Triple
T23745107
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hirzebruch surfaces |
E586791
|
entity |
| Predicate | canonicalDivisor |
P153539
|
FINISHED |
| Object | K = −2C_0 − (n+2)f (up to linear equivalence) |
—
|
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: K = −2C_0 − (n+2)f (up to linear equivalence) | Statement: [Hirzebruch surfaces, canonicalDivisor, K = −2C_0 − (n+2)f (up to linear equivalence)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: canonicalDivisor Context triple: [Hirzebruch surfaces, canonicalDivisor, K = −2C_0 − (n+2)f (up to linear equivalence)]
-
A.
canonicalVarieties
Indicates that one entity is a canonical or standard variety/form of another entity within a given classification or system.
-
B.
hasKodairaDimension
Indicates that a mathematical object (typically a complex variety or manifold) is associated with a specific Kodaira dimension, characterizing the growth rate of sections of its canonical bundle and thus its birational classification.
-
C.
differsFromCartierDivisorOn
Indicates that one divisor or line bundle is not the same as, or does not coincide with, a given Cartier divisor on a specified scheme or variety.
-
D.
quotientByLinearEquivalenceGives
Indicates that forming a quotient under a specified linear equivalence relation produces or yields a particular resulting object or structure.
-
E.
canonicalDivision
Indicates that one entity is the standard or officially recognized subdivision or partition of another entity.
- 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_69e24908efb08190bf755c3a9b91f222 |
completed | April 17, 2026, 2:51 p.m. |
| NER | Named-entity recognition | batch_69f1bcbcc4f88190a00fceeafbfb5cfd |
completed | April 29, 2026, 8:09 a.m. |
| PD | Predicate disambiguation | batch_69f155f012808190a4b1cbc155558ade |
completed | April 29, 2026, 12:50 a.m. |
| PDg | Predicate description generation | batch_69f15adb23d88190ac2632299c26a9b3 |
completed | April 29, 2026, 1:11 a.m. |
Created at: April 17, 2026, 7:12 p.m.