgroup, playing a key role in the structural analysis of groups.
  • A. near-decomposability
    Near-decomposability is a systems theory concept describing complex systems that can be understood as loosely coupled subsystems whose internal interactions are much stronger than their interactions with other subsystems.
  • B. Procrustes
    Procrustes is a figure from Greek mythology known as a cruel bandit who mutilated travelers to force them to fit his iron bed, until he was slain by the hero Theseus.
  • C. SVD
    SVD is the abbreviation for the Special Victims Division, a specialized police unit that investigates sensitive crimes such as sexual offenses and crimes against vulnerable victims.
  • D. Frisch–Waugh–Lovell theorem
    The Frisch–Waugh–Lovell theorem is a fundamental result in econometrics that shows how the coefficients of a multiple linear regression can be obtained by first partialling out (regressing out) other explanatory variables.
  • E. method of least squares
    The method of least squares is a fundamental mathematical technique for estimating unknown parameters by minimizing the sum of squared differences between observed and predicted values, widely used in statistics, data fitting, and regression analysis.
  • 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_69ab4ac8596c8190b34997e73d9e991c completed March 6, 2026, 9:44 p.m.
NER Named-entity recognition batch_69abd8e1fffc81908e4921690098c8db completed March 7, 2026, 7:50 a.m.
NED1 Entity disambiguation (via context triple) batch_69af90b3e9b48190857ae21022a4fb15 completed March 10, 2026, 3:32 a.m.
NEDg Description generation batch_69af922043508190a9a9ceced2425109 completed March 10, 2026, 3:38 a.m.
NED2 Entity disambiguation (via description) batch_69af927bb1d0819081ab11eb4470e28d completed March 10, 2026, 3:39 a.m.
Created at: March 6, 2026, 9:50 p.m.