Triple

T10991230
Position Surface form Disambiguated ID Type / Status
Subject random matrix theory E259756 entity
Predicate developedBy P73 FINISHED
Object Madame Tracy and Widom (Craig Tracy and Harold Widom)
Craig Tracy and Harold Widom are mathematical physicists best known for their foundational work on random matrix theory, including the Tracy–Widom distribution that describes the statistics of extreme eigenvalues.
 E898470 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: Madame Tracy and Widom (Craig Tracy and Harold Widom) | Statement: [random matrix theory, developedBy, Madame Tracy and Widom (Craig Tracy and Harold Widom)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Madame Tracy and Widom (Craig Tracy and Harold Widom)
Context triple: [random matrix theory, developedBy, Madame Tracy and Widom (Craig Tracy and Harold Widom)]
  • A. Erdman Penner
    Erdman Penner was a Canadian-born screenwriter and story artist best known for his work on classic Walt Disney animated films in the mid-20th century.
  • B. C. R. Hagen
    C. R. Hagen is a theoretical physicist known for his contributions to particle physics and gauge theories, including work related to the Higgs mechanism.
  • C. Nigel Goldenfeld
    Nigel Goldenfeld is a theoretical physicist known for his influential work in statistical physics, complex systems, and fluid dynamics.
  • D. David P. Landau
    David P. Landau is a physicist renowned for his pioneering work in computational statistical physics and Monte Carlo simulations of phase transitions and critical phenomena.
  • E. Sidney I. Resnick
    Sidney I. Resnick is an American mathematician and probability theorist known for his work on extreme value theory, heavy-tailed distributions, and stochastic processes.
  • 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: Madame Tracy and Widom (Craig Tracy and Harold Widom)
Triple: [random matrix theory, developedBy, Madame Tracy and Widom (Craig Tracy and Harold Widom)]
Generated description
Craig Tracy and Harold Widom are mathematical physicists best known for their foundational work on random matrix theory, including the Tracy–Widom distribution that describes the statistics of extreme eigenvalues.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Madame Tracy and Widom (Craig Tracy and Harold Widom)
Target entity description: Craig Tracy and Harold Widom are mathematical physicists best known for their foundational work on random matrix theory, including the Tracy–Widom distribution that describes the statistics of extreme eigenvalues.
  • A. Erdman Penner
    Erdman Penner was a Canadian-born screenwriter and story artist best known for his work on classic Walt Disney animated films in the mid-20th century.
  • B. C. R. Hagen
    C. R. Hagen is a theoretical physicist known for his contributions to particle physics and gauge theories, including work related to the Higgs mechanism.
  • C. Nigel Goldenfeld
    Nigel Goldenfeld is a theoretical physicist known for his influential work in statistical physics, complex systems, and fluid dynamics.
  • D. David P. Landau
    David P. Landau is a physicist renowned for his pioneering work in computational statistical physics and Monte Carlo simulations of phase transitions and critical phenomena.
  • E. Sidney I. Resnick
    Sidney I. Resnick is an American mathematician and probability theorist known for his work on extreme value theory, heavy-tailed distributions, and stochastic processes.
  • 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_69d6aa8a6a548190a750f944ccdc8064 completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d795d1e918819090c71f5a077fa15a completed April 9, 2026, 12:04 p.m.
NED1 Entity disambiguation (via context triple) batch_69e34504ebec8190a78e4795765b0c24 completed April 18, 2026, 8:47 a.m.
NEDg Description generation batch_69e3556fd3548190a33f04604be947cf completed April 18, 2026, 9:57 a.m.
NED2 Entity disambiguation (via description) batch_69e3593b0f8481909ed7a90f8bb9839d completed April 18, 2026, 10:13 a.m.
Created at: April 8, 2026, 9:24 p.m.