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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.