Triple

T9838830
Position Surface form Disambiguated ID Type / Status
Subject de Bruijn–Newman constant E239168 entity
Predicate connectedTo P37 FINISHED
Object Riemann xi function
The Riemann xi function is an entire, symmetrized version of the Riemann zeta function that encodes its nontrivial zeros and plays a central role in the study of the Riemann Hypothesis and related analytic number theory.
 E824087 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: Riemann xi function | Statement: [de Bruijn–Newman constant, connectedTo, Riemann xi function]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Riemann xi function
Context triple: [de Bruijn–Newman constant, connectedTo, Riemann xi function]
  • A. Zixian
    Zixian is the courtesy name of Xu Guangqi, a prominent late Ming dynasty Chinese scholar-official, scientist, and collaborator with Jesuit missionaries such as Matteo Ricci.
  • B. Xi
    Xi is a common Chinese surname most prominently associated today with Chinese leader Xi Jinping and his political family.
  • C. Xiluoyuan
    Xiluoyuan is a residential neighborhood and subdistrict located in Beijing’s Fengtai District.
  • D. Yixian
    Yixian is a historic county-level city in China’s Anhui province, noted for its well-preserved ancient villages and traditional Huizhou architecture.
  • E. XiRonga
    XiRonga is a Bantu language spoken primarily by the Ronga people in southern Mozambique and surrounding regions.
  • 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: Riemann xi function
Triple: [de Bruijn–Newman constant, connectedTo, Riemann xi function]
Generated description
The Riemann xi function is an entire, symmetrized version of the Riemann zeta function that encodes its nontrivial zeros and plays a central role in the study of the Riemann Hypothesis and related analytic number theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Riemann xi function
Target entity description: The Riemann xi function is an entire, symmetrized version of the Riemann zeta function that encodes its nontrivial zeros and plays a central role in the study of the Riemann Hypothesis and related analytic number theory.
  • A. Zixian
    Zixian is the courtesy name of Xu Guangqi, a prominent late Ming dynasty Chinese scholar-official, scientist, and collaborator with Jesuit missionaries such as Matteo Ricci.
  • B. Xi
    Xi is a common Chinese surname most prominently associated today with Chinese leader Xi Jinping and his political family.
  • C. Xiluoyuan
    Xiluoyuan is a residential neighborhood and subdistrict located in Beijing’s Fengtai District.
  • D. Yixian
    Yixian is a historic county-level city in China’s Anhui province, noted for its well-preserved ancient villages and traditional Huizhou architecture.
  • E. XiRonga
    XiRonga is a Bantu language spoken primarily by the Ronga people in southern Mozambique and surrounding regions.
  • 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_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.
Created at: March 30, 2026, 8:33 p.m.