Triple

T22423339
Position Surface form Disambiguated ID Type / Status
Subject Erdős discrepancy problem E554302 entity
Predicate publication P80 FINISHED
Object Terence Tao’s 2016 paper in Journal d’Analyse Mathématique
Terence Tao’s 2016 paper in the Journal d’Analyse Mathématique is the landmark work in which he resolved the long-standing Erdős discrepancy problem in combinatorial number theory.
E554302 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: Terence Tao’s 2016 paper in Journal d’Analyse Mathématique | Statement: [Erdős discrepancy problem, publication, Terence Tao’s 2016 paper in Journal d’Analyse Mathématique]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Terence Tao’s 2016 paper in Journal d’Analyse Mathématique
Context triple: [Erdős discrepancy problem, publication, Terence Tao’s 2016 paper in Journal d’Analyse Mathématique]
  • A. Gowers inverse theorem in additive combinatorics
    The Gowers inverse theorem in additive combinatorics is a fundamental result that characterizes functions with large Gowers uniformity norms by showing they must correlate with structured objects such as polynomial phase functions, underpinning much of modern higher-order Fourier analysis.
  • B. Erdős discrepancy problem
    The Erdős discrepancy problem is a famous question in combinatorial number theory that asks whether every infinite ±1 sequence has arbitrarily large discrepancy along some homogeneous arithmetic progression.
  • C. Gowers blog on mathematics
    Gowers blog on mathematics is a widely read online mathematics blog by Fields Medalist Timothy Gowers, featuring expository posts, research discussions, and commentary on mathematical practice and culture.
  • D. Bounded gaps between primes
    "Bounded gaps between primes" is a landmark 2013 result in analytic number theory proving that there exist infinitely many pairs of distinct prime numbers separated by a finite, fixed upper bound.
  • E. Gowers uniformity norms
    Gowers uniformity norms are a family of higher-order norms in additive combinatorics used to measure the uniformity of functions and sequences, playing a central role in results such as Szemerédi’s theorem on arithmetic progressions.
  • 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: Terence Tao’s 2016 paper in Journal d’Analyse Mathématique
Triple: [Erdős discrepancy problem, publication, Terence Tao’s 2016 paper in Journal d’Analyse Mathématique]
Generated description
Terence Tao’s 2016 paper in the Journal d’Analyse Mathématique is the landmark work in which he resolved the long-standing Erdős discrepancy problem in combinatorial number theory.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Terence Tao’s 2016 paper in Journal d’Analyse Mathématique
Target entity description: Terence Tao’s 2016 paper in the Journal d’Analyse Mathématique is the landmark work in which he resolved the long-standing Erdős discrepancy problem in combinatorial number theory.
  • A. Gowers inverse theorem in additive combinatorics
    The Gowers inverse theorem in additive combinatorics is a fundamental result that characterizes functions with large Gowers uniformity norms by showing they must correlate with structured objects such as polynomial phase functions, underpinning much of modern higher-order Fourier analysis.
  • B. Erdős discrepancy problem chosen
    The Erdős discrepancy problem is a famous question in combinatorial number theory that asks whether every infinite ±1 sequence has arbitrarily large discrepancy along some homogeneous arithmetic progression.
  • C. Gowers blog on mathematics
    Gowers blog on mathematics is a widely read online mathematics blog by Fields Medalist Timothy Gowers, featuring expository posts, research discussions, and commentary on mathematical practice and culture.
  • D. Bounded gaps between primes
    "Bounded gaps between primes" is a landmark 2013 result in analytic number theory proving that there exist infinitely many pairs of distinct prime numbers separated by a finite, fixed upper bound.
  • E. Gowers uniformity norms
    Gowers uniformity norms are a family of higher-order norms in additive combinatorics used to measure the uniformity of functions and sequences, playing a central role in results such as Szemerédi’s theorem on arithmetic progressions.
  • F. None of above.

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_69e11e4f2d0c819091aa3558ea2ee630 completed April 16, 2026, 5:37 p.m.
NER Named-entity recognition batch_69f15a2af620819083338127e78137dc completed April 29, 2026, 1:08 a.m.
NED1 Entity disambiguation (via context triple) batch_6a0af0f06cec8190a911ab9a867c0596 completed May 18, 2026, 10:58 a.m.
NEDg Description generation batch_6a0af2c6151881908f85a7c3c751cea9 completed May 18, 2026, 11:06 a.m.
NED2 Entity disambiguation (via description) batch_6a0b08e411048190a368214c57c35d5e completed May 18, 2026, 12:41 p.m.
Created at: April 16, 2026, 8:47 p.m.