Triple
T23745128
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hirzebruch genera |
E586792
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | multiplicative genus |
C27157
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: multiplicative genus Context triple: [Hirzebruch genera, instanceOf, multiplicative genus]
-
A.
multiplicative character modulo p
A multiplicative character modulo p is a homomorphism from the multiplicative group of nonzero residues modulo a prime p to the complex numbers of absolute value 1, extended by defining its value at 0 (often as 0).
-
B.
geodesic in moduli space
A geodesic in moduli space is the locally length-minimizing path (with respect to a chosen natural metric, such as the Weil–Petersson metric) that describes the most efficient deformation of complex structures or geometric data between two points in the moduli space.
-
C.
homological invariant
chosen
A homological invariant is a quantity or structure derived from homology theory that remains unchanged under specified transformations, used to distinguish and classify mathematical objects up to an appropriate notion of equivalence.
-
D.
L-function
An L-function is a complex analytic function, typically expressed as a Dirichlet series with an Euler product, that encodes deep arithmetic information about objects such as numbers, fields, or algebraic varieties.
-
E.
3-manifold invariant
A 3-manifold invariant is a quantity or structure assigned to a 3-dimensional manifold that remains unchanged under homeomorphisms or diffeomorphisms, used to distinguish and classify such manifolds.
- F. None of above.
Provenance (1 batch)
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_69e24908efb08190bf755c3a9b91f222 |
completed | April 17, 2026, 2:51 p.m. |
Created at: April 17, 2026, 7:12 p.m.