Triple
T20471049
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hermitian form |
E502192
|
entity |
| Predicate | associatedQuadraticForm |
P140208
|
FINISHED |
| Object | q(x) = h(x,x) |
—
|
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: q(x) = h(x,x) | Statement: [Hermitian form, associatedQuadraticForm, q(x) = h(x,x)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: associatedQuadraticForm Context triple: [Hermitian form, associatedQuadraticForm, q(x) = h(x,x)]
-
A.
quadraticReciprocity
Indicates that a specified relationship between two integers reflects the law of quadratic reciprocity, describing how the solvability of one integer as a quadratic residue modulo the other is reciprocally related.
-
B.
associatedGradedIs
Indicates that one mathematical object is the associated graded object (e.g., graded structure derived from a filtration) of another.
-
C.
hasAssociatedPolynomial
Indicates that one entity is linked to another entity that serves as its associated polynomial, typically representing or characterizing some of its properties or behavior.
-
D.
hasAdjointRepresentation
Indicates that a mathematical object (typically a Lie group or Lie algebra) is associated with its adjoint representation, describing how it acts on its own Lie algebra via the adjoint action.
-
E.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
- 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_69e0b4ae5f1081908768b0c9a3a0bf38 |
completed | April 16, 2026, 10:06 a.m. |
| NER | Named-entity recognition | batch_69e699608d7c8190910217817e789915 |
completed | April 20, 2026, 9:23 p.m. |
| PD | Predicate disambiguation | batch_69e57679eb40819086142df3e39c928e |
completed | April 20, 2026, 12:42 a.m. |
| PDg | Predicate description generation | batch_69e58d766b408190a1d3698145fb6d30 |
completed | April 20, 2026, 2:20 a.m. |
Created at: April 16, 2026, 11:33 a.m.