Triple

T19991958
Position Surface form Disambiguated ID Type / Status
Subject Gibbard–Satterthwaite theorem E494084 entity
Predicate relatesTo P37 FINISHED
Object Satterthwaite's theorem
Satterthwaite's theorem is a foundational result in social choice theory that characterizes the limitations of fair and non-manipulable voting systems, closely associated with the Gibbard–Satterthwaite theorem.
E1405259 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: Satterthwaite's theorem | Statement: [Gibbard–Satterthwaite theorem, relatesTo, Satterthwaite's theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Satterthwaite's theorem
Context triple: [Gibbard–Satterthwaite theorem, relatesTo, Satterthwaite's theorem]
  • A. Behrens–Fisher problem
    The Behrens–Fisher problem is a classic statistical inference problem concerning the comparison of means from two normal populations with unknown and unequal variances.
  • B. Scheffé's method
    Scheffé's method is a conservative multiple comparison procedure in analysis of variance that provides simultaneous confidence intervals for all possible contrasts among group means.
  • C. Hotelling’s T-squared distribution
    Hotelling’s T-squared distribution is a multivariate generalization of Student’s t-distribution used primarily for hypothesis testing and constructing confidence regions for mean vectors in multivariate statistics.
  • D. Dunnett's test
    Dunnett's test is a multiple comparison statistical procedure used to compare several treatment groups directly against a single control group while controlling the overall type I error rate.
  • E. 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.
  • 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: Satterthwaite's theorem
Triple: [Gibbard–Satterthwaite theorem, relatesTo, Satterthwaite's theorem]
Generated description
Satterthwaite's theorem is a foundational result in social choice theory that characterizes the limitations of fair and non-manipulable voting systems, closely associated with the Gibbard–Satterthwaite theorem.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Satterthwaite's theorem
Target entity description: Satterthwaite's theorem is a foundational result in social choice theory that characterizes the limitations of fair and non-manipulable voting systems, closely associated with the Gibbard–Satterthwaite theorem.
  • A. Behrens–Fisher problem
    The Behrens–Fisher problem is a classic statistical inference problem concerning the comparison of means from two normal populations with unknown and unequal variances.
  • B. Scheffé's method
    Scheffé's method is a conservative multiple comparison procedure in analysis of variance that provides simultaneous confidence intervals for all possible contrasts among group means.
  • C. Hotelling’s T-squared distribution
    Hotelling’s T-squared distribution is a multivariate generalization of Student’s t-distribution used primarily for hypothesis testing and constructing confidence regions for mean vectors in multivariate statistics.
  • D. Dunnett's test
    Dunnett's test is a multiple comparison statistical procedure used to compare several treatment groups directly against a single control group while controlling the overall type I error rate.
  • E. 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.
  • 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_69da626a67648190af9653832a3aeced completed April 11, 2026, 3:02 p.m.
NER Named-entity recognition batch_69e65fe10ffc81908c94168b0a8ea9c9 completed April 20, 2026, 5:18 p.m.
NED1 Entity disambiguation (via context triple) batch_6a080503f1bc8190b71f6d7043ac6593 completed May 16, 2026, 5:47 a.m.
NEDg Description generation batch_6a0806563e1c8190b702fcfc009c84d5 completed May 16, 2026, 5:53 a.m.
NED2 Entity disambiguation (via description) batch_6a0806e876c881909f0c30e5dd16ce20 completed May 16, 2026, 5:55 a.m.
Created at: April 11, 2026, 3:31 p.m.