Triple
T5570765
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fermat curve |
E146193
|
entity |
| Predicate | trivialRationalPoints |
P64880
|
FINISHED |
| Object | (±1,0) and (0,±1) in affine form |
—
|
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: (±1,0) and (0,±1) in affine form | Statement: [Fermat curve, trivialRationalPoints, (±1,0) and (0,±1) in affine form]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: trivialRationalPoints Context triple: [Fermat curve, trivialRationalPoints, (±1,0) and (0,±1) in affine form]
-
A.
moduliSpacePoint
Indicates that one entity is a point representing an isomorphism class of geometric or algebraic objects in the moduli space associated with the other entity.
-
B.
hasWeierstrassPoints
Indicates that a given algebraic curve possesses one or more Weierstrass points, i.e., special points where the gap sequence of holomorphic differentials deviates from the generic case.
-
C.
isBelyiCurve
Indicates that a given algebraic curve is a Belyi curve, i.e., it admits a holomorphic map to the projective line branched over at most three points.
-
D.
hasOrderOfPoleAtLatticePoints
Indicates that a function has poles of specified orders at each point of a given lattice in its domain.
-
E.
nontrivialZerosRegion
Indicates that the nontrivial zeros of a function (typically the Riemann zeta function) lie within a specified region of the complex plane.
- 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_69c008ffed108190a084602227af6157 |
completed | March 22, 2026, 3:21 p.m. |
| NER | Named-entity recognition | batch_69c020502a288190af37f9ebb88fccae |
completed | March 22, 2026, 5:01 p.m. |
| PD | Predicate disambiguation | batch_69c01b12826c8190969a584d0f53aa44 |
completed | March 22, 2026, 4:38 p.m. |
| PDg | Predicate description generation | batch_69c01f4032408190a4f0d2eb21ebd870 |
completed | March 22, 2026, 4:56 p.m. |
Created at: March 22, 2026, 3:37 p.m.