Triple
T11219324
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Milnor number |
E265517
|
entity |
| Predicate | forPlaneCurveSingularities |
P97904
|
FINISHED |
| Object | μ = 2δ − r + 1 where δ is delta invariant and r is number of branches |
—
|
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: μ = 2δ − r + 1 where δ is delta invariant and r is number of branches | Statement: [Milnor number, forPlaneCurveSingularities, μ = 2δ − r + 1 where δ is delta invariant and r is number of branches]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: forPlaneCurveSingularities Context triple: [Milnor number, forPlaneCurveSingularities, μ = 2δ − r + 1 where δ is delta invariant and r is number of branches]
-
A.
curveEquation
Indicates that one entity is the mathematical equation that defines or represents the curve described by the other entity.
-
B.
trivialRationalPoints
Indicates that the only rational points satisfying the given condition or lying on the given object are the trivial or obvious ones (typically those forced by the structure, such as points at infinity or simple coordinate values).
-
C.
appliesToPolynomialsOf
Indicates that a rule, operation, or property is defined for and relevant to polynomials of a specified type or form.
-
D.
rationalPointsProperty
Indicates that a mathematical object (typically a variety or curve) has a specified property concerning its rational points, such as their existence, distribution, or structure over a given field.
-
E.
canonicalVarieties
Indicates that one entity is a canonical or standard variety/form of another entity within a given classification or system.
- F. None of above. chosen
Provenance (4 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_69d6aac59460819089b9848b27f57848 |
completed | April 8, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69d7e8eb84c48190b4f3bede254afde2 |
completed | April 9, 2026, 5:59 p.m. |
| PD | Predicate disambiguation | batch_69d75cfbbb188190861efd5d94fe27da |
completed | April 9, 2026, 8:02 a.m. |
| PDg | Predicate description generation | batch_69d77062271c8190b63da714ab5beff9 |
completed | April 9, 2026, 9:24 a.m. |
Created at: April 8, 2026, 9:30 p.m.