Triple
T5837299
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Calabi–Yau manifold |
E129502
|
entity |
| Predicate | YauTheorem |
P38252
|
FINISHED |
| Object | existence of Ricci-flat Kähler metric given c1=0 |
—
|
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: existence of Ricci-flat Kähler metric given c1=0 | Statement: [Calabi–Yau manifold, YauTheorem, existence of Ricci-flat Kähler metric given c1=0]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: YauTheorem Context triple: [Calabi–Yau manifold, YauTheorem, existence of Ricci-flat Kähler metric given c1=0]
-
A.
announcedMillenniumProblems
Indicates that an entity formally proclaimed or made public the set of Millennium Problems.
-
B.
hasTheorem
chosen
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
C.
relatedTheorem
Indicates that one theorem is connected to another through a logical, thematic, or derivational relationship.
-
D.
isHolomorphicallyContractible
Indicates that a space can be continuously shrunk to a point through holomorphic maps, preserving complex-analytic structure throughout the contraction.
-
E.
numberOfMillenniumProblems
Indicates the total count of Millennium Problems associated with a given subject or context.
- 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_69c0084af79c81908af128ccc29983d0 |
completed | March 22, 2026, 3:18 p.m. |
| NER | Named-entity recognition | batch_69c044ab0a048190b84be40fb13c0f50 |
completed | March 22, 2026, 7:36 p.m. |
| PD | Predicate disambiguation | batch_69c03341e5888190a5f219b6f92cb161 |
completed | March 22, 2026, 6:21 p.m. |
Created at: March 22, 2026, 3:54 p.m.