Triple

T23464325
Position Surface form Disambiguated ID Type / Status
Subject Parisi solution of spin glasses E569063 entity
Predicate relatedTo P37 FINISHED
Object Guerra interpolation method
The Guerra interpolation method is a mathematical technique in spin glass theory that rigorously establishes the validity of the Parisi solution by providing bounds on the free energy of mean-field spin glass models.
E1589825 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: Guerra interpolation method | Statement: [Parisi solution of spin glasses, relatedTo, Guerra interpolation method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Guerra interpolation method
Context triple: [Parisi solution of spin glasses, relatedTo, Guerra interpolation method]
  • A. Birkhoff interpolation
    Birkhoff interpolation is a generalized form of polynomial interpolation that allows prescribing function and derivative values at selected points, not necessarily in a consecutive or complete pattern.
  • B. Hermite interpolation
    Hermite interpolation is a numerical analysis method for constructing a polynomial that matches both function values and specified derivatives at given data points.
  • C. Newton interpolation polynomial
    The Newton interpolation polynomial is a form of the interpolating polynomial that uses divided differences and a nested (incremental) structure, making it efficient to update when new data points are added.
  • D. Lagrange interpolation polynomial
    The Lagrange interpolation polynomial is a classical formula in numerical analysis that constructs a unique polynomial passing through a given set of data points, widely used for interpolation and approximation.
  • E. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • 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: Guerra interpolation method
Triple: [Parisi solution of spin glasses, relatedTo, Guerra interpolation method]
Generated description
The Guerra interpolation method is a mathematical technique in spin glass theory that rigorously establishes the validity of the Parisi solution by providing bounds on the free energy of mean-field spin glass models.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Guerra interpolation method
Target entity description: The Guerra interpolation method is a mathematical technique in spin glass theory that rigorously establishes the validity of the Parisi solution by providing bounds on the free energy of mean-field spin glass models.
  • A. Birkhoff interpolation
    Birkhoff interpolation is a generalized form of polynomial interpolation that allows prescribing function and derivative values at selected points, not necessarily in a consecutive or complete pattern.
  • B. Hermite interpolation
    Hermite interpolation is a numerical analysis method for constructing a polynomial that matches both function values and specified derivatives at given data points.
  • C. Newton interpolation polynomial
    The Newton interpolation polynomial is a form of the interpolating polynomial that uses divided differences and a nested (incremental) structure, making it efficient to update when new data points are added.
  • D. Lagrange interpolation polynomial
    The Lagrange interpolation polynomial is a classical formula in numerical analysis that constructs a unique polynomial passing through a given set of data points, widely used for interpolation and approximation.
  • E. Carathéodory–Fejér interpolation
    Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
  • 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_69e2458ebd808190b3298163132cfb0b completed April 17, 2026, 2:37 p.m.
NER Named-entity recognition batch_69f1a6f9e59081909e8cf224ee46109c completed April 29, 2026, 6:36 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0c82530b8081908e04e647180d8195 completed May 19, 2026, 3:31 p.m.
NEDg Description generation batch_6a0ca6efb0d88190bf15b18cc3f12482 completed May 19, 2026, 6:07 p.m.
NED2 Entity disambiguation (via description) batch_6a0ca819f6dc8190852bb3c06768ac5a completed May 19, 2026, 6:12 p.m.
Created at: April 17, 2026, 5:54 p.m.