Triple

T10991296
Position Surface form Disambiguated ID Type / Status
Subject Montgomery's pair correlation conjecture E259758 entity
Predicate conjectures P38260 FINISHED
Object that the pair correlation of high Riemann zeros matches that of eigenvalues of large random Hermitian matrices from the Gaussian unitary ensemble LITERAL FINISHED

How this triple was built (2 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: that the pair correlation of high Riemann zeros matches that of eigenvalues of large random Hermitian matrices from the Gaussian unitary ensemble | Statement: [Montgomery's pair correlation conjecture, conjectures, that the pair correlation of high Riemann zeros matches that of eigenvalues of large random Hermitian matrices from the Gaussian unitary ensemble]
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: conjectures
Context triple: [Montgomery's pair correlation conjecture, conjectures, that the pair correlation of high Riemann zeros matches that of eigenvalues of large random Hermitian matrices from the Gaussian unitary ensemble]
  • A. associatedConjecture chosen
    Indicates that one entity is linked or connected to a particular conjecture, typically as its subject, source, or relevant context.
  • B. relatedConjecture
    Indicates that one conjecture is connected or associated with another conjecture, such as by similarity, dependency, or thematic relation.
  • C. refinedConjecture
    Indicates that a previously stated conjecture has been modified or made more precise, resulting in a refined version of the original conjecture.
  • D. conjecturedSign
    Indicates that one entity is proposed or hypothesized to be the sign, symbol, or indicator of another entity, without confirmed certainty.
  • E. announcedMillenniumProblems
    Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
  • F. None of above.

Provenance (3 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.
PD Predicate disambiguation batch_69d72e93ac648190b46c5d12bf3eb1e9 completed April 9, 2026, 4:44 a.m.
Created at: April 8, 2026, 9:24 p.m.