Triple

T9843409
Position Surface form Disambiguated ID Type / Status
Subject Hardy Z-function E239280 entity
Predicate relatedTo P37 FINISHED
Object Gram points
Gram points are specific real values of the argument on the critical line of the Riemann zeta function where the Hardy Z-function takes real values with alternating sign, playing a key role in studying the distribution of its zeros.
 E825421 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: Gram points | Statement: [Hardy Z-function, relatedTo, Gram points]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Gram points
Context triple: [Hardy Z-function, relatedTo, Gram points]
  • A. Points
    Points is a French publishing imprint of Éditions du Seuil known for its affordable paperback editions across a wide range of literary and scholarly works.
  • B. Keeping Score
    Keeping Score is an educational multimedia project by the San Francisco Symphony that explores classical music and composers through documentaries, concerts, and online resources.
  • C. Pi (score)
    Pi (score) is the minimalist, electronic-infused orchestral soundtrack composed by Clint Mansell for Darren Aronofsky’s 1998 psychological thriller film "Pi."
  • D. Gram
    Gram is a legendary sword from Norse mythology, famously wielded by the hero Sigurd to slay the dragon Fafnir.
  • E. Gram
    Gram is a surname of Scandinavian origin borne by various notable individuals, including Norwegian politician Bjørn Arild Gram.
  • 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: Gram points
Triple: [Hardy Z-function, relatedTo, Gram points]
Generated description
Gram points are specific real values of the argument on the critical line of the Riemann zeta function where the Hardy Z-function takes real values with alternating sign, playing a key role in studying the distribution of its zeros.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Gram points
Target entity description: Gram points are specific real values of the argument on the critical line of the Riemann zeta function where the Hardy Z-function takes real values with alternating sign, playing a key role in studying the distribution of its zeros.
  • A. Points
    Points is a French publishing imprint of Éditions du Seuil known for its affordable paperback editions across a wide range of literary and scholarly works.
  • B. Keeping Score
    Keeping Score is an educational multimedia project by the San Francisco Symphony that explores classical music and composers through documentaries, concerts, and online resources.
  • C. Pi (score)
    Pi (score) is the minimalist, electronic-infused orchestral soundtrack composed by Clint Mansell for Darren Aronofsky’s 1998 psychological thriller film "Pi."
  • D. Gram
    Gram is a legendary sword from Norse mythology, famously wielded by the hero Sigurd to slay the dragon Fafnir.
  • E. Gram
    Gram is a surname of Scandinavian origin borne by various notable individuals, including Norwegian politician Bjørn Arild Gram.
  • 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_69ca84e3f0c48190ada72a65ebd50efd completed March 30, 2026, 2:12 p.m.
NER Named-entity recognition batch_69cdb35c8e348190aa090c71bf6f30eb completed April 2, 2026, 12:07 a.m.
NED1 Entity disambiguation (via context triple) batch_69d1d5dda4b0819092703270e87bee5a completed April 5, 2026, 3:24 a.m.
NEDg Description generation batch_69d1d6815e28819081788393cda63bc0 completed April 5, 2026, 3:26 a.m.
NED2 Entity disambiguation (via description) batch_69d1d74e7a148190a9470745bfd7ad42 completed April 5, 2026, 3:30 a.m.
Created at: March 30, 2026, 8:33 p.m.