Triple
T11098761
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Teichmüller curve |
E262445
|
entity |
| Predicate | studiedBy |
P1945
|
FINISHED |
| Object | Curtis McMullen |
E403182
|
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: Curtis McMullen | Statement: [Teichmüller curve, studiedBy, Curtis McMullen]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Curtis McMullen Context triple: [Teichmüller curve, studiedBy, Curtis McMullen]
-
A.
Curtis T. McMullen
chosen
Curtis T. McMullen is an American mathematician renowned for his work in complex dynamics, hyperbolic geometry, and Teichmüller theory, and a recipient of the Fields Medal.
-
B.
Dennis Sullivan
Dennis Sullivan is an influential American mathematician renowned for his groundbreaking work in topology, dynamical systems, and geometry.
-
C.
William Thurston
William Thurston was a pioneering American mathematician renowned for his revolutionary contributions to low-dimensional topology and geometry, including the geometrization conjecture for 3-manifolds.
-
D.
Michael Shub
Michael Shub is an American mathematician and computer scientist known for his influential work in dynamical systems, complexity theory, and cryptography, including co-developing the Blum–Blum–Shub pseudorandom number generator.
-
E.
Marc Culler
Marc Culler is an American mathematician known for his contributions to geometric group theory and low-dimensional topology.
- 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_69d6aa9a40d88190a373e2c7e48285db |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d79a0c46308190889b94c23ebaca62 |
completed | April 9, 2026, 12:22 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e3e7eca9bc8190b43bae081d97d804 |
completed | April 18, 2026, 8:22 p.m. |
Created at: April 8, 2026, 9:27 p.m.