Triple
T9843347
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann–Siegel theta function |
E239279
|
entity |
| Predicate | hasAsymptoticExpansion |
P90299
|
FINISHED |
| Object | (t/2) log(t/2π) − t/2 − π/8 + O(1/t) |
—
|
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: (t/2) log(t/2π) − t/2 − π/8 + O(1/t) | Statement: [Riemann–Siegel theta function, hasAsymptoticExpansion, (t/2) log(t/2π) − t/2 − π/8 + O(1/t)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasAsymptoticExpansion Context triple: [Riemann–Siegel theta function, hasAsymptoticExpansion, (t/2) log(t/2π) − t/2 − π/8 + O(1/t)]
-
A.
canBeAnalyticallyContinuedTo
Indicates that one mathematical object (typically a function) can be extended beyond its original domain in a consistent, analytic way that preserves its defining properties.
-
B.
hasWeierstrassProduct
Indicates that one mathematical object is represented or characterized by a Weierstrass product expansion in terms of another.
-
C.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
-
D.
hasLogarithmicDerivative
Indicates that one quantity is the logarithmic derivative of another, i.e., it represents the derivative of the logarithm of a function (or equivalently the derivative of the function divided by the function itself).
-
E.
finiteAt
Indicates that a function, quantity, or value remains finite (not infinite or undefined) at a specified point or under a given condition.
- 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_69ca84e3f0c48190ada72a65ebd50efd |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb35c8e348190aa090c71bf6f30eb |
completed | April 2, 2026, 12:07 a.m. |
| PD | Predicate disambiguation | batch_69cd03e57cac8190914bb5ae608a6e0e |
completed | April 1, 2026, 11:39 a.m. |
| PDg | Predicate description generation | batch_69cd06ace53081909b5f81f382f6591e |
completed | April 1, 2026, 11:51 a.m. |
Created at: March 30, 2026, 8:33 p.m.