Triple
T22328569
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fubini–Study form |
E551964
|
entity |
| Predicate | locallyExpressedInAffineChart |
P140827
|
FINISHED |
| Object | i∂∂̄ log(1+∑_{j=1}^n |w_j|^2) |
—
|
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: i∂∂̄ log(1+∑_{j=1}^n |w_j|^2) | Statement: [Fubini–Study form, locallyExpressedInAffineChart, i∂∂̄ log(1+∑_{j=1}^n |w_j|^2)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: locallyExpressedInAffineChart
Context triple: [Fubini–Study form, locallyExpressedInAffineChart, i∂∂̄ log(1+∑_{j=1}^n |w_j|^2)]
-
A.
onAffineSpace
Indicates that one geometric object or structure lies within or is defined over a specified affine space.
-
B.
symplecticFormLocalExpression
chosen
Indicates how a symplectic form is represented in local coordinates or a local chart on a symplectic manifold.
-
C.
closedSubsetsOfAffineSpace
Indicates that the related entities are subsets of an affine space that are closed in the corresponding topology.
-
D.
hasLocalExpression
Indicates that something has a specific form, representation, or manifestation that is valid or defined only within a particular local context or region.
-
E.
appliesToPolynomialsOf
Indicates that a rule, operation, or property is defined for and relevant to polynomials of a specified type or form.
- 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_69e11e482f788190b78d1588fc26d606 |
completed | April 16, 2026, 5:37 p.m. |
| NER | Named-entity recognition | batch_69f15769fdb48190b84e0c019ab63579 |
completed | April 29, 2026, 12:57 a.m. |
| PD | Predicate disambiguation | batch_69e73004d9e88190bb862319a5aea06b |
completed | April 21, 2026, 8:06 a.m. |
Created at: April 16, 2026, 8:43 p.m.