Triple

T9838809
Position Surface form Disambiguated ID Type / Status
Subject de Bruijn–Newman constant E239168 entity
Predicate knownLowerBoundProvedBy P90269 FINISHED
Object Brad Rodgers
Brad Rodgers is a mathematician known for his work in analytic number theory, including significant contributions to understanding the de Bruijn–Newman constant.
E824086 NE FINISHED

How this triple was built (5 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: Brad Rodgers | Statement: [de Bruijn–Newman constant, knownLowerBoundProvedBy, Brad Rodgers]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Brad Rodgers
Context triple: [de Bruijn–Newman constant, knownLowerBoundProvedBy, Brad Rodgers]
  • A. Luke Rodgers
    Luke Rodgers is the brother of NFL quarterback Aaron Rodgers and is known for his work in sports media and podcasting.
  • B. Brett Veach
    Brett Veach is an American football executive best known for building multiple Super Bowl–winning rosters as the general manager of the Kansas City Chiefs.
  • C. James Charles Rodgers
    James Charles Rodgers, better known as Jimmie Rodgers, was an influential early 20th-century American country singer and songwriter often hailed as "The Father of Country Music."
  • D. Brian Routh
    Brian Routh was a British performance artist and musician best known as one half of the avant-garde comedy and performance duo The Kipper Kids.
  • E. Gary Dornhoefer
    Gary Dornhoefer is a former Canadian right winger best known for his gritty play and clutch scoring with the Philadelphia Flyers during their "Broad Street Bullies" era in the 1970s.
  • 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: Brad Rodgers
Triple: [de Bruijn–Newman constant, knownLowerBoundProvedBy, Brad Rodgers]
Generated description
Brad Rodgers is a mathematician known for his work in analytic number theory, including significant contributions to understanding the de Bruijn–Newman constant.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Brad Rodgers
Target entity description: Brad Rodgers is a mathematician known for his work in analytic number theory, including significant contributions to understanding the de Bruijn–Newman constant.
  • A. Luke Rodgers
    Luke Rodgers is the brother of NFL quarterback Aaron Rodgers and is known for his work in sports media and podcasting.
  • B. Brett Veach
    Brett Veach is an American football executive best known for building multiple Super Bowl–winning rosters as the general manager of the Kansas City Chiefs.
  • C. James Charles Rodgers
    James Charles Rodgers, better known as Jimmie Rodgers, was an influential early 20th-century American country singer and songwriter often hailed as "The Father of Country Music."
  • D. Brian Routh
    Brian Routh was a British performance artist and musician best known as one half of the avant-garde comedy and performance duo The Kipper Kids.
  • E. Gary Dornhoefer
    Gary Dornhoefer is a former Canadian right winger best known for his gritty play and clutch scoring with the Philadelphia Flyers during their "Broad Street Bullies" era in the 1970s.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: knownLowerBoundProvedBy
Context triple: [de Bruijn–Newman constant, knownLowerBoundProvedBy, Brad Rodgers]
  • A. isBoundedBelow
    Indicates that every value in a set or function is greater than or equal to some fixed lower bound.
  • B. partiallyProvenFor
    Indicates that something has been shown to hold or be true for part of a domain or set of cases, but not yet for all cases.
  • C. hasLowerBoundaryDefinedBy
    Indicates that one entity’s lower limit, edge, or boundary is specified or determined by another entity.
  • D. boundedByApprox
    Indicates that one quantity is constrained by another within an approximate or tolerance-based bound, rather than an exact strict limit.
  • E. isUpperBoundFor
    Indicates that one value is greater than or equal to every element in a given set or collection, serving as an upper limit for them.
  • F. None of above. chosen

Provenance (7 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_69ca84e314108190978324a4bdb959f8 completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb34921b881909836ba0f5b42a27b completed April 2, 2026, 12:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1d5d145ac8190ad10a4328216ef54 completed April 5, 2026, 3:24 a.m.
NEDg Description generation batch_69d1d6bb23cc81909efbeccf147018e8 completed April 5, 2026, 3:27 a.m.
NED2 Entity disambiguation (via description) batch_69d1d726e58c819090135d1ff275d2d8 completed April 5, 2026, 3:29 a.m.
PD Predicate disambiguation batch_69cd03e30bc08190816c0a6d29c21b0f completed April 1, 2026, 11:39 a.m.
PDg Predicate description generation batch_69cd06abc9248190a506b64e9c516d03 completed April 1, 2026, 11:51 a.m.
Created at: March 30, 2026, 8:33 p.m.