Triple
T37197180
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | modularity conjecture |
E921625
|
entity |
| Predicate | equivalentFormulationInvolves |
P90301
|
FINISHED |
| Object | equality of L-functions of elliptic curves and modular forms |
—
|
LITERAL 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: equality of L-functions of elliptic curves and modular forms | Statement: [modularity conjecture, equivalentFormulationInvolves, equality of L-functions of elliptic curves and modular forms]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: equivalentFormulationInvolves Context triple: [modularity conjecture, equivalentFormulationInvolves, equality of L-functions of elliptic curves and modular forms]
-
A.
hasEquivalentFormulation
chosen
Indicates that two representations, statements, or formulations express the same underlying meaning, condition, or effect, even if they differ in form.
-
B.
formulaInvolves
Indicates that a given formula includes, references, or depends on a specified element or component.
-
C.
hasWeakerFormulation
Indicates that one formulation of a statement, rule, or condition is logically or practically less strict, less powerful, or less demanding than another related formulation.
-
D.
mathematicallyFormulatedIn
Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
-
E.
hasFormulation
Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
- F. None of above.
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_69f76ea313a08190a54404cd1e47da90 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69fb55de3b9c8190a7656aeab3c3ffbc |
completed | May 6, 2026, 2:53 p.m. |
| PD | Predicate disambiguation | batch_69fb35bc92e08190bff447624e2df791 |
completed | May 6, 2026, 12:36 p.m. |
Created at: May 3, 2026, 4:15 p.m.