Published September 6, 2026
| Version v1.2
Preprint
Open
Deterministic Integer Topologies: Bypassing the Matrix-Multiplication Bottleneck via Cache-Resident Graph Traversal
Description
A 6-regular integer lattice of order N = T112 = 6328 occupies 74.16 KiB and fits in a 256 KiB Kaby Lake L2. Two-socket telemetry: 9.76 ns/hop on an i7-7700 (102 M hops/s) and 5.75 ns/hop on an i7-14700F (174 M hops/s). Fail-closed halt 1.5 µs / 800 ns. One 1024×1024 float32 GEMM on the 7700 is 7.48 ms (767k hops). Not a language model. Hops versus FLOPs. This is a measured cache-resident state router, not a transformer.
Software: https://github.com/ultranetcommand-neo/t112-l2-lattice
Table (dataset, not a model): https://huggingface.co/datasets/UltranetCommand/t112-l2-lattice
Files
Gibson_2026_Deterministic_Integer_Topologies.pdf
Files
(37.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:0d315cf15a7be5a39b9be70ef5d24893
|
3.8 kB | Download |
|
md5:605192928616df3dbca60a7b3651fee9
|
11.8 kB | Preview Download |
|
md5:e1b7a73c4cd9e78c8413c074490830f5
|
626 Bytes | Download |
|
md5:98b021105317e626140560360c5f05fe
|
8.0 kB | Preview Download |
|
md5:6fab5590b68187a958b5b0fe996c2d54
|
1.3 kB | Preview Download |
|
md5:cdebf39688788d129142532d9191b499
|
26 Bytes | Preview Download |
|
md5:c87fab9fb398ff615adefd952742fc66
|
4.6 kB | Download |
|
md5:0e04a4a2feb62e989a424ffcf0060834
|
2.0 kB | Preview Download |
|
md5:285d128fa8cc844504fabbc3d1a82164
|
2.0 kB | Preview Download |
|
md5:424ab9018bcc5f7e8492d4760c6f5845
|
2.8 kB | Download |
|
md5:f6c312a1838e2d1da369a328b7f9cc72
|
590 Bytes | Download |
Additional details
Related works
- Is supplement to
- Software: https://github.com/ultranetcommand-neo/t112-l2-lattice (URL)
- Dataset: https://huggingface.co/datasets/UltranetCommand/t112-l2-lattice (URL)
- References
- Publication: 10.5281/zenodo.22071643 (DOI)