Triple
T25433449
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Pólya’s theorem on random walks |
E637316
|
entity |
| Predicate | conclusionForRecurrentCase |
P16516
|
FINISHED |
| Object | the random walk returns to its starting point infinitely often with probability 1 |
—
|
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: the random walk returns to its starting point infinitely often with probability 1 | Statement: [Pólya’s theorem on random walks, conclusionForRecurrentCase, the random walk returns to its starting point infinitely often with probability 1]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: conclusionForRecurrentCase Context triple: [Pólya’s theorem on random walks, conclusionForRecurrentCase, the random walk returns to its starting point infinitely often with probability 1]
-
A.
conclusionOnObstruction
Indicates that a conclusion or decision is made in response to, or as a result of, some form of obstruction or hindrance.
-
B.
concludedBy
Indicates that an event, process, or state is brought to an end or finalized by a specific agent or entity.
-
C.
concludedThat
chosen
Indicates that one entity has reached or stated a judgment, inference, or decision about a proposition or situation involving another entity.
-
D.
subsequentCase
Indicates that one legal case follows another in time or procedural order, often relying on or referencing the earlier case.
-
E.
concludingIssue
Indicates that an issue represents the final or closing installment in a sequence, series, or publication run.
- 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_69e75db6c97081908178383fa632b193 |
completed | April 21, 2026, 11:21 a.m. |
| NER | Named-entity recognition | batch_69f5f6dc7d088190b1e4c191172ea256 |
completed | May 2, 2026, 1:06 p.m. |
| PD | Predicate disambiguation | batch_69f4683b34748190818428489a226124 |
completed | May 1, 2026, 8:45 a.m. |
Created at: April 21, 2026, 1:59 p.m.