Triple
T36932178
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Miquel point |
E913507
|
entity |
| Predicate | theoremStates |
P186750
|
FINISHED |
| Object | for any triangle and any choice of one point on each side, the three circumcircles of the triangles formed by the vertices and these points are concurrent at the Miquel point |
—
|
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: for any triangle and any choice of one point on each side, the three circumcircles of the triangles formed by the vertices and these points are concurrent at the Miquel point | Statement: [Miquel point, theoremStates, for any triangle and any choice of one point on each side, the three circumcircles of the triangles formed by the vertices and these points are concurrent at the Miquel point]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: theoremStates Context triple: [Miquel point, theoremStates, for any triangle and any choice of one point on each side, the three circumcircles of the triangles formed by the vertices and these points are concurrent at the Miquel point]
-
A.
hasTheorem
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
B.
stateDoctrine
Indicates that a state or government officially endorses, promotes, or is guided by a particular doctrine, ideology, or set of principles.
-
C.
symbolicallyStates
Indicates that one entity expresses or asserts something in a symbolic or representational form rather than in a direct or literal manner.
-
D.
proposition3States
Indicates that a third proposition articulates, asserts, or formally states a particular claim, condition, or content.
-
E.
firstTheoremStates
Indicates that the content of the first theorem asserts or expresses a particular statement or claim.
- 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_69f76e896c988190880c130e01303dd4 |
completed | May 3, 2026, 3:49 p.m. |
| NER | Named-entity recognition | batch_69fa0a7b00948190a257273d9968c5d7 |
completed | May 5, 2026, 3:19 p.m. |
| PD | Predicate disambiguation | batch_69f9fec9c9488190ae2a349651a02782 |
completed | May 5, 2026, 2:29 p.m. |
| PDg | Predicate description generation | batch_69fa0a799b9081909bfa8293a22c4b00 |
completed | May 5, 2026, 3:19 p.m. |
Created at: May 3, 2026, 4:13 p.m.