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 |
—
|
NE NERFINISHED |
How this triple was built (3 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.
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 (2 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. |
Created at: April 16, 2026, 8:47 p.m.