Triple

T38609503
Position Surface form Disambiguated ID Type / Status
Subject Bernstein–Sato polynomial E934438 entity
Predicate relatedTo P37 FINISHED
Object Igusa zeta function
The Igusa zeta function is a p-adic analytic function associated with counting solutions to polynomial congruences modulo powers of a prime, playing a key role in number theory and singularity theory.
 E2278311 NE 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: Igusa zeta function | Statement: [Bernstein–Sato polynomial, relatedTo, Igusa zeta function]
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: Igusa zeta function
Triple: [Bernstein–Sato polynomial, relatedTo, Igusa zeta function]
Generated description
The Igusa zeta function is a p-adic analytic function associated with counting solutions to polynomial congruences modulo powers of a prime, playing a key role in number theory and singularity theory.

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_69f76eccd6d081909ccce171011739a1 completed May 3, 2026, 3:50 p.m.
NER Named-entity recognition batch_69fcd96ebe0081909d436ba359061945 completed May 7, 2026, 6:26 p.m.
NED1 Entity disambiguation (via context triple) batch_6a41f4417d2c8190bf1ebb27596b1ba0 completed June 29, 2026, 4:27 a.m.
NEDg Description generation batch_6a41f5347d7081908a885190363cb347 completed June 29, 2026, 4:31 a.m.
NED2 Entity disambiguation (via description) batch_6a41f6229fb8819099ba86f2db3ae6d1 completed June 29, 2026, 4:35 a.m.
Created at: May 3, 2026, 4:32 p.m.