Triple
T20471141
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hermite–Biehler theorem |
E502194
|
entity |
| Predicate | conditionOnZeros |
P140217
|
FINISHED |
| Object | zeros of the two associated real polynomials must interlace on the real axis |
—
|
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: zeros of the two associated real polynomials must interlace on the real axis | Statement: [Hermite–Biehler theorem, conditionOnZeros, zeros of the two associated real polynomials must interlace on the real axis]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: conditionOnZeros Context triple: [Hermite–Biehler theorem, conditionOnZeros, zeros of the two associated real polynomials must interlace on the real axis]
-
A.
isZeroFor
Indicates that a given value, expression, or function evaluates to zero when applied to or considered with respect to a specified entity or context.
-
B.
isNonzeroFor
Indicates that a given value, function, or quantity is not equal to zero under specified conditions or for specified inputs.
-
C.
isNonZeroBecause
Indicates that a value is non-zero specifically due to the stated cause, reason, or contributing factor.
-
D.
conditionOnExponents
Indicates a relationship where one quantity or property is defined, constrained, or determined based on the exponents of another expression or set of values.
-
E.
zeroDefinition
Indicates that something has no defined value, quantity, or specification within the given context.
- 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.