Triple
T25130140
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Diophantine equations |
E629500
|
entity |
| Predicate | decidabilityResult |
P91856
|
FINISHED |
| Object | no algorithm exists to decide solvability over integers (Hilbert's tenth problem) |
—
|
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: no algorithm exists to decide solvability over integers (Hilbert's tenth problem) | Statement: [Diophantine equations, decidabilityResult, no algorithm exists to decide solvability over integers (Hilbert's tenth problem)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: decidabilityResult Context triple: [Diophantine equations, decidabilityResult, no algorithm exists to decide solvability over integers (Hilbert's tenth problem)]
-
A.
decidability
chosen
Indicates whether a given problem, property, or statement can be algorithmically determined to be true or false for all possible inputs.
-
B.
resultDetermination
Indicates the process or criteria by which an outcome, decision, or result is established or concluded from given inputs or conditions.
-
C.
provedUndecidableUsing
Indicates that the undecidability of one problem, theory, or statement was established by applying or reducing it to another specific method, result, or formal system.
-
D.
decidedIn
Indicates that a decision, ruling, or outcome was made within a particular case, proceeding, or deliberative context.
-
E.
decisionOutput
Indicates that a decision-making process produces or yields a particular outcome or result.
- 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_69e2ff3288048190bd82c3b7f7bd0e62 |
completed | April 18, 2026, 3:49 a.m. |
| NER | Named-entity recognition | batch_69f48b9b687881908fd87a2f5fa0b1e7 |
completed | May 1, 2026, 11:16 a.m. |
| PD | Predicate disambiguation | batch_69f48060597c8190a4414e4e4fcb1fec |
completed | May 1, 2026, 10:28 a.m. |
Created at: April 18, 2026, 6:28 a.m.