Triple

T11205541
Position Surface form Disambiguated ID Type / Status
Subject Yang–Lee theory E265149 entity
Predicate relatedTo P37 FINISHED
Object Fisher zeros
Fisher zeros are the complex-temperature zeros of a statistical mechanical partition function that characterize phase transitions and critical behavior in finite systems.
E911213 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: Fisher zeros | Statement: [Yang–Lee theory, relatedTo, Fisher zeros]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Fisher zeros
Context triple: [Yang–Lee theory, relatedTo, Fisher zeros]
  • A. Hardy Z-function
    The Hardy Z-function is a real-valued function derived from the Riemann zeta function on the critical line, used extensively in the study of the distribution of its zeros and the Riemann Hypothesis.
  • B. Ginibre ensemble
    The Ginibre ensemble is a fundamental class of non-Hermitian random matrices with independently distributed complex (or real/quaternion) Gaussian entries, widely studied for its rich eigenvalue statistics in random matrix theory.
  • C. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • D. Hurwitz determinants
    Hurwitz determinants are specific determinants constructed from a polynomial’s coefficients that are used to test whether all roots of the polynomial lie in the left half of the complex plane, thereby assessing system stability.
  • E. Voronin universality theorem
    The Voronin universality theorem is a result in analytic number theory stating that, in a precise sense, the Riemann zeta function can approximate any non-vanishing analytic function arbitrarily well on certain regions of the complex plane.
  • 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: Fisher zeros
Triple: [Yang–Lee theory, relatedTo, Fisher zeros]
Generated description
Fisher zeros are the complex-temperature zeros of a statistical mechanical partition function that characterize phase transitions and critical behavior in finite systems.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Fisher zeros
Target entity description: Fisher zeros are the complex-temperature zeros of a statistical mechanical partition function that characterize phase transitions and critical behavior in finite systems.
  • A. Hardy Z-function
    The Hardy Z-function is a real-valued function derived from the Riemann zeta function on the critical line, used extensively in the study of the distribution of its zeros and the Riemann Hypothesis.
  • B. Ginibre ensemble
    The Ginibre ensemble is a fundamental class of non-Hermitian random matrices with independently distributed complex (or real/quaternion) Gaussian entries, widely studied for its rich eigenvalue statistics in random matrix theory.
  • C. Riemann zeta function
    The Riemann zeta function is a complex-valued function central to analytic number theory, whose properties—especially the distribution of its zeros—are deeply connected to the distribution of prime numbers.
  • D. Hurwitz determinants
    Hurwitz determinants are specific determinants constructed from a polynomial’s coefficients that are used to test whether all roots of the polynomial lie in the left half of the complex plane, thereby assessing system stability.
  • E. Voronin universality theorem
    The Voronin universality theorem is a result in analytic number theory stating that, in a precise sense, the Riemann zeta function can approximate any non-vanishing analytic function arbitrarily well on certain regions of the complex plane.
  • 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_69d6aa9eb9248190b20211772621b4bc completed April 8, 2026, 7:21 p.m.
NER Named-entity recognition batch_69d7e8d4eef88190a7f05bca82d919b9 completed April 9, 2026, 5:58 p.m.
NED1 Entity disambiguation (via context triple) batch_69e4972bfbd481908cd0da59389ae17c completed April 19, 2026, 8:49 a.m.
NEDg Description generation batch_69e49d37989881909c7e75ddfff06726 completed April 19, 2026, 9:15 a.m.
NED2 Entity disambiguation (via description) batch_69e49f41a1f8819087cc15527dc7ff63 completed April 19, 2026, 9:24 a.m.
Created at: April 8, 2026, 9:30 p.m.