Triple
T10992024
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brill–Noether theory |
E259773
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Riemann surface theory |
E47348
|
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: Riemann surface theory | Statement: [Brill–Noether theory, relatedTo, Riemann surface theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Riemann surface theory Context triple: [Brill–Noether theory, relatedTo, Riemann surface theory]
-
A.
Riemann surfaces
chosen
Riemann surfaces are one-dimensional complex manifolds that provide the natural geometric setting for studying complex analytic functions and their multi-valued behavior.
-
B.
Teichmüller theory
Teichmüller theory is a branch of complex analysis and geometry that studies the deformation spaces of Riemann surfaces and their moduli, often via quasiconformal mappings.
-
C.
Complex Analysis
Complex Analysis is a classic, widely used textbook that provides a rigorous introduction to the theory of functions of a complex variable.
-
D.
Several Complex Variables
"Several Complex Variables" is a foundational mathematical text that systematically develops the theory of functions of several complex variables and has significantly influenced modern complex analysis.
-
E.
Riemann–Roch theorem
The Riemann–Roch theorem is a fundamental result in algebraic geometry and complex analysis that relates the dimension of spaces of meromorphic sections of a line bundle on a curve to topological data such as genus and degree.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d6aa8a6a548190a750f944ccdc8064 |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d795d1e918819090c71f5a077fa15a |
completed | April 9, 2026, 12:04 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e3c8190c888190ba8d6fb2f4f3eb05 |
completed | April 18, 2026, 6:06 p.m. |
Created at: April 8, 2026, 9:24 p.m.