Triple
T11098900
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Clebsch diagonal surface |
E262450
|
entity |
| Predicate | isBirationalTo |
P97268
|
FINISHED |
| Object | blow-up of P^2 in six points |
—
|
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: blow-up of P^2 in six points | Statement: [Clebsch diagonal surface, isBirationalTo, blow-up of P^2 in six points]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: isBirationalTo Context triple: [Clebsch diagonal surface, isBirationalTo, blow-up of P^2 in six points]
-
A.
isBelyiCurve
Indicates that a given algebraic curve is a Belyi curve, i.e., it admits a holomorphic map to the projective line branched over at most three points.
-
B.
quotientByLinearEquivalenceGives
Indicates that forming a quotient under a specified linear equivalence relation produces or yields a particular resulting object or structure.
-
C.
isIsomorphicTo
Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
-
D.
isProjectiveRepresentationOf
Indicates that one mathematical object represents another up to multiplication by scalar factors, preserving structure only up to a projective (rather than strictly linear) equivalence.
-
E.
isQuotientOf
Indicates that one quantity is the result of dividing another quantity by a specified divisor.
- 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_69d6aa9a40d88190a373e2c7e48285db |
completed | April 8, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69d79a0c46308190889b94c23ebaca62 |
completed | April 9, 2026, 12:22 p.m. |
| PD | Predicate disambiguation | batch_69d7441aa3548190b92dbde57841c135 |
completed | April 9, 2026, 6:15 a.m. |
| PDg | Predicate description generation | batch_69d750ca52ec8190a559432a5de106fd |
completed | April 9, 2026, 7:10 a.m. |
Created at: April 8, 2026, 9:27 p.m.