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Eighteen runnable research utilities
The sixteen earlier utilities now include two computational-model references. Seventeen saved component reports contain 2,056 passed checks: the previous 1,745 plus 137 movement, 131 transport, 12 new documentary-contract and 31 report-input archive checks. No source proof or formal program verification was executed.
Exact finite movement comparison
kserver_reference.py accepts a rational metric, initial labeled tuple and fixed request word. It computes an attained offline optimum by conventional DP, replays a witness, and evaluates fixed-label, nearest-label and independent uniform-label policies exactly. It implements no source competitive policy. It rejects nonmetrics and caps eight points, four servers, 64 requests and three million state-label transitions. Budget exhaustion leaves the complete comparison unknown. Dimensions bound frontier/backpointer storage; work units exclude input validation and do not represent bit operations or wall time.
python3 research/tools/kserver_reference.py research/fixtures/movement-startup-2026-10-09-v1.json
137 checks compare complete short label-string enumeration with DP and policy expectations, then check witness replay, horizon distinctions, metrics and budgets. The saved 30-request startup fixture has fixed-label cost 30 and offline optimum 2. This is a small finite control for the source's activation/additive-cost distinction, not performance evidence on a customer workload.
Exact transport sharpness geometry
transport_sharpness_reference.py reproduces the source's uniform-square three-atom example. It clips rational affine halfplanes, integrates nine map-cell intersections, and compares masses and map norm with analytic formulas. Target W1/W2 use the explicit matching and second-coordinate lower witness; no general transport optimizer runs. It accepts a 256-bit rational parameter 0<a<1/2 and caps 10,000 polygon-vertex examinations. Partial work returns unknown. It proves no arbitrary transport-map or solver guarantee.
python3 research/tools/transport_sharpness_reference.py research/fixtures/transport-three-atom-2026-10-09-v1.json
131 checks cover rational geometry, target metrics, exact half-exponent growth and input/budget boundaries. Saved examples include movement comparisons, explicitly conditional activation schedules and transport controls. No source constructor time is measured.
Documentary and semantic records
The thirteen-contract registry adds language-class, uniform k-server and Brenier-map contracts, with 12 checks. Complete documentation still grants no applicability/independent-verification certificate and does not verify supplied evidence contents. The new joined report flags eleven gaps in one self-authored startup claim. It archives all six exact report inputs. Earlier bundles also have separately recovered input archives whose bytes match the original recorded hashes; their original manifests/reports remain preserved. 31 archive checks verify those bytes and historical registry counts without executing the archived tools.
41 selected definition observations have no detected intended-model mismatch in this limited review. Seven interfaces/24 entries remain pending. This is source inspection, not a trusted checker or whole-proof result. Operational limits.
Full utility directory
| Utility | Capability |
|---|---|
| Proof preflight | Static module/config/trust metadata |
| Withdrawal impact | Explicit corrections/dependency paths |
| Embedding audit | Finite floating-point distortion |
| GAD capacity objective | Finite scalar evaluation |
| Claim contract audit | Thirteen curated documentary contracts |
| Periodic interface reference | Cubic-periodic perimeter formula |
| Binary waveform audit | Exact correlations/sample spectrum |
| Ramanujan graph audit | Exact strict finite spectral bound |
| Cyclic-chain reference | Small-group shortest cyclic quotient chain |
| Evidence bundle | Source fingerprints/joined report |
| Contingency reference | Exact bounded table count/rank |
| Matching certificate audit | Feasibility/attaining cardinality bound |
| Existing-solver adapter | Bounded proposal/separate audit |
| Perfect-pairing reference | Exact count/rank/edge fragility |
| Switch-chain audit | Exact bounded kernel/law/host calibration |
| Tree thinness audit | Exact bounded all-cut ratio/certificate |
| Movement reference | Exact bounded offline optimum and named-policy expectations |
| Transport sharpness reference | Exact three-atom polygon/mass/map-distance control |
Dated validation drivers/output files preserve their earlier editions. Existing successful output paths cannot be reused. Finite checks, syntax/hash consistency and an elapsed work window do not establish broad algorithm superiority, buyer demand or profitability.